# Towards a Worldsheet Derivation of the Maldacena Conjecture

 Title: Towards a Worldsheet Derivation of the Maldacena Conjecture Author: Berkovits, Nathan; Vafa, C. Note: Order does not necessarily reflect citation order of authors. Citation: Berkovits, Nathan, and Cumrun Vafa. 2008. Towards a Worldsheet Derivation of the Maldacena Conjecture. Journal of High Energy Physics 2008(03): 031. Full Text & Related Files: 0711.1799v2.pdf (260.4Kb; PDF) 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. Published Version: doi:10.1088/1126-6708/2008/03/031 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8152135

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Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University