<p>We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in [<CitationRef CitationID="CR1">1</CitationRef>] and [<CitationRef CitationID="CR2">2</CitationRef>] to sigma models whose target manifolds are symmetric or semi-symmetric spaces, including a Wess-Zumino term in the latter case. This gives rise to a new infinite family of classically integrable ℤ<sub>2</sub> and ℤ<sub>4</sub> coset models of the form which are of interest in applications of integrability to worldsheet string theory and holography. We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection.</p>

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Auxiliary field deformations of (semi-)symmetric space sigma models

  • Daniele Bielli,
  • Christian Ferko,
  • Liam Smith,
  • Gabriele Tartaglino-Mazzucchelli

摘要

We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in [1] and [2] to sigma models whose target manifolds are symmetric or semi-symmetric spaces, including a Wess-Zumino term in the latter case. This gives rise to a new infinite family of classically integrable ℤ2 and ℤ4 coset models of the form which are of interest in applications of integrability to worldsheet string theory and holography. We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection.