University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Geometry and supersymmetry of heterotic warped flux AdS backgrounds

Beck, SW, Gutowski, JB and Papadopoulos, G (2015) Geometry and supersymmetry of heterotic warped flux AdS backgrounds

Full text not available from this repository.

Abstract

We classify the geometries of the most general warped, flux AdS backgrounds of heterotic supergravity up to two loop order in sigma model perturbation theory. We show under some mild assumptions that there are no $AdS_n$ backgrounds with $n\not=3$. Moreover the warp factor of AdS$_3$ backgrounds is constant, the geometry is a product $AdS_3\times M^7$ and such solutions preserve, 2, 4, 6 and 8 supersymmetries. The geometry of $M^7$ has been specified in all cases. For 2 supersymmetries, it has been found that $M^7$ admits a suitably restricted $G_2$ structure. For 4 supersymmetries, $M^7$ has an $SU(3)$ structure and can be described locally as a circle fibration over a 6-dimensional KT manifold. For 6 and 8 supersymmetries, $M^7$ has an $SU(2)$ structure and can be described locally as a $S^3$ fibration over a 4-dimensional manifold which either has an anti-self dual Weyl tensor or a hyper-K\"ahler structure, respectively. We also demonstrate a new Lichnerowicz type theorem in the presence of $\alpha'$ corrections.

Item Type: Article
Authors :
NameEmailORCID
Beck, SWUNSPECIFIEDUNSPECIFIED
Gutowski, JBj.gutowski@surrey.ac.ukUNSPECIFIED
Papadopoulos, GUNSPECIFIEDUNSPECIFIED
Date : 7 May 2015
Identification Number : https://doi.org/10.1007/JHEP07(2015)152
Uncontrolled Keywords : hep-th, hep-th, gr-qc, math-ph, math.MP
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:37
Last Modified : 17 May 2017 15:12
URI: http://epubs.surrey.ac.uk/id/eprint/839878

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800