[Jlab-seminars] Theory Center Seminar

[Mary Fox]

Theory Center Seminar
Mon., March 31, 2014
1:00 p.m. (coffee at 12:45 p.m.)
CEBAF Center, Room L102

Vladimir Kazakov
Laboratoire de Physique Théorique de l'Ecole Normale Supérieure
Paris, France

*Exact Spectrum of Anomalous Dimensions in Planar N=4 SYM Theory*

The planar N=4 Super-Yang-Mills theory appears to be integrable via its 
AdS/CFT duality to a  superstring sigma-model defined on a 
two-dimensional world sheet. This allows formulation of a finite system 
of functional, or Riemann-Hilbert equations, exact at any YM coupling, 
calculating the anomalous dimensions of,/a priori/, any local operators, 
which can be efficiently analyzed in various approximations: weak 
coupling (9 loops for the anomalous dimension of Konishi operator!), 
strong coupling and possibly BFKL, and solved numerically. The solution 
is based on a nice mathematical structure of quantum integrability: 
Hirota equations, their Wronskian solutions in terms of Baxter's 
Q-functions and a peculiar analytic structure of these functions w.r.t. 
the spectral parameter.

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