Integrable higher-spin deformations of sigma models from auxiliary fields

Authors:
Top Cited Papers
Open Access
Publisher website
Google Scholar
Abstract
We construct a new infinite family of integrable deformations of the principal chiral model (PCM) parametrized by an interaction function of several variables, which extends the formalism of [C. Ferko and L. Smith, An infinite family of integrable sigma models using auxiliary fields, .] and includes deformations of the PCM by functions of both the stress tensor and higher-spin conserved currents. We show in detail that every model in this class admits a Lax representation for its equations of motion, and that the Poisson bracket of the Lax connection takes the Maillet form, establishing the existence of an infinite set of Poisson-commuting conserved charges. We argue that the non-Abelian T-dual of any model in this family is classically integrable, and that T-duality “commutes” with a general deformation in this class, in a sense which we make precise. Finally, we demonstrate that these higher-spin auxiliary field deformations can be extended to accommodate the addition of a Wess-Zumino term, and we exhibit the Lax connection in this case.
Funding Information
  • U.S. Department of Energy (DE-SC0009999)
  • University of California
  • University of Queensland
  • Australian Research Council (FT180100353, DP240101409)
  • Kavli Institute for Theoretical Physics, University of California, Santa Barbara (NSF PHY-2309135)
  • NSRF (B13F670063)

This publication has 209 references indexed in Scilit: