Supersymmetric Field Theories on AdS_p x S^q

Abstract

In this paper we study supersymmetric field theories on an AdS_p x S^q space-time that preserves their full supersymmetry. This is an interesting example of supersymmetry on a non-compact curved space. The supersymmetry algebra on such a space is a (p-1)-dimensional superconformal algebra, and we classify all possible algebras that can arise for p >= 3. In some AdS_3 cases more than one superconformal algebra can arise from the same field theory. We discuss in detail the special case of four dimensional field theories with N=1 and N=2 supersymmetry on AdS_3 x S^1.

45 pages, latex

References in corpus (6)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Conformal field theories in anti-de Sitter space
• Three-dimensional (p,q) AdS superspaces and matter couplings
• Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
• Rigid Holography and Six-Dimensional N=(2,0) Theories on AdS_5 times S^1

Cited by in corpus (7)

• A Study of Quantum Field Theories in AdS at Finite Coupling
• Monodromy Defects from Hyperbolic Space
• Fermions in AdS and Gross-Neveu BCFT
• Higher spin supercurrents in anti-de Sitter space
• Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
• Supersymmetric localization of refined chiral multiplets on topologically twisted $H^2\times S^1$
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space