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On AdS2/CFT1 transfer matrices, Bethe ansatz and scale invariance

Torrielli, Alessandro (2017) On AdS2/CFT1 transfer matrices, Bethe ansatz and scale invariance Journal of Physics A: Mathematical and Theoretical, 51 (1), 015402.

On AdS2 CFT1 transfer matrices, Bethe ansatz and scale invariance.pdf - Accepted version Manuscript

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We explicitly calculate the AdS2×S2×T6 transfer-matrix eigenvalues in the massless sector using the exact integrable S-matrix, for up to 5 particles. This enables us to conjecture the general pattern. We use the conjectured form of the eigenvalues to write down a set of massless Bethe ansatz equations. The same procedure applies to the relativistic as well as to the non-relativistic situation. In the relativistic case, the right and left modes decouple. We speculate that the relativistic massless Bethe ansatz we obtain in that case might capture the integrable structure of an underlying 2D critical theory. We finally take advantage of some remarkable simplifications to make progress in the massive case as well.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Date : 6 December 2017
DOI : 10.1088/1751-8121/aa9732
Copyright Disclaimer : © 2017 IOP Publishing Ltd
Uncontrolled Keywords : Integrable systems; Bethe ansatz; AdS/CFT correspondence
Depositing User : Clive Harris
Date Deposited : 02 Nov 2017 16:29
Last Modified : 07 Dec 2018 02:08

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