Massless Lüscher terms and the limitations of the AdS3 asymptotic Bethe ansatz
Massless Lüscher terms and the limitations of the AdS3 asymptotic Bethe ansatz
In AdS5/CFT4 integrability the Bethe ansatz gives the spectrum of long strings, accurate up to exponentially small corrections. This is no longer true in AdS3, as we demonstrate here by studying Luscher F-terms with a massless particle running in the loop. We apply this to the classic test of Hernandez & Lopez, in which the su(2) sector Bethe equations (including one-loop dressing phase) should match the semiclassical string theory result for a circular spinning string. These calculations did not agree in AdS3xS3xT4, and we show that the sum of all massless Luscher F-terms can reproduce the difference.
hep-th
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
25 May 2016
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Abbott, Michael C. and Aniceto, Inês
(2016)
Massless Lüscher terms and the limitations of the AdS3 asymptotic Bethe ansatz.
Physical Review D, 93 (10), [106006].
(doi:10.1103/PhysRevD.93.106006).
Abstract
In AdS5/CFT4 integrability the Bethe ansatz gives the spectrum of long strings, accurate up to exponentially small corrections. This is no longer true in AdS3, as we demonstrate here by studying Luscher F-terms with a massless particle running in the loop. We apply this to the classic test of Hernandez & Lopez, in which the su(2) sector Bethe equations (including one-loop dressing phase) should match the semiclassical string theory result for a circular spinning string. These calculations did not agree in AdS3xS3xT4, and we show that the sum of all massless Luscher F-terms can reproduce the difference.
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Accepted/In Press date: 29 December 2015
Published date: 25 May 2016
Keywords:
hep-th
Identifiers
Local EPrints ID: 424149
URI: http://eprints.soton.ac.uk/id/eprint/424149
ISSN: 1550-7998
PURE UUID: 82508a58-baa9-478f-9b22-cb4957a9b25f
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Date deposited: 05 Oct 2018 11:30
Last modified: 16 Mar 2024 04:39
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Author:
Michael C. Abbott
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