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

Abstract

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 κ-symmetry implies one-loop conformal invariance. We consider the addition of space-filling D-branes to the pure spinor formalism.

LaTeX2e, 56 pages, 1 figure, JHEP style; v2: references added, typos fixed in some equations; v3: typos fixed to match the published version

References in corpus (6)

• Non-local charges, Zm gradings and coset space actions
• Classical Open String Integrability
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• D-branes in non-critical superstrings and duality in N=1 gauge theories with flavor
• Non-Critical Pure Spinor Superstrings
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target

Cited by in corpus (4)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• On the Non-renormalization of the AdS Radius
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background