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

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