Solving formally the auxiliary system of O(N) nonlinear sigma model

Author(s)

Katsinis, Dimitrios

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 105, n. 10, p. 6-pg., 2022-05-06.

Abstract

We show that the integrability of the SO(N)/SO(N - 1) principal chiral model (PCM) originates from the Pohlmeyer reduction of the O(N) nonlinear sigma model (NLSM). In particular, we show that the Lax pair of the PCM is related upon redefinitions and identification of parameters to the zero curvature condition, which is a consequence of the flatness of the enhanced space used in the Pohlmeyer reduction. This identification provides the solution of the auxiliary system that corresponds to an arbitrary NLSM/PCM solution. (AU)

• FAPESP's process: 21/01819-0 - Yang-Baxter deformations of superstring sigma models
• Grantee: Dimitrios Katsinis
• Support Opportunities: Scholarships in Brazil - Post-Doctoral