Dr Sanjaye Ramgoolam
Reader in Theoretical Physics
Email: s.ramgoolam@qmul.ac.uk
Telephone: 020 7882 5799
Room Number: G. O. Jones Building, Room 609
Profile
My research is in the areas of string theory, combinatorics and representation theory. My papers are available at Google Scholar
I am currently teaching Mathematical Techniques 4 (Year 3) and Advanced Quantum Field theory (Year 4)
Teaching
Currently teaching :
 PHY6324 (Mathematical Techniques 4)
 SPA7001U/P (Advanced Quantum Field Theory)
Undergraduate Projects supervised :
 From classical strings to photons and gravtions
 Plasma Physics and Nuclear Fusion
 Dark Matter, dark energy and cosmology
 Entanglement and decoherence in quantum physics
Modules taught in the past :
 Electromagnetic theory (4th year MSci course)
 Quantum Mechanics and Symmetry (3rd year)
 Electromagnetism for premedical (at Brown)
 Quantum Physics (1st year)
Research
Research Interests:
String theory, representation theory, combinatorics
A primary area of focus in my research is gaugestring duality, in particular the AdS/CFT correspondence, which relates 4dimensional quantum field theory (QFT) to 10dimensional string theory. I have developed a mathematical framework based on representation theory and combinatorics for understanding the map between states in the QFT and states of strings, branes and geometries in the 10 dimensions. The mathematical framework has been used to develop holographic perspectives on tensor models. A recent theme emerging from these investigations is the role of twodimensional topological field theories (TFT2) as a structure which captures both the combinatorics and spacetime dependences of correlators in fourdimensional theories. My latest paper on this theme defines diagram algebras which give mathematical meaning to tensorial calculus in general dimensions used in the dimensional regularization technique of quantum field theory. Links to a selection of papers are given below.
A very recent interdisciplinary direction (initiated in a collaboration with D. Kartsaklis and M. Sadrzadeh) has been to develop matrix theory techniques to give a framework for analyzing matrix data in computational linguistics. I am also interested in wider applications of random matrix theory ideas to data.
A complete list of my papers can be accessed at InspireHEPdatabase or Google scholar (Following standard practice in theoretical particle physics, author lists are all alphabetical)
Selected papers organised by theme (although some lie at interfaces of these themes)
Tensor Models
1. Tensor models and branched covers.
2. Tensor models, Kronecker coefficients and permutation algebras.
CFT4 as TFT2
1. CFT4 as SO(4,2)invariant TFT2
3. Polynomial rings and CFT primary fields
4. Perturbative CFTs and diagram algebras
Physics of Language
2. Permutation Invariant Gaussian Matrix Models (PIGMM)
3. PIGMM meet data. (a talk on this at conference QPL2020)
AdS/CFT, giant graviton branes, correlators of gauge invariant operators
HalfBPS case (related to onematrix combinatorics)
EighthBPS case (related to multimatrix combinatorics)
 Diagonal multimatrix correlators and BPS operators in N=4 SYM.
 From counting to construction of BPS states in N=4 SYM.
 Branes, antibranes and brauer algebras in gaugegravity duality.
NonBPS and Integrability
Fuzzy geometry
 On spherical harmonics for fuzzy spheres in diverse dimensions.
 The Fuzzy S2 structure of M2M5 systems in ABJM membrane theories.
 Noncommutative gravity from the AdS / CFT correspondence.
 Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons.
Mathematical models of gaugestring duality
 Large N 2D YangMills theory and topological string theory
 From Matrix Models and Quantum Fields to Hurwitz Space and the absolute Galois Group.
 Strings from Feynman Graph counting : without large N.
Supersymmetric Gauge theories
Matrix Model of Mtheory
Examples of research funding:
Current and recent grants (PI or CoI)
 Visiting Professorship, Wits University South Africa
 Science and Technology Facilities Council (£ 890,210) Consolidated Grant String Theory ``Amplitudes,Strings and Duality,'' (20202023)
 Science and Technology Facilities Council, (£703,989). Brandhuber, Berman, Buican, Figueras, Ramgoolam, Russo, Shigemori, Spence, Thomas, Travaglini, White. Consolidated grant String theory, gauge theory and duality (20172020)
 Science and Technology Facilities Council, (£632,431). Brandhuber, Berman, Ramgoolam, Russo, Spence, Thomas, Travaglini, Wecht. Consolidated grant String theory, gauge theory and duality (20112014)
 Workshop on ``Permutations and gaugestring duality,'' (July 2014) funded by STFC and European Science Foundation Activity ``holography and strongly coupled systems'' and South African National Research Foundation.
 Science and Technology Facilities Council, (£1,431,413). Spence Berman, Brandhuber, Ramgoolam, Russo, Thomas, Travaglini. Rolling grant String theory, gauge theory and duality (20082013)
 Particle Physics and Astronomy Research Council: Spence , Berman, Brandhuber, Ramgoolam, Thomas. Rolling grant String theory, gauge theory and gravity (20062010), (£249,800.)
 STFC (PPARC) Advanced Fellowship, 20032008 (£220,000)
 Scientist in charge for Marie Cure Outgoing Fellowship ( MOIFCT2006038381) held by Diego Rodriguez Gomez at QMUL and Princeton.
 Royal Society International exchange grants with South Africa and Cyprus.
Publications
The complete and uptodate list of my publications is available at the InspireHep database and at Google Scholar
A description of some my research organized according to some general themes is under the Research tab.

