# The 4th Conference of the Polish Society on Relativity

Sep 24 – 28, 2017
Kazimierz Dolny, Poland
Europe/Warsaw timezone

## Supersymmetric Near-Horizon Geometries

Sep 27, 2017, 12:05 PM
20m
Kazimierz Dolny, Poland

#### Kazimierz Dolny, Poland

Dom Pracy Twórczej SDP ul. Małachowskiego 17 24-120 Kazimierz Dolny
Oral presentation (preferred)

### Speaker

Andrea Fontanella (University of Surrey)

### Description

The horizon conjecture, proved in a case by case basis, states that every supersymmetric smooth horizon admits an $sl(2, \mathbb{R})$ symmetry algebra. However it is unclear how string corrections modify the statement. In this talk I will present the analysis of supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory, and show the conditions for the horizon to admit an $sl(2, \mathbb{R})$ symmetry algebra. In the second part of the talk, I shall present a step further on answering the question how many extreme black holes posses a prescribed near-horizon geometry.

### Primary author

Andrea Fontanella (University of Surrey)

### Co-authors

Jan Gutowski (University of Surrey) George Papadopoulos (King's College London)