Liouville Correlation Functions from Four-Dimensional Gauge Theories by Alday, L, Gaiotto, D, Tachikawa, Y

Scattering amplitudes, Wilson loops and the string/gauge theory correspondence by Alday, L, Roiban, R

Gravitational F-terms of SO/Sp gauge theories and anomalies by Alday, L, Cirafici, M

Scattering amplitudes, Wilson loops and the string/gauge theory correspondence by Alday, L, Roiban, R

Gravitational F-terms of SO/Sp gauge theories and anomalies by Alday, L, Cirafici, M

“…We study the first non trivial gravitational corrections to the F-terms of N = 1 SYM SO/Sp gauge theories, with matter in some representations, by using the generalized Konishi anomaly method. …”

Affine SL(2) Conformal Blocks from 4d Gauge Theories by Alday, L, Tachikawa, Y

“…Focusing in the case of SU(2) quiver gauge theories, we find that the results agree with a modified version of the conformal blocks of affine SL(2) algebra. …”

Loop and surface operators in N = 2 gauge theory and Liouville modular geometry by Alday, L, Gaiotto, D, Gukov, S, Tachikawa, Y, Verlinde, H

“…Recently, a duality between Liouville theory and four dimensional N = 2 gauge theory has been uncovered by some of the authors. …”

Loop and surface operators in N=2 gauge theory and Liouville modular geometry by Alday, L, Gaiotto, D, Gukov, S, Tachikawaa, Y, Verlinde, H

Gravitational F-terms through Konishi anomaly by Alday, L

“…We review in a pedagogical way the computation of gravitational corrections to the effective superpotential of N = 1 supersymmetric gauge theories coupled to supergravity, by using the method of the generalized Konishi anomaly. …”

Effective superpotentials via Konishi anomaly by Alday, L, Cirafici, M

“…We use Ward identities derived from the generalized Konishi anomaly in order to compute effective superpotentials for SU(N), SO (N) and Sp(N) supersymmetric gauge theories coupled to matter in various representations. …”

Universal structure of subleading infrared poles at strong coupling by Alday, L

“…Recently a concise expression for the subleading infrared singularity of dimensional-regularized gauge theories has been proposed. For conformal theories, such relation involves a universal eikonal contribution plus a non-eikonal contribution, related to the subleading term in the anomalous dimension of twist two operators with large spin. …”

An operator product expansion for polygonal null Wilson loops by Alday, L, Gaiotto, D, Maldacena, J, Sever, A, Vieira, P

“…We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. …”

Solving CFTs with weakly broken higher spin symmetry by Alday, L

“…Examples of this are weakly coupled gauge theories and our method gives an on-shell gauge invariant way to study them. …”

Gravitational F-terms through anomaly equations and deformed chiral rings by Alday, L, Cirafici, M, David, JR, Gava, E, Narain, K

“…We then derive generalized anomaly equations for connected correlators on the gauge theory side, which allow us to solve for the basic one-point function 〈TrW2/(z - φ)) to all orders in F2. …”

Integrability and the AdS/CFT correspondence by Alday, L

“…The best known example of duality between a string and a gauge theory is that between strings on AdS 5 × S 5 and N = 4  SYM. …”

On the strong coupling scaling dimension of high spin operators by Alday, L, Arutyunov, G, Arutyunov, G, Eden, B, Benna, M, Klebanov, I

“…We give an exact analytic solution of the strong coupling limit of the integral equation which was recently proposed to describe the universal scaling function of high spin operators in ≤ 4 gauge theory. The solution agrees with the prediction from string theory, confirms the earlier numerical analysis and provides a basis for developing a systematic perturbation theory around strong coupling. © SISSA 2007.…”

Comments on operators with large spin by Alday, L, Maldacena, J

“…We show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on AdS 3 × S 1. We then focus on operators in = 4 super Yang Mills which carry large spin and SO(6) charge and show that in a particular limit their properties are described in terms of a bosonic O(6) sigma model. …”

Scattering into the fifth dimension of N = 4 super Yang-Mills by Alday, L, Henn, J, Plefka, J, Schuster, T

“…We confirm this expectation by an explicit calculation in the gauge theory. A consequence of this exact dual conformal symmetry is a significantly reduced set of scalar basis integrals that are allowed to appear in an amplitude. …”

Correlation function of null polygonal Wilson loops with local operators by Alday, L, Buchbinder, E, Tseytlin, A

“…We compute F(ζ, λ) at leading order in both the strong coupling regime (using semiclassical AdS 5 × S 5 string theory) and the weak coupling regime (using perturbative gauge theory). Some results are also obtained for polygonal Wilson loops with more than four edges. …”

New integrable system of 2dim fermions from strings on AdS 5 × S 5 by Alday, L, Arutyunov, G, Frolov, S

“…We identify the string states dual to the gauge theory operators from the closed su(1|1) sector of N ≤ 4 SYM and show that the corresponding near-plane wave energy shift computed from our hamiltonian perfectly agrees with that recently found in the literature. …”