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High Energy Physics - Theory
Title: Who told you magnetization is a vector in $4-ε$ dimensions?
(Submitted on 23 Apr 2024 (v1), last revised 10 May 2024 (this version, v2))
Abstract: But 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 $O(d)$ 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 $O(4), O(5), O(6)$ anti-symmetric matrix model in $d=3$, aiming at physical applications.
Submission history
From: Yu Nakayama [view email][v1] Tue, 23 Apr 2024 01:54:30 GMT (389kb,D)
[v2] Fri, 10 May 2024 07:52:01 GMT (396kb,D)
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