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
My recent work has largely been in 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 symmetric groups, Brauer algebras, representation theory, combinatorics, in understanding the map between states in the QFT and states of strings, branes and geometries in the 10 dimensions. 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. I have also developed simple mathematical models of gaugestring duality in low dimensions, e.g deriving the counting of strings wrapping the twodimensional sphere from matrix models, which can be viewed as zero dimensional QFT. Some of the mathematical techniques have also been applied to find new counting results for Feynman diagrams in QFT, including the simplest ones : scalar field theory and quantum electrodynamics (QED, which describes photons and electrons).
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. This is a video of the talk I gave at the ``Quantum Physics and Logic'' conference organized by the Oxford Quantum Group.
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
CFT4 as TFT2
1. CFT4 as SO(4,2)invariant TFT2
3. Free quantum fields in 4D and Calabi Yau spaces
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 :
 Visiting Professorship, Wits University South Africa
 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)
 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

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

Kartsaklis D, Ramgoolam S, Sadrzadeh M (2017). Linguistic Matrix Theory.. nameOfConference

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

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

Geloun JB, Ramgoolam S (2014). Counting Tensor Model Observables and Branched Covers of the 2Sphere. nameOfConference

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

Koch RDM, Ramgoolam S, Wen C (2013). On the refined counting of graphs on surfaces. nameOfConference

Pasukonis J, Ramgoolam S (2013). Quivers as Calculators: Counting, Correlators and Riemann Surfaces. nameOfConference

Koch RDM, Ramgoolam S (2012). A double coset ansatz for integrability in AdS/CFT. nameOfConference

Pasukonis J, Ramgoolam S (2012). Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons. nameOfConference

Koch RDM, Ramgoolam S (2012). Strings from Feynman graph counting: Without large N. nameOfConference

Hanany A, He YH, Jejjala V et al. (2012). INVARIANTS OF TORIC SEIBERG DUALITY. nameOfConference

Hanany A, Jejjala V, Ramgoolam S et al. (2011). CalabiYau orbifolds and torus coverings. nameOfConference

Hanany A, He YH, Jejjala V et al. (2011). The beta ansatz: a tale of two complex structures. nameOfConference

Jejjala V, Ramgoolam S, RodriguezGomez D (2011). Toric CFTs, permutation triples, and Belyi pairs. nameOfConference

Pasukonis J, Ramgoolam S (2011). From counting to construction of BPS states in N=4 SYM. nameOfConference

Kimura Y, Ramgoolam S, Turton D (2010). Free particles from Brauer algebras in complex matrix models. nameOfConference

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

Kimura Y, Ramgoolam S (2008). Enhanced symmetries of gauge theory and resolving the spectrum of local operators. nameOfConference

Kimura Y, Ramgoolam S (2008). Holomorphic maps and the complete 1/N expansion of 2D SU(N) YangMills. nameOfConference

Brown TW, Heslop PJ, Ramgoolam S (2008). Diagonal multimatrix correlators and BPS operators in N=4 SYM. nameOfConference

Ramgoolam S (2008). SchurWeyl duality as an instrument of gaugestring duality. nameOfConference

Kimura Y, Ramgoolam S (2007). Branes, antibranes and Brauer algebras in gaugegravity duality. nameOfConference

de Haro S, Ramgoolam S, Torrielli A (2007). Large N expansion of qdeformed twodimensional YangMills theory and Hecke algebras. nameOfConference

Brown T, Ramgoolam S, Koch RD et al. (2007). Correlators, probabilities and topologies in N=4 SYM. nameOfConference

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

de Medeiros P, Ramgoolam S (2005). Nonassociative gauge theory and higher spin interactions. nameOfConference

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

Corley S, Ramgoolam S (2004). Strings on plane waves, superYangMills in four dimensions, quantum groups at roots of one. nameOfConference

Lowe DA, Nastase H, Ramgoolam S (2003). Massive IIA string theory and Matrix theory compactification. nameOfConference

Corley S, Ramgoolam S (2002). Finite factorization equations and sum rules for BPS correlators in N=4 SYM theory. nameOfConference

