A New Limit of the AdS_5 x S^5 Sigma Model

Abstract

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS_5 x S^5 background with manifest PSU(2,2|4) invariance. The PSU(2,2|4) metric g_{AB} has both vector components g_{ab} and spinor components g_{alpha beta}, and in the limit where the spinor components g_{alpha beta} are taken to infinity, the AdS_5 x S^5 sigma model reduces to the worldsheet action in a flat background. In this paper, we instead consider the limit where the vector components g_{ab} are taken to infinity. In this limit, the AdS_5 x S^5 sigma model simplifies to a topological A-model constructed from fermionic N=2 superfields whose bosonic components transform like twistor variables. Just as d=3 Chern-Simons theory can be described by the open string sector of a topological A-model, the open string sector of this topological A-model describes d=4 N=4 super-Yang-Mills. These results might be useful for constructing a worldsheet proof of the Maldacena conjecture analogous to the Gopakumar-Vafa-Ooguri worldsheet proof of Chern-Simons/conifold duality.

arXiv comment33 pages harvmac, added references and fixed typos

References in corpus (17)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Type IIB superstring action in AdS_5 x S^5 background
• Super-Poincare Covariant Quantization of the Superstring
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• Worldsheet Derivation of a Large N Duality
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Superbranes and Superembeddings
• Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• A Googly Amplitude from the B-model in Twistor Space
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Covariant Quantization of the Superparticle Using Pure Spinors
• The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
• One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background

Cited by in corpus (23)

• The Worldsheet Dual of the Symmetric Product CFT
• The Higher Spin/Vector Model Duality
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Towards a Worldsheet Derivation of the Maldacena Conjecture
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Superstrings in AdS
• Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules
• First-quantized N=4 Yang-Mills
• On gauge/string correspondence and mirror symmetry
• Twistor Coverings and Feynman Diagrams
• Aspects of Quantum Fermionic T-duality
• $Ad{S}_5\times S^5$ supergravity vertex operators
• A commutant realization of W^(2)_n at critical level
• From Matrices to Strings and Back
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Topological String on OSP(1|2)/U(1)
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• Algebra of Lax Connection for T-Dual Models