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Norms and scalar products for AdS3

Garcia, Juan Miguel Nieto and Torrielli, Alessandro (2020) Norms and scalar products for AdS3 Journal of Physics A: Mathematical and Theoretical, 53 (14), 145401.

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Nieto+Garcia+et+al_2020_J._Phys._A__Math._Theor._10.1088_1751-8121_ab6b94.pdf - Accepted version Manuscript
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Abstract

We compute scalar products and norms of Bethe vectors in the massless sector of AdS3 integrable superstring theories, by exploiting the general difference form of the S-matrix of massless excitations in the pure Ramond-Ramond case, and the difference form valid only in the BMN limit in the mixedflux case. We obtain determinant-like formulas for the scalar products, generalising a procedure developed in previous literature for standard R-matrices to the present non-conventional situation. We verify our expressions against explicit calculations using Bethe vectors for chains of small length, and perform some computer tests of the exact formulas as far as numerical accuracy sustains us. This should be the first step towards the derivation of integrable form-factors and correlation functions for the AdS3 S-matrix theory.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Garcia, Juan Miguel Nieto
Torrielli, Alessandroa.torrielli@surrey.ac.uk
Date : 9 March 2020
DOI : 10.1088/1751-8121/ab6b94
Copyright Disclaimer : © 2019 IOP Publishing Ltd
Depositing User : James Marshall
Date Deposited : 03 Feb 2020 09:35
Last Modified : 12 May 2020 13:58
URI: http://epubs.surrey.ac.uk/id/eprint/853546

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