Infinite Family of Integrable Sigma Models Using Auxiliary Fields

Ferko, Christian; Smith, Liam

doi:10.1103/PhysRevLett.133.131602

Infinite Family of Integrable Sigma Models Using Auxiliary Fields

Journal Article · Thu Sep 26 00:00:00 EDT 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.133.131602· OSTI ID:2448128

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We introduce a class of 2D sigma models which are parametrized by a function of one variable. In addition to the physical field $g$ , these models include an auxiliary field $v_{α}$ which mediates interactions in a prescribed way. We prove that every theory in this family is classically integrable, in that it possesses an infinite set of conserved charges in involution, which can be constructed from a Lax representation for the equations of motion. This class includes the principal chiral model (PCM) and all deformations of the PCM by functions of the energy-momentum tensor.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009999

OSTI ID:: 2448128

Alternate ID(s):: OSTI ID: 2579746

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 133; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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