"Quantum spectral curve of N=4 SYM and its BFKL limit," by Vladimir Kazakov (Ecole Normale Superieure and University of Paris)

Tuesday, October 7, 2014 - 4:00pm to 5:00pm
TEP Seminars

TEP Seminar

Physics and Astronomy Building (PAB) Room 4-330
Tuesday, October 7, 2014

Guest Speaker: Vladimir Kazakov (Ecole Normale Superieure and University of Paris)

Talk Title: "Quantum spectral curve of N=4 SYM and its BFKL limit"


N=4 Super-Yang Mills in planar limit is the only exactly solvable theory in 4 space-time dimensions. This potentially gives a possibility to compute any physically interesting quantities, such as anomalous dimensions, correlators, Wilson loops, scattering amplitudes, at any strength of the 't Hooft coupling.   Solvability is possible  due to AdS/CFT duality and a hidden integrability property.   The most advanced tools  of computation, known as the AdS/CFT Y-system/TBA, are developed for the spectrum of anomalous dimensions. We present a new, the most concise and efficient Riemann-Hilbert system of spectral equations -- Qantum Spectral Curve (QSC).  After explaining the basic structure of QSC and its origins, we present some results of computations of anomalous dimensions: Konishi dimension at any coupling (numerically), its strong coupling expansion and weak coupling expansion (9-loops!), as well as  the Balitsky-Fadin-Kuraev-Lipatov limit of QSC reproducing the BFKL pomeron spectrum.