Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.04438 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911005887430656 |
|---|---|
| author | Gu, W. Mihalcea, L. Sharpe, E. Xu, W. Zhang, H. Zou, H. |
| author_facet | Gu, W. Mihalcea, L. Sharpe, E. Xu, W. Zhang, H. Zou, H. |
| contents | In this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in ordinary Grassmannians. In the case of Lagrangian Grassmannians, there are superpotential terms in both the bulk GLSM as well as on the defect itself, enforcing isotropy constraints. We check our construction by comparing the locus on which the GLSM defect is supported to mathematical descriptions, checking dimensions, and perhaps most importantly, comparing defect indices to known and expected polynomial invariants of the Schubert cycles in quantum cohomology and quantum K theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04438 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Schubert defects in Lagrangian Grassmannians Gu, W. Mihalcea, L. Sharpe, E. Xu, W. Zhang, H. Zou, H. High Energy Physics - Theory In this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in ordinary Grassmannians. In the case of Lagrangian Grassmannians, there are superpotential terms in both the bulk GLSM as well as on the defect itself, enforcing isotropy constraints. We check our construction by comparing the locus on which the GLSM defect is supported to mathematical descriptions, checking dimensions, and perhaps most importantly, comparing defect indices to known and expected polynomial invariants of the Schubert cycles in quantum cohomology and quantum K theory. |
| title | Schubert defects in Lagrangian Grassmannians |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.04438 |