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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.19395 |
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| _version_ | 1866912528652566528 |
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| author | Argyres, Philip C. Moscrop, Robert Thakur, Souradeep Weaver, Mitch |
| author_facet | Argyres, Philip C. Moscrop, Robert Thakur, Souradeep Weaver, Mitch |
| contents | We show that scale-invariant special Kahler geometries whose generic r-complex-dimensional abelian variety fiber is isomorphic (completely split) or isogenous (completely iso-split) as a complex torus to the product of r one-dimensional complex tori have constant $τ^{ij}$ modulus on the Coulomb branch, i.e., are isotrivial. These simple results are useful in organizing the classification of scale-invariant special Kahler geometries, which, in turn, is relevant to the classification of possible 4-dimensional N=2 supersymmetric superconformal field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19395 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial Argyres, Philip C. Moscrop, Robert Thakur, Souradeep Weaver, Mitch High Energy Physics - Theory We show that scale-invariant special Kahler geometries whose generic r-complex-dimensional abelian variety fiber is isomorphic (completely split) or isogenous (completely iso-split) as a complex torus to the product of r one-dimensional complex tori have constant $τ^{ij}$ modulus on the Coulomb branch, i.e., are isotrivial. These simple results are useful in organizing the classification of scale-invariant special Kahler geometries, which, in turn, is relevant to the classification of possible 4-dimensional N=2 supersymmetric superconformal field theories. |
| title | Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.19395 |