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Protected states in AdS3 backgrounds from integrability

Majumder, S., Sax, O. O., Bogdan, S. and Torrielli, A. (2021). Protected states in AdS3 backgrounds from integrability. Journal of Physics A: Mathematical and Theoretical, 54(41), 415401. doi: 10.1088/1751-8121/ac21e5

Abstract

We write down the algebraic Bethe ansatz for string theory on AdS3 × S3 × T4 and AdS3 × S3 × K3 in its orbifold limits. We use it to determine the wave-functions of protected closed strings in these backgrounds and prove that their energies are protected to all orders in α'. We further apply the ABA to find the wave functions of protected states of AdS3 × S3 × S3 × S1 and its Z2 orbifold. Our findings match with protected spectrum calculations from supergravity, SymN orbifolds and apply to the complete moduli space of these theories, excluding orbifold blow-up modes for which further analysis is necessary.

Publication Type: Article
Additional Information: This article has been published in its final form in Journal of Physics A: Mathematical and Theoretical by IOP Publishing, doi: https://doi.org/10.1088/1751-8121/ac21e5.
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date available in CRO: 04 Nov 2021 09:43
Date deposited: 4 November 2021
Date of acceptance: 27 August 2021
Date of first online publication: 15 September 2021
URI: https://openaccess.city.ac.uk/id/eprint/26962
[img] Text - Accepted Version
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