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AdS strings with torsion: Noncomplex heterotic compactifications

Frey, Andrew R. and Lippert, Matthew (2005) AdS strings with torsion: Noncomplex heterotic compactifications. Physical Review D, 72 (12). Art. No. 126001. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:FREprd05

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Abstract

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS4 compactifications on almost-Hermitian manifolds of SU(3) structure. Computation of the torsion allows a classification of the internal geometry, which for a particular combination of fluxes and condensate, is nearly Kähler. We argue that all moduli are fixed, and we show that the Kähler potential and superpotential proposed in the literature yield the correct AdS4 radius. In the nearly Kähler case, we are able to solve the H Bianchi identity using a nonstandard embedding. Finally, we point out subtleties in deriving the effective superpotential and understanding the heterotic supergravity in the presence of a gaugino condensate.


Item Type:Article
Additional Information:©2005 The American Physical Society (Received 7 September 2005; published 8 December 2005) We would like the thank Ben Freivogel, Sergei Gukov, Shamit Kachru, Pantelis Manouselis, Liam McAllister, Jeremy Michelson, Andrei Micu, Hirosi Ooguri, Nikolaos Prezas, Sergey Prokushkin, Michael Schulz, Al Shapere, Alessandro Tomasiello, and Chengang Zhou for helpful discussions. The work of A. R. F. was supported by the John A. McCone fellowship in theoretical physics at the California Institute of Technology. A.R. F. was also partially supprted from the DOE Grant No. DE-FG03-92-ER40701. The work of M. L. was supported by the DOE under Contract No. DE-FG001-00ER45832. Note added.—During the final preparation of this work, [91] appeared, which also discusses heterotic compactifications with torsion, flux, and gaugino condensation. We work from a more ten-dimensional point of view.
Subject Keywords:superstrings; supergravity; SU(3) theory; geometry
Record Number:CaltechAUTHORS:FREprd05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FREprd05
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.72.126001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1981
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:28 Feb 2006
Last Modified:26 Dec 2012 08:46

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