Anomaly corrected heterotic horizons

A. Fontanella; J. B. Gutowski; Georgios Papadopoulos

doi:10.1007/JHEP10(2016)121

Anomaly corrected heterotic horizons

A. Fontanella, J. B. Gutowski^*, Georgios Papadopoulos

^*Corresponding author for this work

University of Surrey

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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Abstract

We consider supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory. We identify the conditions for the horizons to admit enhancement of supersymmetry. We show that solutions which undergo supersymmetry enhancement exhibit an sl(2,ℝ) symmetry, and we describe the geometry of their horizon sections. We also prove a modified Lichnerowicz type theorem, incorporating α′ corrections, which relates Killing spinors to zero modes of near-horizon Dirac operators. Furthermore, we demonstrate that there are no AdS₂ solutions in heterotic supergravity up to second order in α′ for which the fields are smooth and the internal space is smooth and compact without boundary. We investigate a class of nearly supersymmetric horizons, for which the gravitino Killing spinor equation is satisfied on the spatial cross sections but not the dilatino one, and present a description of their geometry.

Original language	English
Article number	121
Number of pages	53
Journal	Journal of High Energy Physics
Volume	2016
Issue number	10
Early online date	21 Oct 2016
DOIs	https://doi.org/10.1007/JHEP10(2016)121
Publication status	E-pub ahead of print - 21 Oct 2016

Keywords

Black Holes in String Theory
Supergravity Models

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10.1007/JHEP10(2016)121Licence: CC BY

Anomaly corrected heterotic horizons_FONTANELLA_Accepted 05Oct2016_GOLD VoRFinal published version, 0.99 MBLicence: CC BY

https://arxiv.org/abs/1605.05635

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AU - Fontanella, A.

AU - Gutowski, J. B.

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AB - We consider supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory. We identify the conditions for the horizons to admit enhancement of supersymmetry. We show that solutions which undergo supersymmetry enhancement exhibit an sl(2,ℝ) symmetry, and we describe the geometry of their horizon sections. We also prove a modified Lichnerowicz type theorem, incorporating α′ corrections, which relates Killing spinors to zero modes of near-horizon Dirac operators. Furthermore, we demonstrate that there are no AdS2 solutions in heterotic supergravity up to second order in α′ for which the fields are smooth and the internal space is smooth and compact without boundary. We investigate a class of nearly supersymmetric horizons, for which the gravitino Killing spinor equation is satisfied on the spatial cross sections but not the dilatino one, and present a description of their geometry.

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Anomaly corrected heterotic horizons

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