$\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring

Abstract

The lambda deformation of the pure spinor formalism of the superstring in the $Ad{S}_5\times S^5$ background is introduced. It is shown that the deformation preserves the integrability as well as the one-loop conformal invariance of its parent theory. It is also shown that the effective action takes the standard form of the Berkovits-Howe action functional, allowing to calculate the deformed background supergeometry in a straightforward way. The background fields coincide with those of the lambda model of the Green-Schwarz formalism, hence satisfying the same set of supergravity equations of motion.

arXiv commentPublished version, 28 pages

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