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Moduli stabilisation in heterotic string compactifications

Moduli stabilisation in heterotic string compactifications
Moduli stabilisation in heterotic string compactifications
In this paper we analyze the structure of supersymmetric vacua in compactifications of the heterotic string on certain manifolds with SU(3) structure. We first study the effective theories obtained from compactifications on half-flat manifolds and show that solutions which stabilise the moduli at acceptable values are hard to find. We then derive the effective theories associated with compactification on generalized half-flat manifolds. It is shown that these effective theories are consistent with four-dimensional N = 1 supergravity and that the superpotential can be obtained by a Gukov-Vafa-Witten type formula. Within these generalized models, we find consistent supersymmetric (AdS) vacua at weak gauge coupling, provided we allow for general internal gauge bundles. In simple cases we perform a counting of such vacua and find that a fraction of about 1/1000 leads to a gauge coupling consistent with gauge unification.
superstring Vacua, supersymmetric effective theories
1-35
de Carlos, Beatriz
f2040a2d-52ce-4166-add7-60135ce21835
Micu, Andrei
d065d528-4697-4f9e-b68b-a629d8c0f1b6
Gurrieri, Sebastien
b45c4ebc-d399-4573-a298-94c64d2cfbbb
Lukas, André
cc4eeac5-0a75-4b2e-ae07-303cbb6ca99c
de Carlos, Beatriz
f2040a2d-52ce-4166-add7-60135ce21835
Micu, Andrei
d065d528-4697-4f9e-b68b-a629d8c0f1b6
Gurrieri, Sebastien
b45c4ebc-d399-4573-a298-94c64d2cfbbb
Lukas, André
cc4eeac5-0a75-4b2e-ae07-303cbb6ca99c

de Carlos, Beatriz, Micu, Andrei, Gurrieri, Sebastien and Lukas, André (2006) Moduli stabilisation in heterotic string compactifications. Journal of High Energy Physics, 3 (5), 1-35. (doi:10.1088/1126-6708/2006/03/005).

Record type: Article

Abstract

In this paper we analyze the structure of supersymmetric vacua in compactifications of the heterotic string on certain manifolds with SU(3) structure. We first study the effective theories obtained from compactifications on half-flat manifolds and show that solutions which stabilise the moduli at acceptable values are hard to find. We then derive the effective theories associated with compactification on generalized half-flat manifolds. It is shown that these effective theories are consistent with four-dimensional N = 1 supergravity and that the superpotential can be obtained by a Gukov-Vafa-Witten type formula. Within these generalized models, we find consistent supersymmetric (AdS) vacua at weak gauge coupling, provided we allow for general internal gauge bundles. In simple cases we perform a counting of such vacua and find that a fraction of about 1/1000 leads to a gauge coupling consistent with gauge unification.

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Published date: 1 March 2006
Keywords: superstring Vacua, supersymmetric effective theories

Identifiers

Local EPrints ID: 39219
URI: http://eprints.soton.ac.uk/id/eprint/39219
PURE UUID: 738c3c78-7694-46f5-9e50-bf669946a641

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Date deposited: 23 Jun 2006
Last modified: 15 Mar 2024 08:12

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Contributors

Author: Beatriz de Carlos
Author: Andrei Micu
Author: Sebastien Gurrieri
Author: André Lukas

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