Abstract
The lambda deformation of the pure spinor formalism of the superstring in the AdS5 × S5 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.
Highlights
Which solves the modified classical Yang-Baxter equation mCYBE
In section (2), we introduce the action functional of the lambda deformed AdS5 × S5 pure spinor superstring and consider the equations of motion, the classical integrability and the BRST symmetry of the theory
We have shown how to lambda deform the pure spinor formalism of the superstring in the AdS5×S5 background in a consistent way
Summary
We recall the lambda deformed action of the PS superstring in the AdS5 ×S5 background originally constructed in [26]. It is shown that the deformation preserves the integrability of its parent theory, a discussion not covered previously in [26]. The main characteristic of the deformed theory integrable structure is that its associated Lax connection depends explicitly on the deformation parameter λ, a feature not observed before in any of the known lambda models. BRST symmetry is briefly considered as well from the symplectic theory point of view
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