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

Bombardelli, Diego, Stefanski, jr, Bogdan and Torrielli, Alessandro (2018) The low-energy limit of AdS3/CFT2 and its TBA Journal of High Energy Physics.

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Abstract

We investigate low-energy string excitations in AdS3 × 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 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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Bombardelli, Diego
Stefanski, jr, Bogdan
Torrielli, Alessandroa.torrielli@surrey.ac.uk
Date : 29 October 2018
DOI : 10.1007/JHEP10(2018)177
Copyright Disclaimer : Copyright 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Depositing User : Melanie Hughes
Date Deposited : 10 Oct 2018 09:55
Last Modified : 06 Nov 2018 08:29
URI: http://epubs.surrey.ac.uk/id/eprint/849630

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