On AdS2/CFT1 transfer matrices, Bethe ansatz and scale invariance
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Torrielli, Alessandro (2017) On AdS2/CFT1 transfer matrices, Bethe ansatz and scale invariance Journal of Physics A: Mathematical and Theoretical, 51 (1), 015402.
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On AdS2 CFT1 transfer matrices, Bethe ansatz and scale invariance.pdf - Accepted version Manuscript Download (503kB) | Preview |
Official URL: https://doi.org/10.1088/1751-8121/aa9732
Abstract
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 | ||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | ||||||
| Authors : |
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| 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 | ||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/844806 |
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