Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications
Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications
We study to what extent Wilson lines in heterotic Calabi-Yau compactifications lead to non-trivial H-flux via Chern-Simons terms. Wilson lines are basic ingredients for Standard Model constructions but their induced H-flux may affect the consistency of the leading order background geometry and of the two-dimensional worldsheet theory. Moreover H-flux in heterotic compactifications would play an important role for moduli stabilization and could strongly constrain the supersymmetry breaking scale. We show how to compute H-flux and the corresponding superpotential, given an explicit complete intersection Calabi-Yau compactification and choice of Wilson lines. We do so by identifying large classes of special Lagrangian submanifolds in the Calabi-Yau, understanding how the Wilson lines project onto these submanifolds, and computing their Chern-Simons invariants. We illustrate our procedure with the quintic hypersurface as well as the split-bicubic, which can provide a potentially realistic three generation model.
Gautason, Fridrik Freyr
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Apruzzi, Fabio
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Parameswaran, Susha
db8b0602-e2aa-4e83-8f8b-8ac0b8fe4c41
Zagermann, Marco
547e40b6-e2d0-4c56-bd2d-1de1341b53b9
27 February 2015
Gautason, Fridrik Freyr
0c48d448-e092-48bf-a310-45862bd6fc5f
Apruzzi, Fabio
ae85056c-0b4b-4fb8-9e55-dee490f3b362
Parameswaran, Susha
db8b0602-e2aa-4e83-8f8b-8ac0b8fe4c41
Zagermann, Marco
547e40b6-e2d0-4c56-bd2d-1de1341b53b9
Gautason, Fridrik Freyr, Apruzzi, Fabio, Parameswaran, Susha and Zagermann, Marco
(2015)
Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications.
JHEP, 2015 (183).
(doi:10.1007/JHEP02(2015)183).
Abstract
We study to what extent Wilson lines in heterotic Calabi-Yau compactifications lead to non-trivial H-flux via Chern-Simons terms. Wilson lines are basic ingredients for Standard Model constructions but their induced H-flux may affect the consistency of the leading order background geometry and of the two-dimensional worldsheet theory. Moreover H-flux in heterotic compactifications would play an important role for moduli stabilization and could strongly constrain the supersymmetry breaking scale. We show how to compute H-flux and the corresponding superpotential, given an explicit complete intersection Calabi-Yau compactification and choice of Wilson lines. We do so by identifying large classes of special Lagrangian submanifolds in the Calabi-Yau, understanding how the Wilson lines project onto these submanifolds, and computing their Chern-Simons invariants. We illustrate our procedure with the quintic hypersurface as well as the split-bicubic, which can provide a potentially realistic three generation model.
Text
JHEP02(2015)183
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Accepted/In Press date: 1 February 2015
Published date: 27 February 2015
Identifiers
Local EPrints ID: 497213
URI: http://eprints.soton.ac.uk/id/eprint/497213
ISSN: 1126-6708
PURE UUID: 66e11971-7853-4345-865f-7da423b2bf02
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Date deposited: 15 Jan 2025 18:18
Last modified: 22 Aug 2025 02:43
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Author:
Fridrik Freyr Gautason
Author:
Fabio Apruzzi
Author:
Susha Parameswaran
Author:
Marco Zagermann
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