Positive traces on quantized abelian Coulomb branches

2025/10/28 by Klyuev, Daniil · 1 citation
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2510.25021

Abstract

Let A=A_G,N^ℏ=1 be a quantized Coulomb branch with an antilinear automorphism ρ. A map T\colon A→ℂ is called a positive trace if T(aρ(a))>0 for all nonzero a∈ 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=(ℂ^×)^d is a torus.

Citations

• Schur Quantization and Complex Chern-Simons theory
• Twisted traces on abelian quantum Higgs and Coulomb branches
• Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality
• A one-dimensional theory for Higgs branch operators
• Hypertoric varieties and zonotopal tilings

Cited by

• Residue construction of quantized Coulomb branches

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