LewisBrown C, Ramgoolam S (2021). QuarterBPS states, multisymmetric functions and set partitions. nameOfConference

de Mello Koch R, Ramgoolam S (2020). Perturbative 4D conformal field theories and representation theory of diagram algebras. nameOfConference
QMRO: qmroHref 
Ramgoolam S, Wilson MC, Zahabi A (2020). Quiver asymptotics: N=1 free chiral ring. nameOfConference
QMRO: qmroHref 
Kemp G, Ramgoolam S (2020). BPS states, conserved charges and centres of symmetric group algebras. nameOfConference
QMRO: qmroHref 
Ramgoolam S (2019). Permutation invariant Gaussian matrix models. nameOfConference

Kartsaklis D, Ramgoolam S, Sadrzadeh M (2019). Linguistic matrix theory. nameOfConference
DOI: 10.4171/aihpd/75

Ramgoolam S, Sedlak M (2019). Quantum information processing and composite quantum fields. nameOfConference

LewisBrown C, Ramgoolam S (2018). BPS operators in N=4 SO(N) super YangMills theory: plethysms, dominoes and words. nameOfConference

Koch RDM, Ramgoolam S (2018). Free field primaries in general dimensions: counting and construction with rings and modules. nameOfConference

Geloun JB, Ramgoolam S (2017). Tensor Models, Kronecker coefficients and Permutation Centralizer Algebras. nameOfConference

Koch RDM, Rabambi P, Rabe R et al. (2017). Free quantum fields in 4D and CalabiYau spaces. nameOfConference

Koch RDM, Rabambi P, Rabe R et al. (2017). Counting and construction of holomorphic primary fields in free CFT4 from rings of functions on CalabiYau orbifolds. nameOfConference

Kimura Y, Ramgoolam S, Suzuki R (2016). Flavour singlets in gauge theory as permutations. nameOfConference

Ramgoolam S (2016). Permutations and the combinatorics of gauge invariants for general $N$. nameOfConference
DOI: 10.22323/1.263.0107

Hanany A, Ramgoolam S, RodriguezGomez D (publicationYear). Highest Weight Generating functions for hyperKahler T*(G/H) spaces. nameOfConference

Mattioli P, Ramgoolam S (2016). Gauge invariants and correlators in flavoured quiver gauge theories. nameOfConference

Hanany A, Jejjala V, Ramgoolam S et al. (2016). Consistency and derangements in brane tilings. nameOfConference

de Mello Koch R, Ramgoolam S (2016). Interactions as intertwiners in 4D QFT. nameOfConference

Mattioli P, Ramgoolam S (2016). Permutation Centralizer Algebras and MultiMatrix Invariants. nameOfConference

Garner D, Ramgoolam S (2015). The geometry of the lightcone cell decomposition of moduli space. nameOfConference
DOI: 10.1063/1.4934365

