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Protected string spectrum in AdS(3)/CFT2 from worldsheet integrability

Baggio, M., Sax, O. O., Sfondrini, A. , Stefanski, B. & Torrielli, A. (2017). Protected string spectrum in AdS(3)/CFT2 from worldsheet integrability. Journal of High Energy Physics(4), 91. doi: 10.1007/JHEP04(2017)091

Abstract

We derive the protected closed-string spectra of AdS3/CFT2 dual pairs with 16 supercharges at arbitrary values of the string tension and of the three-form fluxes. These follow immediately from the all-loop Bethe equations for the spectra of the integrable worldsheet theories. Further, representing the underlying integrable systems as spin chains, we find that their dynamics involves length-changing interactions and that protected states correspond to gapless excitations above the Berenstein-Maldacena-Nastase vacuum. In the case of AdS3 × S3 × T4 the degeneracies of such operators precisely match those of the dual CFT2 and the supergravity spectrum. On the other hand, we find that for AdS3 × S3 × S3 × S1 there are fewer protected states than previous supergravity calculations had suggested. In particular, protected states have the same su(2) charge with respect to the two three-spheres.

Publication Type: Article
Additional Information: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Publisher Keywords: AdS-CFT Correspondence, Bethe Ansatz, Conformal Field Theory
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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