Professor Fernando Alday

Fellow and Tutor in Mathematics

Professor of Mathematical Physics

Lic Bariloche, PhD Trieste, MA Oxf

Fernando received his undergraduate education at Argentina, Instituto Balseiro, obtaining his degree in Physics in 2001. Thereafter, he was awarded his Ph.D. at SISSA, Trieste, Italy, in 2004. In 2010 he joined the University of Oxford and Hertford College, as a University Lecturer in Mathematical Physics. In 2012 he was awarded the title of Professor of Mathematical Physics.

Undergraduate teaching 

Fernando teaches undergraduate tutorials in Applied Mathematics.

Postgraduate teaching 

At the moment Fernando is supervising two DPhil students. One working in the AdS/CFT duality and the other working in super-symmetric Gauge Theories.


Fernando's research focuses in theoretical high energy physics and string theory. Over the last few years, Fernando studied dualities/equivalences among different theories and pursued two different directions:
Direction 1 deals with the so called AdS/CFT duality: a duality, or equivalence, between quantum theories describing fundamental particles and the interactions among them, and gravitational theories, such as the theory describing planetary motion. In 2007, Fernando discovered how to use such duality in order to understand the scattering of elementary particles in terms of a purely geometrical picture.
Direction 2 deals with a new duality that relates certain theories of elementary particles (called four-dimensional super-symmetric gauge theories) and certain theories, called Conformal Field Theories, that live in two dimensions. This duality, known in the community as the AGT conjecture (after Alday-Gaiotto-Tachikawa), brought together several branches of Physics and Mathematics, and opened the path to new areas of research.


Journal Articles
L.F.Alday, M. Fluder, J. Sparks, “The Large N limit of M2-branes on Lens spaces”, (2012).
L.F. Alday, E.I. Buchbinder and A.A. Tseytlin, “Correlation function of null polygonal Wilson loops with local operators”, JHEP 1109 (2011) 034.
L.F. Alday and A. Tseytlin, “On strong-coupling correlation functions of circular Wilson loops and local operators”, J.Phys.A A44 (2011) 395401.
L.F. Alday, “Some analytic results for two-loop scattering amplitudes”, JHEP 1107 (2011) 080.
L.F. Alday, B. Eden, G.P. Korchemsky, J. Maldacena and E. Sokatchev, “From correlation functions to Wilson loops”, JHEP 1109 (2011) 123.
L.F. Alday, D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, “An Operator Product Expansion for Polygonal null Wilson Loops”, JHEP 1104 (2011) 088.
L.F. Alday, D. Gaiotto and J. Maldacena, “Thermodynamic Bubble Ansatz”, JHEP 1109 (2011) 032.
L.F. Alday and Y. Tachikawa, “Affine SL(2) conformal blocks from 4d gauge theories”, Lett.Math.Phys. 94 (2010) 87-114.
L.F. Alday, J. Maldacena, A. Sever and P. Vieira, “Y-system for Scattering Amplitudes”, J.Phys.A A43 (2010) 485401.
L.F.Alday, F. Benini and Y. Tachikawa, “Liouville/Toda central charges from M5-branes”, Phys.Rev.Lett. 105 (2010) 141601
L.F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, “Loop and surface operators in N=2 gauge theory and Liouville modular geometry”, JHEP 1001 (2010) 113.
L.F. Alday, J.M. Henn, J. Plefka and T. Schuster, “Scattering into the fifth dimension of N=4 super Yang-Mills”, JHEP 1001 (2010) 077.
L.F. Alday, D. Gaiotto and Y. Tachikawa, “Liouville Correlation Functions from Four-dimensional * Gauge Theories”, Lett.Math.Phys. 91 (2010) 167-197.
L.F. Alday, “Universal structure of subleading infrared poles at strong coupling”, JHEP 0907 (2009) 047
L.F. Alday and J. Maldacena, “Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space”, JHEP 0911 (2009) 082.
L.F. Alday, G. Arutyunov and D. Bykov, “Semiclassical Quantization of Spinning Strings in AdS(4) x CP**3”, JHEP 0811 (2008) 089.
L.F. Alday and J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT”, JHEP 0711 (2007) 068.
L.F. Alday and J. Maldacena, “Comments on operators with large spin”, JHEP 0711 (2007) 019.
L.F. Alday and J. Maldacena, “Gluon scattering amplitudes at strong coupling”, JHEP 0706 (2007) 064.
L.F. Alday, G. Arutyunov, M.K. Benna, B. Eden and I.R. Klebanov, “On the Strong Coupling Scaling Dimension of High Spin Operators”, JHEP 0704 (2007) 082.
L.F. Alday, J. de Boer and I. Messamah, “The Gravitational description of coarse grained microstates”, JHEP 0612 (2006) 063.
L.F. Alday, G. Arutyunov and S. Frolov, “Green-Schwarz strings in TsT-transformed backgrounds”, JHEP 0606 (2006) 018.
L.F. Alday, J. de Boer and I. Messamah, “What is the dual of a dipole?”, Nucl.Phys. B746 (2006) 29-57.
L.F. Alday, J.R. David, E. Gava and K.S. Narain, “Towards a string bit formulation of N=4 super Yang-Mills”, JHEP 0604 (2006) 014.
L.F. Alday, G. Arutyunov and S. Frolov, “New integrable system of 2dim fermions from strings on AdS(5) x S**5”, JHEP 0601 (2006) 078.
L.F. Alday, G. Arutyunov and A.A. Tseytlin, “On integrability of classical superstrings in AdS(5) x S**5”, JHEP 0507 (2005) 002.
L.F. Alday, J.R. David, E. Gava and K.S. Narain, “Structure constants of planar N = 4 Yang Mills at one loop”, JHEP 0509 (2005) 070.
L.F. Alday, M. Cirafici, J. David, E. Gava and K.S. Narain, “Gravitational F terms through anomaly equations and deformed chiral rings”, JHEP 0401 (2004) 001.
L.F. Alday, “Nonlocal charges on AdS(5) x S**5 and PP waves”, JHEP 0312 (2003) 033.
L.F. Alday and M. Cirafici, “Gravitational F terms of SO / Sp gauge theories and anomalies.”,JHEP 0309 (2003) 031
L.F. Alday and M. Cirafici, “Effective superpotentials via Konishi anomaly”, JHEP 0305 (2003) 041.
L.F. Alday and M. Cirafici, “An Example of localized D-branes solution on PP wave backgrounds”, JHEP 0305 (2003) 006.
L.F. Alday and G. Aldazabal, “In quest of just the standard model on D-branes at a singularity” (2003)