I am a director of the Centre for Research in String Theory (CRST). My main research interests are aimed at gaining a deeper understanding of gauge theories and theories of gravity and their interrelations, exploiting insights from string theory and dualities. In the past this has included many topics: the study of the non-perturbative dynamics of supersymmetric gauge theories using exactly calculable anomalies, branes in string theory and dualities; M-theory compactifications on G_2 manifolds and their implications for model building; and the AdS/CFT correspondence.
Since 2004 I have been working in the rapidly growing and fertile area of modern methods for scattering amplitudes. Due to the extensive work of me and my collaborators at the CRST we are now one of the leading groups in amplitudes research with currently seven group members working in this area. Topics that I am particularly interested in include:
- Discovery of novel on-shell methods for scattering amplitudes in gauge theories and gravity. This includes supersymmetric and non-supersymmetric theories such as pure Yang-Mills and QCD, and theories in various dimensions including ABJM-type Chern-Simons matter theories in d=3 and six-dimensional theories.
- The duality of Wilson loops and amplitudes, and its relation to hidden mathematical structures such as dual conformal symmetry and integrable structures
- The study of form factors and their relations to amplitudes in QCD. In particular the exploration of the unexpected similarity of form factors in N=4 supersymmetric Yang-Mills and Higgs plus parton amplitudes in QCD, and its relation to new mathematical structures such as transcendentality.
- Applications of modern amplitude methods to extract classical observables in General Relativity relevant for gravitational wave physis.
- STFC Consolidated Grant: "Amplitudes, Strings and Duality" ST/T000686/1, A Brandhuber (PI), DS Berman, M Buican, MB Green, RJF Monteiro, C Papageorgakis, MG Perry, S Ramgoolam, R Russo, G Travaglini, C White, GBP890,210 (2020-2023).
- STFC Consolidated Grant: "String Theory, Gauge Theory and Duality" ST/P000754/1, A Brandhuber (PI), DS Berman, S Ramgoolam, R Russo, M Shigemori, WJ Spence, S Thomas, G Travaglini, C Papageorgakis, C White, GBP710,337 (2017-2020).
- European Training Network "SAGEX", Scattering Amplitudes: from Geometry to Experiment, PI G Travaglini, 8 academic partner universities, ca. 4,000,000 Euro
- STFC Consolidated Grant, String Theory, Gauge Theory and Duality, A Brandhuber (PI), DS Berman, S Ramgoolam, R Russo, WJ Spence, S Thomas, G Travaglini, and B Wecht, GBP726,605 (2014-2017).
STFC Consolidated Grant, String Theory, Gauge Theory and Duality, A Brandhuber (PI), DS Berman, S Ramgoolam, R Russo, WJ Spence, S Thomas, G Travaglini, and B Wecht, GBP632,431 (2011-2014).
- Engineering and Physical Sciences Research Council (EPSRC): A. Brandhuber, WJ Spence and G. Travaglini: Grant for the International Workshop: "Amplitudes 2010", GBP6,363 (May 2010).
STFC Rolling Grant, String Theory, Gauge Theory and Duality, A Brandhuber (PI), DS Berman, S Ramgoolam, R Russo, WJ Spence, S Thomas, G Travaglini, GBP1,405,736 (2008-2013); superceded in 2011 by STFC Consolidated Grant.
INFN (Italy): Brandhuber, Spence, Travaglini, V. Del Duca (INFN, Torino), N. Glover (IPPP, Durham), D. Kosower (CEA, Saclay), E. Laenen (Nikhef, Amsterdam), G. Passarino (University of Torino), D. Zeppenfeld (University of Karlsruhe). Two month workshop "Advancing Collider Physics: from Twistors to Monte Carlos" at the Galileo Galilei Institute for Theoretical Physics, Arcetri, Florence, Italy, August 27-October 26 2007, (EURO 125,000).
PPARC Rolling Grant "String theory, gauge theory and gravity", Berman, Brandhuber, Ramgoolam, Spence, Thomas, GBP 249,800 (2006-2008).
Engineering and Physical Sciences Research Council (EPSRC): A. Brandhuber and B. Spence: Grant for the International Workshop: "From Twistors to Amplitudes", GBP4,700 (November 2005).
Particle Physics and Astronomy Research Council (PPARC) Special Project Grant: A. Brandhuber and B. Spence, "Gauge theory, string theory and twistor space techniques", GBP134,010, (2005-2007).
European Union, Framework 6, Marie Curie Training and Mobility of Researchers Grant, "Superstrings", EURO259,980, (2004-2008).
My list of publications:
Scattering Amplitudes describes broadly the research direction I am planning to work on with PhD students. I am more than happy to discuss details of my current research focus with potential applicants.