Ramgoolam S (2002). Higher dimensional geometries related to fuzzy odddimensional spheres. nameOfConference

Ho PM, Ramgoolam S (2002). Higherdimensional geometries from matrix brane constructions. nameOfConference

Ramgoolam S (2001). On spherical harmonics for fuzzy spheres in diverse dimensions. nameOfConference

Corley S, Lowe DA, Ramgoolam S (2001). EinsteinHilbert action on the brane for the bulk graviton. nameOfConference

RAMGOOLAM SK, Jevicki A, Corley S (2001). Exact correlators of giant gravitons from dual N=4 SYM theory. nameOfConference

Corley S, Ramgoolam S (2001). Projector equivalences in K theory and families of noncommutative solitons. nameOfConference

Guralnik Z, Ramgoolam S (2001). On the polarization of unstable D0branes into noncommutative odd spheres. nameOfConference

Mihailescu M, Ramgoolam S (2000). Duality and combinatorics of long strings in. nameOfConference

Jevicki A, Mihailescu M, Ramgoolam S (2000). Noncommutative spheres and the AdS/CFT correspondence. nameOfConference

Ramgoolam S (2000). A remark on Tduality and quantum volumes of zerobrane moduli spaces. nameOfConference

Jevicki A, Mihailescu M, Ramgoolam S (2000). Gravity from CFT on SN(X) : symmetries and interactions. nameOfConference

Ho PM, Ramgoolam S, Tatar R (2000). Quantum spacetimes and finite effects in 4D super Yang–Mills theories. nameOfConference

Jevicki A, Ramgoolam S (1999). Non commutative gravity from the ADS/CFT correspondence. nameOfConference

Ramgoolam S, Waldram D (1998). Zero branes on a compact orbifold. nameOfConference

Guralnik Z, Ramgoolam S (1998). From 0branes to torons. nameOfConference

Brodie J, Ramgoolam S (1998). On matrix models of M5 branes. nameOfConference

Gopakumar R, Ramgoolam S (1998). Scattering of zerobranes off elementary strings in Matrix theory. nameOfConference

Ganor OJ, Gopakumar R, Ramgoolam S (1998). Higher loop effects in M(atrix) orbifolds. nameOfConference

Guralnik Z, Ramgoolam S (1997). Torons and Dbrane bound states. nameOfConference

Ganor O (1997). Branes, fluxes and duality in M(atrix)theory. nameOfConference

Cordes S, Moore G, Ramgoolam S (1997). Large N 2D YangMills Theory and Topological String Theory. nameOfConference

Ramgoolam S, Thorlacius L (1997). Dbranes and physical states. nameOfConference

Barbón JLF, Ramgoolam S (1997). Some properties of unstable monopoles in superQCD. nameOfConference

RAMGOOLAM S (1996). WILSON LOOPS IN 2D YANGMILLS: EULER CHARACTERS AND LOOP EQUATIONS. nameOfConference

Cordes S, Moore G, Ramgoolam S (1995). Lectures on 2D yangmills theory, equivariant cohomology and topological field theories. nameOfConference

Ramgoolam S (1994). Comment on twodimensional O(N) and Sp(N) YangMills theories as string theories. nameOfConference

Moore G, Ronen Plesser M, Ramgoolam S (1992). Exact Smatrix for twodimensional string theory. nameOfConference

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

Koch RDM, Ramgoolam S (publicationYear). Interactions as intertwiners in 4D QFT. nameOfConference

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

RAMGOOLAM SK (publicationYear). Permutation centralizer algebras and multimatrix invariants. nameOfConference

Garner D, Ramgoolam S, Wen C (publicationYear). Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5. nameOfConference
PhD Supervision
PhDs/Postdocs
PhD students supervised :
 Costis Papageorgakis
 Tom Brown
 David Turton
 Jurgis Pasukonis
 David Garner
 Paolo Mattioli
 Christopher LewisBrown (Current)
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 GaugeString in CFT and ADS/CFT
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
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)
A short review article:
 SchurWeyl duality and Gaugestring duality (Talk given at "Ten years of AdS/CFT in Argentina,2008)
Outreach
Some popular talks :
 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)