3d large $N$ vector models at the boundary

Di Pietro, Lorenzo; Lauria, Edoardo; Niro, Pierluigi

doi:10.21468/SciPostPhys.11.3.050

SciPost Physics

3d large $N$ vector models at the boundary

Lorenzo Di Pietro, Edoardo Lauria, Pierluigi Niro

SciPost Phys. 11, 050 (2021) · published 8 September 2021

doi: 10.21468/SciPostPhys.11.3.050
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.3.050
TI  - 3d large $N$ vector models at the boundary
PY  - 2021/09/08
UR  - https://www.scipost.org/SciPostPhys.11.3.050
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 3
SP  - 050
A1  - Di Pietro, Lorenzo
AU  - Lauria, Edoardo
AU  - Niro, Pierluigi
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.3.050,
	title={{3d large $N$ vector models at the boundary}},
	author={Lorenzo Di Pietro and Edoardo Lauria and Pierluigi Niro},
	journal={SciPost Phys.},
	volume={11},
	pages={050},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.3.050},
	url={https://scipost.org/10.21468/SciPostPhys.11.3.050},
}

Cited by 13

Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² Lorenzo Di Pietro,
³ Edoardo Lauria,
⁴ ⁵ Pierluigi Niro

Funders for the research work leading to this publication

Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])
Instituto Nazionale di Fisica Nucleare (INFN) (through Organization: Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN])
Simons Foundation