Freidel L, Garner D, Ramgoolam S (2015). Permutation combinatorics of worldsheet moduli space. nameOfConference

Mattioli P, Ramgoolam S (2015). Quivers, words and fundamentals. nameOfConference

Koch RDM, Ramgoolam S (publicationYear). CFT4 as SO(4,2)invariant TFT2. nameOfConference

Garner D, Ramgoolam S, Wen C (publicationYear). Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5. nameOfConference

Geloun JB, Ramgoolam S (2014). Counting Tensor Model Observables and Branched Covers of the 2Sphere. nameOfConference
DOI: 10.4171/aihpd/4

Garner D, Ramgoolam S (2013). Holographic hierarchy in the Gaussian matrix model via the fuzzy sphere. nameOfConference

de Mello Koch R, Ramgoolam S, Wen C (2013). On the refined counting of graphs on surfaces. nameOfConference
QMRO: qmroHref 
Pasukonis J, Ramgoolam S (2013). Quivers as Calculators: Counting, Correlators and Riemann Surfaces. nameOfConference

de Mello Koch R, Ramgoolam S (2012). A double coset ansatz for integrability in AdS/CFT. nameOfConference
QMRO: qmroHref 
Pasukonis J, Ramgoolam S (2012). Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons. nameOfConference
QMRO: qmroHref 
de Mello Koch R, Ramgoolam S (2012). Strings from Feynman graph counting: Without large N. nameOfConference
QMRO: qmroHref 
Hanany A, He YH, Jejjala V et al. (2012). INVARIANTS OF TORIC SEIBERG DUALITY. nameOfConference
QMRO: qmroHref 
Hanany A, He YH, Jejjala V et al. (2012). Invariants of toric seiberg duality. nameOfConference
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Hanany A, Jejjala V, Ramgoolam S et al. (2011). CalabiYau orbifolds and torus coverings. nameOfConference
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Hanany A, Jejjala V, Ramgoolam S et al. (2011). CalabiYau orbifolds and torus coverings. nameOfConference
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Jejjala V, Ramgoolam S, RodriguezGomez D (2011). Toric CFTs, permutation triples, and Belyi pairs. nameOfConference
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Pasukonis J, Ramgoolam S (2011). From counting to construction of BPS states in SYM. nameOfConference
QMRO: qmroHref 
Hanany A, He YH, Jejjala V et al. (2011). The beta ansatz: A tale of two complex structures. nameOfConference
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Kimura Y, Ramgoolam S, Turton D (2010). Free particles from Brauer algebras in complex matrix models. nameOfConference
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Nastase H, Papageorgakis C, Ramgoolam S (2009). The fuzzy S2 structure of M2M5 systems in ABJM membrane theories. nameOfConference

Brown TW, Heslop PJ, Ramgoolam S (2009). Diagonal free field matrix correlators, global symmetries and giant gravitons. nameOfConference
QMRO: qmroHref 
Kimura Y, Ramgoolam S (2008). Enhanced symmetries of gauge theory and resolving the spectrum of local operators. nameOfConference
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Kimura Y, Ramgoolam S (2008). Holomorphic maps and the complete 1/N expansion of 2D SU(N) YangMills. nameOfConference
QMRO: qmroHref 
Brown TW, Heslop PJ, Ramgoolam S (2008). Diagonal multimatrix correlators and BPS operators in N=4 SYM. nameOfConference
QMRO: qmroHref 
Ramgoolam S (2008). SchurWeyl duality as an instrument of gaugestring duality. nameOfConference
DOI: 10.1063/1.2972012
QMRO: qmroHref 
Kimura Y, Ramgoolam S (2007). Branes, antibranes and Brauer algebras in gaugegravity duality. nameOfConference
QMRO: qmroHref 
de Haro S, Ramgoolam S, Torrielli A (2007). Large N expansion of qdeformed twodimensional YangMills theory and Hecke algebras. nameOfConference
QMRO: qmroHref 
Brown T, Ramgoolam S, Koch RD et al. (2007). Correlators, probabilities and topologies in N=4 SYM. nameOfConference
QMRO: qmroHref 
Papageorgakis C, Ramgoolam S (2006). On timedependent collapsing branes and fuzzy odddimensional spheres. nameOfConference

