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High Energy Physics - Theory
Title: 3d Large $N$ Vector Models at the Boundary
(Submitted on 14 Dec 2020 (v1), last revised 5 Jul 2021 (this version, v3))
Abstract: We consider a 4d scalar field coupled to large $N$ free or critical $O(N)$ vector models, either bosonic or fermionic, on a 3d boundary. We compute the $\beta$ function of the classically marginal bulk/boundary interaction at the first non-trivial order in the large $N$ expansion and exactly in the coupling. Starting with the free (critical) vector model at weak coupling, we find a fixed point at infinite coupling in which the boundary theory is the critical (free) vector model and the bulk decouples. We show that a strong/weak duality relates one description of the renormalization group flow to another one in which the free and the critical vector models are exchanged. We then consider the theory with an additional Maxwell field in the bulk, which also gives decoupling limits with gauged vector models on the boundary.
Submission history
From: Edoardo Lauria El [view email][v1] Mon, 14 Dec 2020 17:30:46 GMT (1506kb,D)
[v2] Tue, 19 Jan 2021 21:10:03 GMT (6359kb,D)
[v3] Mon, 5 Jul 2021 13:42:50 GMT (6360kb,D)
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