Year: 2025
Type: preprint
Abstract: Let $A=A_{G,N}^{\hbar=1}$ be a quantized Coulomb branch with an antilinear automorphism $ρ$. A map $T\colon A\to\mathbb{C}$ is called a positive trace if $T(aρ(a))>0$ for all nonzero $a\in A$. Positive traces on Coulomb branches appear in the study of supersymmetric gauge theories. We classify positive traces on all abelian Coulomb branches, meaning $G=(\mathbb{C}^{\times})^d$ is a torus.
Source: arXiv (Cornell University)
Author: Klyuev, Daniil
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7102583597
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