Generalized Geometry in AdS/CFT and Volume Minimization
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Mon, 29/11/2010 12:00 |
Maxime Gabella (Oxford) |
String Theory Seminar  |
L3 |
| Motivated by the study of general supersymmetric AdS_5 solutions of type IIB supergravity with fluxes, I will define a notion of "generalized Sasaki-Einstein geometry," characterized by a differential system for a triple of symplectic forms in 4d. I will then show that the minimization of the contact volume over a space of generalized Sasakian structures determines the Reeb vector field for such a solution. This is the geometric counterpart of a-maximization in superconformal field theory. This variational procedure will be put to good use by computing BPS quantities for a predicted infinite family of solutions dual to mass-deformed generalized conifolds. | |||