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arXiv · 1002.3981

PSU(2,2|4) Character of Quasiclassical AdS/CFT

Nikolay Gromov·Vladimir Kazakov·Zengo Tsuboi
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Abstract

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.

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Nikolay Gromov, Vladimir Kazakov, Zengo Tsuboi. 2010-06-20. PSU(2,2|4) Character of Quasiclassical AdS/CFT. https://doi.org/10.1007/jhep07(2010)097

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