$$ \mathcal{N} $$ = 1 dualities in 2+1 dimensions

Benini, Francesco; Benvenuti, Sergio

doi:10.1007/jhep11(2018)197

Cited by 48 publications

(79 citation statements)

References 57 publications

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“…In [1] we showed that the merging pattern of the 4 bosonic and 4 bosonic fixed points suggested by large N f argument is consistent with various boson ↔ fermion dualities conjectured to hold when the number of flavors is N f =2 [1,21,22] (see also [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] for recent progress in 2+1d dualities). This scenario is also consistent with lattice simulations, that at small N f [43][44][45][46][47] suggest second order or weakly first order phase transition, and with numerical bootstrap results relevant for N f =2 [48][49][50][51].…”

Section: Jhep05(2019)214supporting

confidence: 69%

“…For this purpose first we notice that the action (4.24) without the first term is the N = 1 supersymmetric O(N ) sigma model [89]. The large N f scaling dimensions of the field σ and of the bilinear adjoint operator for this model have been computed in [89] (see [39] for a finite-N f study in the 4 − expansion): Finally, for the completeness, we compute the scaling dimensions of the scalar mesonic operators in N = 2 SQED, which at leading order have dimension 2, but are not protected. One such operator is the quartic adjoint-2: |Φ| 4 adj−2 , to calculate its scaling dimension one uses graphs in the tables 14, 16.…”

Section: Jhep05(2019)214mentioning

confidence: 99%

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Easy-plane QED3’s in the large Nf limit

Benvenuti

Khachatryan

2019

J. High Energ. Phys.

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We consider Quantum Electrodynamics in 2 + 1 dimensions with N f fermionic or bosonic flavors, allowing for interactions that respect the global symmetry U(N f /2) 2. There are four bosonic and four fermionic fixed points, which we analyze using the large N f expansion. We systematically compute, at order O(1/N f), the scaling dimensions of quadratic and quartic mesonic operators. We also consider Quantum Electrodynamics with minimal supersymmetry. In this case the large N f scaling dimensions, extrapolated at N f = 2, agree quite well with the scaling dimensions of a dual supersymmetric Gross-Neveu-Yukawa model. This provides a quantitative check of the conjectured duality.

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Section: Jhep05(2019)214supporting

confidence: 69%

Section: Jhep05(2019)214mentioning

confidence: 99%

Easy-plane QED3’s in the large Nf limit

Benvenuti

Khachatryan

2019

J. High Energ. Phys.

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“…However, the improved understanding that we now have of the dynamics of N = 1 three-dimensional CS-matter theories (see e.g. [12,[16][17][18][49][50][51][52]), together with a few more facts which were not fully appreciated previously, let us reconsider this problem and provide a more complete and satisfactory picture, in the regime F < N . For instance, in Table 2 we list all BPS domain walls of SU (N ) SQCD for N ≤ 5.…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

“…As before, it is convenient to rescale the meson field M and the spatial coordinate x (as well as to possibly shift the phase of the central charge) 20 as 17) in order to obtain dimensionless differential equations,…”

Section: Symmetry Breaking Wallsmentioning

confidence: 99%

Living on the walls of super-QCD

et al. 2019

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We study BPS domain walls in four-dimensional N = 1 massive SQCD with gauge group SU (N ) and F < N flavors. We propose a class of threedimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for F < N massive SQCD. A similar picture holds also for SQCD with gauge group Sp(N ) and F < N + 1 flavors.

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“…The authors of [22] proposed the following duality (and related SU −U and U −U dualities) for the case N f = 1:…”

Section: Discussion Of Dualities and Exact Moduli Spacesmentioning

confidence: 99%

Large N renormalization group flows in 3d $$ \mathcal{N} $$ = 1 Chern-Simons-Matter theories

Aharony

Sharon

2019

J. High Energ. Phys.

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We discuss 3d N = 1 supersymmetric SU(N) and U(N) Chern-Simons-matter theories, with N f matter superfields in the fundamental representation of SU(N) or U(N). In the large N 't Hooft limit with fixed 't Hooft coupling λ these theories have one (for N f = 1) or two (for N f > 1) exactly marginal deformations in the superpotential. At finite N these couplings acquire a beta function. We compute the beta function exactly for λ = 0, at leading order in 1/N. For N f = 1 we find four fixed points, one of which is triply-degenerate. We show that at large N there are at most six fixed points for any λ , and conjecture that there are exactly six, with three of them stable (including a point with enhanced N = 2 supersymmetry). The strong-weak coupling dualities of N = 1 Chern-Simons-matter theories map each of these fixed points to a dual one. We show that at large N the phase structure near each of the three stable fixed points is different. For N f > 1 we analyze the fixed points at weak coupling, and we work out the action of the strong-weak coupling duality on the marginal and relevant superpotential couplings at large N (which was previously known only for N f = 1). In addition, we compute in these theories the 2-point and 3-point functions of the lowest gauge-invariant singlet superfield at large N, for all values of λ and of the superpotential couplings, and use them to test the large N dualities. This computation is one of the ingredients needed for a computation of the beta function at order 1/N for all λ , which we leave for future work. We also discuss Chern-Simons-matter theories with extra Hubbard-Stratonovich type singlet fields, and suggest dualities between them.

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$$ \mathcal{N} $$ = 1 dualities in 2+1 dimensions

Cited by 48 publications

References 57 publications

Easy-plane QED3’s in the large Nf limit

Easy-plane QED3’s in the large Nf limit

Living on the walls of super-QCD

Large N renormalization group flows in 3d $$ \mathcal{N} $$ = 1 Chern-Simons-Matter theories

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