Towards a Worldsheet Derivation of the Maldacena Conjecture

TL;DR

This paper explores a new worldsheet approach to deriving the Maldacena conjecture by connecting a fermionic A-model with superstring theory on AdS_5xS^5 and gauge theory operators.

Contribution

It introduces a gauged linear sigma model formulation of the A-model and links it to superstring and gauge theory, aiming for a worldsheet derivation of the AdS/CFT correspondence.

Findings

A-model relates to pure spinor formalism

Zero radius limit interprets Coulomb branch as D-brane holes

Potential for a worldsheet derivation of the Maldacena conjecture

Abstract

A U(2,2|4)-invariant A-model constructed from fermionic superfields has recently been proposed as a sigma model for the superstring on AdS_5xS^5. After explaining the relation of this A-model with the pure spinor formalism, the A-model action is expressed as a gauged linear sigma model. In the zero radius limit, the Coulomb branch of this sigma model is interpreted as D-brane holes which are related to gauge-invariant N=4 d=4 super-Yang-Mills operators. As in the worldsheet derivation of open-closed duality for Chern-Simons theory, this construction may lead to a worldsheet derivation of the Maldacena conjecture. Intriguing connections to the twistorial formulation of N=4 Yang-Mills are also noted.