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- Title
The low-energy limit of AdS<sub>3</sub>/CFT<sub>2</sub> and its TBA.
- Authors
Bombardelli, Diego; Stefański, Bogdan; Torrielli, Alessandro
- Abstract
We investigate low-energy string excitations in AdS3 × S3 × T4. 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 CFT2. We construct a Thermodynamic Bethe Ansatz (TBA) for these excitations and show how the massless modes’ wrapping effects may be incorporated into the AdS3 spectral problem. Using the TBA and its associated Y-system, we determine the central charge of the low-energy CFT2 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.
- Subjects
CONFORMAL field theory; STRING theory; MATRICES (Mathematics); CHIRALITY of nuclear particles; VACUUM energy (Astronomy)
- Publication
Journal of High Energy Physics, 2018, Vol 2018, Issue 10, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP10(2018)177