Towards a worldsheet derivation of the Maldacena conjecture

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Published 11 March 2008 Published under licence by IOP Publishing Ltd
, , Citation Nathan Berkovits and Cumrun Vafa JHEP03(2008)031 DOI 10.1088/1126-6708/2008/03/031

1126-6708/2008/03/031

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 AdS5 × S5. 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 Script 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 Script N = 4 Yang-Mills are also noted.

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10.1088/1126-6708/2008/03/031