Towards a Worldsheet Derivation of the Maldacena Conjecture

Understand

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.