Long Strings and Symmetric Product Orbifold from the AdS$_3$ Bethe Equations
Abstract
A particularly rich class of integrable systems arises from the AdS/CFT duality. There, the twodimensional quantum field theory living on the string worldsheet may be understood in terms of a nonrelativistic factorized S matrix, and the energy spectrum may be derived by techniques such as the mirror thermodynamic Bethe ansatz or the quantum spectral curve. In the case of AdS$_3$/CFT$_2$ without RamondRamond fluxes, the worldhseet theory is a WessZuminoWitten model with continous and discrete representations which, for the lowest allowed level, is dual to the symmetric product orbifold of a free theory. I will show how continuous representations may arise from integrability, and that at lowest level the Bethe equations yield the symmetric product orbifold partition function on the nose.
 Publication:

arXiv eprints
 Pub Date:
 October 2020
 DOI:
 10.48550/arXiv.2010.02782
 arXiv:
 arXiv:2010.02782
 Bibcode:
 2020arXiv201002782S
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 6 pages