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Phys Rev Lett. 2020 May 22;124(20):200601. doi: 10.1103/PhysRevLett.124.200601.

Flow Equations for Generalized TT[over ¯] Deformations.

Physical review letters

Guzmán Hernández-Chifflet, Stefano Negro, Alessandro Sfondrini

Affiliations

  1. Instituto de Física, Facultad de Ingeniería, Universidad de la República, Montevideo 11300, Uruguay.
  2. C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794, USA.
  3. Institut für theoretische Physik, ETH Zürich, Wolfgang-Pauli-Straße 27, 8093 Zürich, Switzerland.
  4. Dipartimento di Fisica e Astronomia "Galileo Galilei," Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy.
  5. Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy.

PMID: 32501083 DOI: 10.1103/PhysRevLett.124.200601

Abstract

We consider the most general set of integrable deformations extending the TT[over ¯] deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorized S matrix related to the higher-spin conserved charges. Using a mirror version of the generalized Gibbs ensemble, we write down the finite-volume expectation value of the higher-spin charges, and derive a generalized flow equation that every charge must obey under a generalized TT[over ¯] deformation. This also reproduces the known flow equations on the nose.

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