Towards a Worldsheet Derivation of the Maldacena Conjecture

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages harvmac, fixed typos and changed SU(2,2|4) to PU(2,2|4)

Scientific paper

10.1088/1126-6708/2008/03/031 10

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.

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