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

Understand

The lambda deformation of the pure spinor formalism of the superstring in the $AdS_{5}\times S^{5}$ 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.