Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-22
JHEP 1007:097,2010
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 6 figures; v2: minor corrections, added a brief discussion of the quantum case
Scientific paper
10.1007/JHEP07(2010)097
We solve the recently proposed T- and Y-systems (Hirota equation) for the exact spectrum of AdS/CFT in the strong coupling scaling limit for an arbitrary quasiclassical string state. The corresponding T-functions appear to be super-characters of the SU(2,2|4) group in unitary representations with a highest weight, with the classical AdS5xS5 superstring monodromy matrix as the group element. We propose a concise first Weyl-type formula for these characters and show that they correctly reproduce the results of quasiclassical one-loop quantization in all sectors of the superstring, under some natural assumptions. We also speculate about possible relation between the T-functions and the quantum monodromy matrix.
Gromov Nikolay
Kazakov Vladimir
Tsuboi Zengo
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