Chern-Simons invariants and heterotic superpotentials
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 sta...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Springer Nature
2020
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| _version_ | 1797066201049858048 |
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| author | Anderson, LB Gray, J Lukas, A Wang, J |
| author_facet | Anderson, LB Gray, J Lukas, A Wang, J |
| author_sort | Anderson, LB |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T21:39:02Z |
| format | Journal article |
| id | oxford-uuid:4743d790-8e60-49a4-b8a7-5b6636738a17 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:39:02Z |
| publishDate | 2020 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:4743d790-8e60-49a4-b8a7-5b6636738a172022-03-26T15:19:05ZChern-Simons invariants and heterotic superpotentialsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4743d790-8e60-49a4-b8a7-5b6636738a17EnglishSymplectic ElementsSpringer Nature2020Anderson, LBGray, JLukas, AWang, JThe 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. |
| spellingShingle | Anderson, LB Gray, J Lukas, A Wang, J Chern-Simons invariants and heterotic superpotentials |
| title | Chern-Simons invariants and heterotic superpotentials |
| title_full | Chern-Simons invariants and heterotic superpotentials |
| title_fullStr | Chern-Simons invariants and heterotic superpotentials |
| title_full_unstemmed | Chern-Simons invariants and heterotic superpotentials |
| title_short | Chern-Simons invariants and heterotic superpotentials |
| title_sort | chern simons invariants and heterotic superpotentials |
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