Looking for R-symmetries using generalised geometry

Looking for R-symmetries using generalised geometry

The AdS/CFT correspondence, first proposed by J. Maldacena in 1997, predicts an equivalence between conformal field theories and certain gravitational theories on Anti-de-Sitter backgrounds when the degree of the CFT’s gauge group is large. This correspondence allows us to study CFT’s from a geometric perspective by going to the “dual” gravity theory. (I used the word dual in its loose sense) That is to say, quantities characterising a CFT, sometimes inaccessible in the field theory language, can be computed in the geometry. All N=1 SCFT’s have a U(1) R-symmetry which is an important property of the theory. Indeed, the operators of the theory fall into irreducible representations of this symmetry group and their R-charges are related to the a and c central charges by a ’t Hooft anomaly. a-maximisation, developed by Intriligator and Wecht, is a procedure by which the R-symmetry can be extracted from the global symmetry group of a 4D SCFT dual to an AdS5 background. The geometric analogue of this computation was first addressed by Martelli, Sparks and Yau in the case of Sasaki-Einstein geometries in type IIB string theory. In this talk, I will introduce relevant concepts in generalised geometry for constructing such backgrounds. I will then show how Martelli, Sparks and Yau’s proposal fits into a larger story of extremising the appropriate invariant of the generalised structure group. It can therefore be applied to more general backgrounds in various dimensions.

The event is finished.

Date

18 June 2024
Expired!

Time

14h15 – 14h15

Location

Salle Claude Itzykson, Bât. 774
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