Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions

• Main Authors: Adam, Ido, Dekel, Amit, Mazzucato, Luca, Oz, Yaron
• Format: Journal Article
• Language: English
• Published: 11.02.2007
• Subjects: Physics - High Energy Physics - Theory
• DOI: 10.48550/arxiv.hep-th/0702083

JHEP 0706:085,2007 We consider type II superstrings on AdS backgrounds with Ramond-Ramond flux in various dimensions. We realize the backgrounds as supercosets and analyze explicitly two classes of models: non-critical superstrings on AdS_{2d} and critical superstrings on AdS_p\times S^p\times CY. We work both in the Green--Schwarz and in the pure spinor formalisms. We construct a one-parameter family of flat currents (a Lax connection) leading to an infinite number of conserved non-local charges, which imply the classical integrability of both sigma-models. In the pure spinor formulation, we use the BRST symmetry to prove the quantum integrability of the sigma-model. We discuss how classical \kappa-symmetry implies one-loop conformal invariance. We consider the addition of space-filling D-branes to the pure spinor formalism.