Jordanian deformations of the AdS 5 × S 5 superstring

One Loop Conformal Invariance of the Superstring in an AdS 5 × S 5 Background

It is proven that the pure spinor superstring in an AdS 5 × S 5 background remains conformally invariant at one loop level in the sigma model perturbation theory.

Bihamiltonian structure of the classical superstring in AdS 5 × S 5

We discuss the bihamiltonian structure of the Metsaev-Tseytlin superstring in AdS5 ×S 5. We explicitly write down the boost-invariant symplectic structure for the superstring in AdS5 × S 5 and explain its relation to the standard (canonical) symplectic structure. We discuss the geometrical meaning of the boost-invariant symplectic structure for the bosonic string.

A Jordanian deformation of AdS space in type IIB supergravity

We consider a Jordanian deformation of the AdS5×S superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only the AdS part is deformed and the resulting geometry contains the 3D Schrödinger spacetime as a subspace. Then we present the full solution in type IIB supergravit...

Superstring Vertex Operators in an AdS 5 × S 5 Background

Quantum Consistency of the Superstring in AdS 5 × S 5 Background

Using arguments based on BRST cohomology, the pure spinor formalism for the su-perstring in an AdS 5 × S 5 background is proven to be BRST invariant and conformally invariant at the quantum level to all orders in perturbation theory. Cohomology arguments are also used to prove the existence of an infinite set of non-local BRST-invariant charges at the quantum level.