McNamara S, Papageorgakis C, Ramgoolam S et al. (2006). Finite N effects on the collapse of fuzzy spheres. nameOfConference

Papageorgakis C, Ramgoolam S, Toumbas N (2006). Noncommutative geometry, quantum effects and DBIscaling in the collapse of D0D2 bound states. nameOfConference

Koch RD, Jevicki A, Ramgoolam S (2005). On exponential corrections to the 1/N expansion in twodimensional Yang Mills. nameOfConference
QMRO: qmroHref 
de Medeiros P, Ramgoolam S (2005). Nonassociative gauge theory and higher spin interactions. nameOfConference
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RAMGOOLAM SK, Papageorgakis C (2005). Largesmall dualities between periodic collapsing/expanding branes and brane funnels. nameOfConference

Ramgoolam S, Spence B, Thomas S (2004). Resolving brane collapse with 1/N corrections in nonAbelian DBI. nameOfConference

Ramgoolam S (2004). Towards gauge theory for a class of commutative and nonassociative fuzzy spaces. nameOfConference
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Corley S, Ramgoolam S (2004). Strings on plane waves, superYangMills in four dimensions, quantum groups at roots of one. nameOfConference
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Lowe DA, Nastase H, Ramgoolam S (2003). Massive IIA string theory and Matrix theory compactification. nameOfConference
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Corley S, Ramgoolam S (2002). Finite factorization equations and sum rules for BPS correlators in N=4 SYM theory. nameOfConference
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Ramgoolam S (2002). Higher dimensional geometries related to fuzzy odddimensional spheres. nameOfConference
QMRO: qmroHref 
Ho PM, Ramgoolam S (2002). Higherdimensional geometries from matrix brane constructions. nameOfConference
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Ramgoolam S (2001). On spherical harmonics for fuzzy spheres in diverse dimensions. nameOfConference
QMRO: qmroHref 
Corley S, Lowe DA, Ramgoolam S (2001). EinsteinHilbert action on the brane for the bulk graviton. nameOfConference
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RAMGOOLAM SK, Jevicki A, Corley S (2001). Exact correlators of giant gravitons from dual N=4 SYM theory. nameOfConference
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Corley S, Ramgoolam S (2001). Projector equivalences in K theory and families of noncommutative solitons. nameOfConference
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Guralnik Z, Ramgoolam S (2001). On the polarization of unstable D0branes into noncommutative odd spheres. nameOfConference
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Mihailescu M, Ramgoolam S (2000). Duality and combinatorics of long strings in ADS3. nameOfConference
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Jevicki A, Mihailescu M, Ramgoolam S (2000). Noncommutative spheres and the AdS/CFT correspondence. nameOfConference
QMRO: qmroHref 
Ramgoolam S (2000). A remark on Tduality and quantum volumes of zerobrane moduli spaces. nameOfConference
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Jevicki A, Mihailescu M, Ramgoolam S (2000). Gravity from CFT on SN(X) : symmetries and interactions. nameOfConference
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Ho PM, Ramgoolam S, Tatar R (2000). Quantum spacetimes and finite N effects in 4D super Yang–Mills theories. nameOfConference
QMRO: qmroHref 
Jevicki A, Ramgoolam S (1999). Non commutative gravity from the ADS/CFT correspondence. nameOfConference
QMRO: qmroHref 
Gopakumar R, Ramgoolam S (1998). Scattering of zerobranes off elementary strings in Matrix theory. nameOfConference
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Ganor OJ, Gopakumar R, Ramgoolam S (1998). Higher loop effects in M(atrix) orbifolds. nameOfConference
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Cordes S, Moore G, Ramgoolam S (1997). Large N 2D YangMills Theory and Topological String Theory. nameOfConference
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Barbón JLF, Ramgoolam S (1997). Some properties of unstable monopoles in superQCD. nameOfConference
