Vacuum configurations of string theory in the presence of fluxes

Vacuum configurations of string theory in the presence of fluxes

This thesis revolves around investigating some aspects of both supersymmetric and non- supersymmetric flux vacua of type II string theory. After providing the relevant definition of a vacuum in this setting, the framework of Generalized Complex Geometry is exposed: we review in particular the differential conditions for vacua in the presence of fluxes in this language, and we discuss their relation to integrability of the associated structures. We then survey a natural extension able to include the whole flux content into a geomet- rical picture, known as Exceptional Generalized Geometry. Fluxes are recovered in this context as a twisting of the Levi-Civita operator, from which a set of differential equations for the relevant algebraic structures is derived. These are carefully compared with the known supersymmetric constraints that a vacuum should satisfy in both cases of N = 1, 2 supersymmetries. Motivated by the application of the AdS/CFT correspondence with a reduced amount of supercharges, we obtain an effective five-dimensional supersymmetric theory, and we demonstrate in particular how a specific ansatz largely used in the string theory literature can be naturally embedded in it. We then investigate the supergravity dual to a metastable supersymmetry-breaking state by considering the most general first- order deformations of a supersymmetric solution, in order to single out the backreaction of anti-D2 branes. We conclude that unavoidable infrared singularities arise in view of the presence of anti-D2 branes perturbing the underlying supersymmetric background.

IPhT

The event is finished.

Date

2 February 2012
Expired!

Time

15h00 – 0h00

Location

Amphi Claude Bloch, Bât. 774
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