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The AdS/CFT correspondence and generalized geometry

Abstract:

The most general AdS$_5 imes Y$ solutions of type IIB string theory that are AdS/CFT dual to superconformal field theories in four dimensions can be fruitfully described in the language of generalized geometry, a powerful hybrid of complex and symplectic geometry. We show that the cone over the compact five-manifold $Y$ is generalized Calabi-Yau and carries a generalized holomorphic Killing vector field $xi$, dual to the R-symmetry. Remarkably, this cone always admits a symplectic structure,...

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Institution:
University of Oxford
Oxford college:
Lincoln College
Department:
Mathematical,Physical & Life Sciences Division - Physics - Theoretical Physics

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Role:
Supervisor
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:6fd2037e-d0ec-4806-b4db-631eb3693071
Local pid:
ora:6422

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