Yang-Baxter Deformations of the $AdS_{5}\times S^{5}$ Pure Spinor Superstring

TL;DR

This paper introduces an integrable deformation of the $AdS_{5}\times S^{5}$ pure spinor superstring, expanding the understanding of superstring dynamics in generalized supergravity backgrounds using homological perturbation theory.

Contribution

It develops a novel integrable deformation of the pure spinor superstring action on $AdS_{5}\times S^{5}$, incorporating homological perturbation theory and analyzing its symmetry and equations.

Findings

Derived a deformed superstring model with integrability properties.

Established the model's equations of motion, Lax connection, and BRST symmetry.

Described the superstring in a generalized supergravity background.

Abstract

We present an integrable deformation of the $AdS_{5}\times S^{5}$ pure spinor action based on homological perturbation theory. Its equations of motion, Lax connection and BRST symmetry are discussed. The resulting model describes a pure spinor superstring in a generalized supergravity background.