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High Energy Physics - Theory

Title: Who told you magnetization is a vector in $4-ε$ dimensions?

Authors: Yu Nakayama
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.
Comments: 27 pages, 11 figures
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech)
Report number: YITP-24-51
Cite as: arXiv:2404.14669 [hep-th]
  (or arXiv:2404.14669v1 [hep-th] for this version)

Submission history

From: Yu Nakayama [view email]
[v1] Tue, 23 Apr 2024 01:54:30 GMT (389kb,D)

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