23–25 Jan 2019
Universitat de Barcelona
Europe/Madrid timezone

A Geometric Dual of C-Extremization

24 Jan 2019, 12:15
30m
Sala Eduard Fontserè, Facultat de Física i Química (Universitat de Barcelona)

Sala Eduard Fontserè, Facultat de Física i Química

Universitat de Barcelona

Carrer de Martí i Franquès, 1 08028, Barcelona, Spain

Speaker

Christopher Couzens

Description

We consider a class of supersymmetric AdS_3 x Y_7 solutions of Type IIB supergravity holographically dual to 2d (0,2) SCFTs. We show that the R-symmetry and central charge may be computed by extremizing a certain functional depending on only global topological data. In particular, assuming such a solution exists, we may calculate its central charge without knowledge of an explicit metric. We will interpret this as the geometric dual to c-extremization. Finally we will comment on some obstruction results which shed light on a previously noted issue in the literature.

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