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arXiv · 2405.19395

Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial

Philip C. Argyres·Robert Moscrop·Souradeep Thakur·Mitch Weaver
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Abstract

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.

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Philip C. Argyres, Robert Moscrop, Souradeep Thakur, Mitch Weaver. 2024-12-20. Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial. https://doi.org/10.1007/jhep06(2025)095

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