English

Heterotic Black Horizons

High Energy Physics - Theory 2015-06-23 v4 General Relativity and Quantum Cosmology

Abstract

We show that the supersymmetric near horizon geometry of heterotic black holes is either an AdS_3 fibration over a 7-dimensional manifold which admits a G_2 structure compatible with a connection with skew-symmetric torsion, or it is a product R^{1,1} * S^8, where S^8 is a holonomy Spin(7) manifold, preserving 2 and 1 supersymmetries respectively. Moreover, we demonstrate that the AdS_3 class of heterotic horizons can preserve 4, 6 and 8 supersymmetries provided that the geometry of the base space is further restricted. Similarly R^{1,1} * S^8 horizons with extended supersymmetry are products of R^{1,1} with special holonomy manifolds. We have also found that the heterotic horizons with 8 supersymmetries are locally isometric to AdS_3 * S^3 * T^4, AdS_3 * S^3 * K_3 or R^{1,1} * T^4 * K_3, where the radii of AdS_3 and S^3 are equal and the dilaton is constant.

Keywords

Cite

@article{arxiv.0912.3472,
  title  = {Heterotic Black Horizons},
  author = {J. Gutowski and G. Papadopoulos},
  journal= {arXiv preprint arXiv:0912.3472},
  year   = {2015}
}

Comments

35 pages, latex. Minor alterations to equation (3.11) and section 4.1, the conclusions are not affected

R2 v1 2026-06-21T14:25:16.879Z