Who told you magnetization is a vector in 4−ϵ dimensions?

However, if you treat it as a two-form, you get three nontrivial renormalization group fixed points! Which becomes the Heisenberg fixed point in three dimensions? Motivated by this question, we study the conformal bootstrap constraint in the [Formula: see text] anti-symmetric matrix model in d dimensions, varying d as a continuous parameter. Besides the one that is naturally connected to the Heisenberg fixed point in three dimensions, we find “evanescent” kinks whose origin is yet to be identified. We also bootstrap [Formula: see text], [Formula: see text], [Formula: see text] anti-symmetric matrix model in [Formula: see text], aiming at physical applications.

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Publication Details

Journal
International Journal of Modern Physics A
Published
2025-03-01
DOI
https://doi.org/10.1142/s0217751x25500411
Citations
1
Primary Topic
Magnetic properties of thin films
Type
article
Field-Weighted Citation Impact
1.25
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article

Who told you magnetization is a vector in 4−ϵ dimensions?

Yu Nakayama
1 citations
International Journal of Modern Physics A
Magnetic properties of thin films
1.25
article

Who told you magnetization is a vector in 4−ϵ dimensions?

Yu Nakayama
article en
1 citations

Abstract

However, if you treat it as a two-form, you get three nontrivial renormalization group fixed points! Which becomes the Heisenberg fixed point in three dimensions? Motivated by this question, we study the conformal bootstrap constraint in the [Formula: see text] anti-symmetric matrix model in d dimensions, varying d as a continuous parameter. Besides the one that is naturally connected to the Heisenberg fixed point in three dimensions, we find “evanescent” kinks whose origin is yet to be identified. We also bootstrap [Formula: see text], [Formula: see text], [Formula: see text] anti-symmetric matrix model in [Formula: see text], aiming at physical applications.

International Journal of Modern Physics AVol. 40(15)
Kyoto University (JP)
Openalex Percentile: Top 24%
Magnetic properties of thin films
1.25
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