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.
Authors
- Yu Nakayama (ORCID: https://orcid.org/0000-0002-1747-5147)
Institutions
- Kyoto University (JP)
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