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.
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Yu Nakayama (2024) studied this question.
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