Classical AdS Superstring Mechanics

Abstract

We analyze the anti-de Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We examine their kappa-transformations, infinite reducibility and kappa-gauge fixing conditions. A closed first class constraint set for the AdS superparticle is GL(4|4) covariant and keeping superconformal symmetry manifestly. For the AdS superstring $\sigma$-dependence breaks the GL(4|4) covariance, where supercovariant derivatives and currents satisfy the inhomogeneous GL(4|4). A closed first class constraint set for the AdS superstring turns out to be the same as the one for a superstring in flat space, namely ABCD constraints.

16 pageg, Latex

References in corpus (3)

• Light-cone Superstring in AdS Space-time
• Superstrings on AdS_5 x S^5 supertwistor space
• On manifest SU(4) invariant superstring action in AdS(5) x S(5)

Cited by in corpus (24)

• Introduction to AdS-CFT
• Superspace with manifest T-duality from type II superstring
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• Canonical approach to Courant brackets for D-branes
• Natural curvature for manifest T-duality
• T-duality off shell in 3D Type II superspace
• Wess-Zumino term for AdS superstring
• AdS/CFT in superspace
• Classical Integrability and Super Yangian of Superstring on AdS_5 x S^5
• A new holographic limit of AdS5 x S5
• Type II chiral affine Lie algebras and string actions in doubled space
• First-quantized N=4 Yang-Mills
• Wess-Zumino terms for AdS D-branes
• Sugawara form for AdS superstring
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background
• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• Pre-potential in the $Ad{S}_5\times S^5$ Type IIB superspace
• AdS and pp-wave D-particle superalgebras
• Spacecone quantization of AdS superparticle
• Consistent bilinear Wess-Zumino term for open AdS superstring
• Super Yangian of superstring on AdS5xS5 revisited
• Manifestly T-dual formulation of AdS space
• Kappa symmetric OSp(2|2) WZNW model