A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds
Abstract Heterotic backgrounds with torsion preserving minimal supersymmetry in four dimensions can be obtained as orbifolds of principal T 2 bundles over K3. We consider a worldsheet description of these backgrounds as gauged linear sigma-models (GLSMs) with (0, 2) supersymmetry. Such a formulation...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2023)175 |
| _version_ | 1797675813224579072 |
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| author | Dan Israël Yann Proto |
| author_facet | Dan Israël Yann Proto |
| author_sort | Dan Israël |
| collection | DOAJ |
| description | Abstract Heterotic backgrounds with torsion preserving minimal supersymmetry in four dimensions can be obtained as orbifolds of principal T 2 bundles over K3. We consider a worldsheet description of these backgrounds as gauged linear sigma-models (GLSMs) with (0, 2) supersymmetry. Such a formulation provides a useful framework in order to address the resolution of singularities of the orbifold geometries. We investigate the constraints imposed by discrete symmetries on the corresponding torsional GLSMs. In particular, the principal T 2 connection over K3 is inherited from (0, 2) vector multiplets. As these vectors gauge global scaling symmetries of products of projective spaces, the corresponding K3 geometry is naturally realized as an algebraic hypersurface in such a product (or as a branched cover of it). We outline the general construction for describing such orbifolds. We give explicit constructions for automorphisms of order two and three. |
| first_indexed | 2024-03-11T22:20:08Z |
| format | Article |
| id | doaj.art-a18db61a14b8420cae249d4193a07c00 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:20:08Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a18db61a14b8420cae249d4193a07c002023-09-24T11:07:04ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023613710.1007/JHEP06(2023)175A worldsheet approach to 𝒩 = 1 heterotic flux backgroundsDan Israël0Yann Proto1Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Énergies, LPTHESorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Énergies, LPTHEAbstract Heterotic backgrounds with torsion preserving minimal supersymmetry in four dimensions can be obtained as orbifolds of principal T 2 bundles over K3. We consider a worldsheet description of these backgrounds as gauged linear sigma-models (GLSMs) with (0, 2) supersymmetry. Such a formulation provides a useful framework in order to address the resolution of singularities of the orbifold geometries. We investigate the constraints imposed by discrete symmetries on the corresponding torsional GLSMs. In particular, the principal T 2 connection over K3 is inherited from (0, 2) vector multiplets. As these vectors gauge global scaling symmetries of products of projective spaces, the corresponding K3 geometry is naturally realized as an algebraic hypersurface in such a product (or as a branched cover of it). We outline the general construction for describing such orbifolds. We give explicit constructions for automorphisms of order two and three.https://doi.org/10.1007/JHEP06(2023)175Conformal Field Models in String TheoryFlux CompactificationsSuperstring VacuaSuperstrings and Heterotic Strings |
| spellingShingle | Dan Israël Yann Proto A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds Journal of High Energy Physics Conformal Field Models in String Theory Flux Compactifications Superstring Vacua Superstrings and Heterotic Strings |
| title | A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds |
| title_full | A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds |
| title_fullStr | A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds |
| title_full_unstemmed | A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds |
| title_short | A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds |
| title_sort | worldsheet approach to 𝒩 1 heterotic flux backgrounds |
| topic | Conformal Field Models in String Theory Flux Compactifications Superstring Vacua Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP06(2023)175 |
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