Construction of Lax Connections by Exponentiation

Abstract

We propose a method for constructing the Lax connection of two-dimensional relativistic integrable sigma models on coset spaces by means of exponentiation of a suitable operator. We derive a simple quadratic relation that this operator must satisfy for an entire one-parameter family of connections to be flat.

arXiv comment17 pages

References in corpus (8)

• Review of AdS/CFT Integrability: An Overview
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Hybrid classical integrability in squashed sigma models
• Non-local charges, Zm gradings and coset space actions
• Integrability and Canonical Structure of d=2, N=16 Supergravity
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing

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• Nonlocal Symmetries, Spectral Parameter and Minimal Surfaces in AdS/CFT
• Master Symmetry for Holographic Wilson Loops
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string