Notes on GLSMs for Supermanifolds and Their Mirrors
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911308358615040 |
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| author | Zou, Hao |
| author_facet | Zou, Hao |
| contents | In this paper, we revisit the A-twisted gauged linear sigma models (GLSMs) whose geometric phases are complex Kähler supermanifolds. For abelian models without superpotentials we propose an explicit orbifold description of the non-geometric (Landau-Ginzburg) point, and give a systematic rule for the nontrivial R-charge assignments at that point. We then study topological super Landau-Ginzburg models, derive chiral ring relations and genus-$g$ correlation functions, and use these formulas to test a Hori-Vafa-type mirror proposal for supermanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on GLSMs for Supermanifolds and Their Mirrors Zou, Hao High Energy Physics - Theory In this paper, we revisit the A-twisted gauged linear sigma models (GLSMs) whose geometric phases are complex Kähler supermanifolds. For abelian models without superpotentials we propose an explicit orbifold description of the non-geometric (Landau-Ginzburg) point, and give a systematic rule for the nontrivial R-charge assignments at that point. We then study topological super Landau-Ginzburg models, derive chiral ring relations and genus-$g$ correlation functions, and use these formulas to test a Hori-Vafa-type mirror proposal for supermanifolds. |
| title | Notes on GLSMs for Supermanifolds and Their Mirrors |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.07671 |