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The low-energy limit of AdS3/CFT2 and its TBA
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Journal Article
The low-energy limit of AdS3/CFT2 and its TBA
2018
Overview
A
bstract
We investigate low-energy string excitations in AdS
3
× S
3
× T
4
. When the worldsheet is decompactified, the theory has gapless modes whose spectrum at low energies is determined by massless relativistic integrable S matrices of the type introduced by Al. B. Zamolodchikov. The S matrices are non-trivial only for excitations with identical worldsheet chirality, indicating that the low-energy theory is a CFT
2
. We construct a Thermodynamic Bethe Ansatz (TBA) for these excitations and show how the massless modes’ wrapping effects may be incorporated into the AdS
3
spectral problem. Using the TBA and its associated Y-system, we determine the central charge of the low-energy CFT
2
to be
c
= 6 from calculating the vacuum energy for antiperiodic fermions — with the vacuum energy being zero for periodic fermions in agreement with a supersymmetric theory — and find the energies of some excited states.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
