Towards a Worldsheet Derivation of the Maldacena Conjecture
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Date
2008
Author(s)
Berkovits, Nathan
Publisher
Springer Verlag
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Citation
Berkovits, Nathan, and Cumrun Vafa. 2008. Towards a Worldsheet Derivation of the Maldacena Conjecture. Journal of High Energy Physics 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 \(AdS_5 \times S^5\). 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 \(\mathcal{N}=4\) 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 \(\mathcal{N}=4\) Yang-Mills are also noted.
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