Journal article

Chern-Simons invariants and heterotic superpotentials

Abstract:: The superpotential in four-dimensional heterotic effective theories contains terms arising from holomorphic Chern-Simons invariants associated to the gauge and tangent bundles of the compactification geometry. These effects are crucial for a number of key features of the theory, including vacuum stability and moduli stabilization. Despite their importance, few tools exist in the literature to compute such effects in a given heterotic vacuum. In this work we present new techniques to explicitly determine holomorphic Chern-Simons invariants in heterotic string compactifications. The key technical ingredient in our computations are real bundle morphisms between the gauge and tangent bundles. We find that there are large classes of examples, beyond the standard embedding, where the Chern-Simons superpotential vanishes. We also provide explicit examples for non-flat bundles where it is non-vanishing and non-integer quantized, generalizing previous results for Wilson lines.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Anderson, L. B., Gray, J., Lukas, A., & Wang, J. (2020). Chern-Simons invariants and heterotic superpotentials. Journal of High Energy Physics, 2020(9).

MLA Style

Anderson, L. B., et al. “Chern-Simons Invariants and Heterotic Superpotentials.” Journal of High Energy Physics, vol. 2020, no. 9, Springer Nature, 2020.

Chicago Style

Anderson, LB, J Gray, A Lukas, and J Wang. 2020. “Chern-Simons Invariants and Heterotic Superpotentials.” Journal of High Energy Physics 2020 (9).
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Files:: Anderson_et_al_2020_Chern-Simons_Invariants.pdf

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Publisher copy:: 10.1007/JHEP09(2020)141

Authors

+ Anderson, LB More by this author

Role:: Author

+ Gray, J More by this author

Institution:: University of Oxford
Department:: PHYSICS
Sub department:: Theoretical Physics
Oxford college:: St John's College
Role:: Author

+ Lukas, A More by this author

Institution:: University of Oxford
Department:: PHYSICS
Sub department:: Theoretical Physics
Oxford college:: Balliol College; Balliol College; Balliol College; Balliol College; Balliol College; Balliol College; BALLIOL COLLEGE
Role:: Author
ORCID:: 0000-0003-4969-0447

+ Wang, J More by this author

Role:: Author

Publisher:: Springer Nature
Journal:: Journal of High Energy Physics More from this journal
Volume:: 2020
Issue:: 9
Article number:: 141
Publication date:: 2020-09-22
Acceptance date:: 2020-08-20
DOI:: 10.1007/JHEP09(2020)141
EISSN:: 1029-8479
ISSN:: 1029-8479

Language:: English
Keywords:: Supersymmetric Effective Theories

Superstring Vacua

Differential and Algebraic Geometry

FFR
Pubs id:: 1137397
Local pid:: pubs:1137397
Deposit date:: 2021-08-04

Terms of use

Copyright holder:: Anderson et al.
Copyright date:: 2020
Rights statement:: ©2020 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Licence:: CC Attribution (CC BY)

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