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arXiv · 0711.1799

Towards a Worldsheet Derivation of the Maldacena Conjecture

Nathan Berkovits·Cumrun Vafa
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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.

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Nathan Berkovits, Cumrun Vafa. 2008-01-16. Towards a Worldsheet Derivation of the Maldacena Conjecture. https://doi.org/10.1088/1126-6708%2F2008%2F03%2F031%2010.1063%2F1.2972008

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