Volume 133, Number 1, January 2021
|Number of page(s)||6|
|Published online||04 March 2021|
Long strings and symmetric product orbifold from the AdS3Bethe equations
Dipartimento di Fisica e Astronomia, Università degli Studi di Padova - via Marzolo 8, 35131 Padova, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Padova - via Marzolo 8, 35131 Padova, Italy
Received: 9 November 2020
Accepted: 3 December 2020
A particularly rich class of integrable systems arises from the AdS/CFT duality. There, the two-dimensional quantum field theory living on the string worldsheet may be understood in terms of a non-relativistic 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 AdS3/CFT2 without Ramond-Ramond fluxes, the worldhseet theory is a Wess-Zumino-Witten 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 the lowest level the Bethe equations yield the symmetric product orbifold partition function on the nose.
PACS: 02.30.Ik – Integrable systems / 11.25.Hf – Conformal field theory, algebraic structures / 11.30.Na – Nonlinear and dynamical symmetries (spectrum-generating symmetries)
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