Positive traces on quantized abelian Coulomb branches
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918177628225536 |
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| author | Klyuev, Daniil |
| author_facet | Klyuev, Daniil |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25021 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive traces on quantized abelian Coulomb branches Klyuev, Daniil Representation Theory High Energy Physics - Theory Mathematical Physics 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. |
| title | Positive traces on quantized abelian Coulomb branches |
| topic | Representation Theory High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2510.25021 |