IIB black hole horizons with five-form flux and extended supersymmetry

TL;DR

This paper classifies certain IIB black hole horizons with five-form flux that preserve extended supersymmetry, identifying their geometric structures and near horizon geometries.

Contribution

It provides a classification of IIB black hole horizons with high supersymmetry, detailing their geometric configurations and associated near horizon geometries.

Findings

Horizons with 4 supersymmetries are isometric to specific product spaces.

Near horizon geometries with more than 4 supersymmetries are flat and isometric to R^{1,1} * T^8.

Classified geometries include S^1 * S^3 * T^4, S^1 * S^3 * K_3, and R^{1,1} * T^8.

Abstract

We classify under some assumptions the IIB black hole horizons with 5-form flux preserving more than 2 supersymmetries. We find that the spatial horizon sections with non-vanishing flux preserving 4 supersymmetries are locally isometric either to S^1 * S^3 * T^4 or to S^1 * S^3 * K_3 and the associated near horizon geometries are locally isometric to AdS_3 * S^3 * T^4 and AdS_3 * S^3 * K_3$, respectively. The near horizon geometries preserving more than 4 supersymmetries are locally isometric to R^{1,1} * T^8.