Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2410.11837 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914973831135232 |
|---|---|
| author | Raghavendran, Surya Yoo, Philsang |
| author_facet | Raghavendran, Surya Yoo, Philsang |
| contents | Minimal BCOV theory is a classical field theory which describes a subclass of deformations of the category of perfect complexes on a Calabi-Yau variety. We compute minimal models for $L_\infty$-algebras describing minimal BCOV theory and its variants on flat space and find that they give certain $L_\infty$-extensions of the infinite-dimensional simple Lie superalgebra $\operatorname{SHO}(d|d)$. We apply this computation to compare an $\mathfrak{sl}_2$ action on an odd two-dimensional central extension of $\operatorname{SHO}(3|3)$ first discovered by Kac to an action of $\mathfrak{sl}_2$ on a variant of minimal BCOV theory previously found by the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal models for minimal BCOV theories Raghavendran, Surya Yoo, Philsang Mathematical Physics High Energy Physics - Theory Quantum Algebra 17B65, 17B66, 18G70 Minimal BCOV theory is a classical field theory which describes a subclass of deformations of the category of perfect complexes on a Calabi-Yau variety. We compute minimal models for $L_\infty$-algebras describing minimal BCOV theory and its variants on flat space and find that they give certain $L_\infty$-extensions of the infinite-dimensional simple Lie superalgebra $\operatorname{SHO}(d|d)$. We apply this computation to compare an $\mathfrak{sl}_2$ action on an odd two-dimensional central extension of $\operatorname{SHO}(3|3)$ first discovered by Kac to an action of $\mathfrak{sl}_2$ on a variant of minimal BCOV theory previously found by the authors. |
| title | Minimal models for minimal BCOV theories |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra 17B65, 17B66, 18G70 |
| url | https://arxiv.org/abs/2410.11837 |