Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial
Abstract We show that scale-invariant special Kähler geometries whose generic r dim ℂ 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....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2025)095 |
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| Summary: | Abstract We show that scale-invariant special Kähler geometries whose generic r dim ℂ 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 Kähler geometries, which, in turn, is relevant to the classification of possible 4-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric superconformal field theories. |
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| ISSN: | 1029-8479 |