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RAMGOOLAM S (1996). WILSON LOOPS IN 2D YANGMILLS: EULER CHARACTERS AND LOOP EQUATIONS. nameOfConference
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Cordes S, Moore G, Ramgoolam S (1995). Lectures on 2D yangmills theory, equivariant cohomology and topological field theories. nameOfConference
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Ramgoolam S (1994). Comment on twodimensional O(N) and Sp(N) YangMills theories as string theories. nameOfConference
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Moore G, Plesser MR, Ramgoolam S (1992). Exact Smatrix for twodimensional string theory. nameOfConference
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Supervision
PhDs/Postdocs
PhD students supervised :
 Costis Papageorgakis
 Tom Brown
 David Turton
 Jurgis Pasukonis
 David Garner
 Paolo Mattioli
 Christopher LewisBrown (Current)
 George Barnes
 Adrian Padellaro
Recent postdoctoral collaborators at QMUL :
 Ali Zahabi
 Diego Rodriguez Gomez
 Vishnu Jejjala
 Yusuke Kimura
 Paul Heslop
 Congkao Wen
This is not an exhaustive list and I would be happy to discuss other project possibilities.
Project Title
Combinatorics and Representation Theory in CFT, ADS/CFT, matrix/tensor models.
Symmetric groups and their group algebras, along with concepts in representation theory including SchurWeyl duality, have been applied to the study of halfBPS states in N=4 SYM theory, in particular to clarify the holographic map of the AdS/CFT correspondence. For full details click here
Public Engagement
Outreach
Some popular science talks/presentations
 Linguistic Matrix Theory Video.
 Holography, Information and Meaning: Hidden symmetries of Matrix Physics [PDF 3,276KB]  Ps Star talk, 02/2019
 Duality and Emergence in String theory, talk at the Mauritius Diaspora Conference 2018
 Symmetries and Surprises in String Theory (Talk for Psi Star QMUL, December 2013)
 What is String Theory ? (talk at Bryanston School, April 2012)
 Strings and hidden geometries (talk at Inauguration of School of Phys and Astro 2012)
 String Theory and Hidden dimensions of spacetime (talk for Waltham Forest Physics masterclass)
 From force and matter to strings( talk at Highgate school, 2003)
 Strings in the quantum world ( talk at Oxford, 2009 )
 Duality and the nature of quantum spacetime : ( talk at Oxford,Jan 2009 )
 Space and Time, Light and Gravity in String Theory ( talk at PPARC 2006)
Some research presentations
 Permutation centralizer?algebras, polynomial invariants and supersymmetric states [PDF 1,066KB](talk at conference on representation theory and physics, Leeds, July 2016)
 BPS states, permutations and information (talk at YITP Kyoto programme on string theory, condensed matter physics and quantum information, June 2016)
 Quantum Field thories (QFTs), quivers and word combinatorics [PDF 4,825KB] (talk at theory group, computer science, EECS, QMUL, Oct. 21, 2015)
 CFT4?(4D?conformal QFT) as TFT2( 2D topological field theory) [PDF 4,438KB] (talk at school of Maths, QMUL, Mar 2, 2015)
 Quiver gauge theory and TFT2s (2d topological field theories) [PDF 8,116KB] (talk at Quantum integrability workshop, Surrey, 08/2014)
 Quantum states to brane geometries via fuzzy moduli space [PDF 517KB] (talk at Oxford Maths Institute, 02/12)
 Permutations, strings and Feynman Graphs [PDF 631KB] ( talk at City Maths Dept, 11/2011)
 Strings, Permutations and Quantum Fields [PDF 476KB] (talk at Corfu2011 workshop on noncommutatve field theory and gravity)
 Symmetric groups and local operators in gauge theory [PDF 499KB] (talk at Lisbon 2011)
 From numbers to strings and branes [PDF 83KB] (talk at Galileo Galilei Institute 2011)
 Feynman Diagrams and Absolute Galois group [PDF 293KB] (talk at B(A)MC 2010)
 Matrix Models, Hurwitz spaces Galois Group [PDF 667KB](talk in Southampton Pure Maths group)
 Fuzzy geometry of membranes in Mtheory [PDF 314KB] (talk at Imperial)
Short review articles:
 Permutations and the combinatorics of gauge invariants for general N.
 SchurWeyl duality and Gaugestring duality (Talk given at "Ten years of AdS/CFT in Argentina,2008)