The low-energy limit of AdS3/CFT2 and its TBA

Diego Bombardelli (Department of Physics and INFN, University of Torino, Via P. Giuria 1, Torino, 10125, Italy) ; Bogdan Stefański (Centre for Mathematical Science, City, University of London, Northampton Square, London, EC1V 0HB, U.K.) ; Alessandro Torrielli (Department of Mathematics, University of Surrey, Guildford, GU2 7XH, U.K.)

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.

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      "surname": "Stefa\u0144ski", 
      "email": "Bogdan.Stefanski.1@city.ac.uk", 
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      "surname": "Torrielli", 
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      "source": "Springer", 
      "value": "We investigate low-energy string excitations in AdS3 \u00d7 S3 \u00d7 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\u2019 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 \u2014 with the vacuum energy being zero for periodic fermions in agreement with a supersymmetric theory \u2014 and find the energies of some excited states."
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Published on:
29 October 2018
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2018 (2018)
Issue 10
Pages 1-54
DOI:
https://doi.org/10.1007/JHEP10(2018)177
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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