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

Quantum Consistency of the Superstring in AdS 5 × S 5

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.

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.

BRST Cohomology and Nonlocal Conserved Charges

A relation is found between nonlocal conserved charges in string theory and certain ghost-number two states in the BRST cohomology. This provides a simple proof that the nonlocal conserved charges for the superstring in an AdS 5 × S 5 background are BRST-invariant in the pure spinor formalism and are κ-symmetric in the Green-Schwarz formalism. 1. Introduction Maldacena's conjecture that d = 4 N...

Superstring Vertex Operators in an AdS 5 × S 5 Background

Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background

A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with Ramond-Ramond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory. It has recently been recognized that the Penrose limit of the AdS 5 × S 5 background with Ramond-Ramond (R-R) flux is a supersymmetric pla...