20–22 Dec 2023
Padova, Scuola della Carità
Europe/Rome timezone

Matrix models from black hole geometries

Not scheduled
20m
Padova, Scuola della Carità

Padova, Scuola della Carità

Via San Francesco 61-63, 35121 Padova

Speaker

Alice Luscher (University of Oxford)

Description

Supersymmetric and magnetically charged black holes in AdS4 are known to be holographically dual to 3d SCFTs compactified on a Riemann surface.
In the last decade, many observables have been computed on both sides and a remarkable matching has been achieved.
In field theory, the partition function is computed via localization, and it reduces to a matrix model whose eigenvalues, at large N, become continuously distributed according to a function called eigenvalue density.
In this work we provide a gravitational interpretation of this eigenvalue density from the near-horizon geometry of the black holes, and illustrate it on various examples.

Primary authors

Alice Luscher (University of Oxford) Andrea Boido (University of Oxford) Prof. James Sparks (University of Oxford)

Presentation materials

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