Seiberg-like dualities for 3d $ \mathcal{N}=2 $ theories with SU(N) gauge group

We study two well-known classes of dualities in three dimensional N = 2 supersymmetric field theories. In the first class there are non trivial interactions involving monopole operators while in the second class the dual gauge theories have Chern-Simons terms in the action. An RG flows connecting the first dual pair to the second one has been studied in the past and tested on the partition function on the squashed three sphere. Recently an opposite RG flow connecting the second dual pair to the first one has been studied in the case of unitary gauge groups. In this paper we study this flow on the partition function on the squashed three sphere. We verify that the equality between the partition functions of the original dual models is preserved in the IR, where the other dual pair is reached. We generalize the analysis to the case of symplectic and of orthogonal groups.

Section: Discussionmentioning

confidence: 99%

A note on 3D $ \mathcal{N} $ = 2 dualities: real mass flow and partition function

Amariti

2014

“…They were motivated by ideas in 2 + 1d field theory [19][20][21][22][23][24], supersymmetric quantum field theory [9,[25][26][27][28][29][30][31][32][33][34][35][36], and string theory [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. Roughly speaking, these dualities shed light on theories with small N f not larger than the Chern-Simons level in the fermionic theory.…”

Section: Jhep01(2018)109mentioning

confidence: 99%

A symmetry breaking scenario for QCD3

Komargodski

Seiberg

2018

108

265

Abstract:We consider the dynamics of 2+1 dimensional SU(N ) gauge theory with ChernSimons level k and N f fundamental fermions. By requiring consistency with previously suggested dualities for N f ≤ 2k as well as the dynamics at k = 0 we propose that the theory with N f > 2k breaks the U(N f ) global symmetry spontaneously to U(N f /2 + k) × U(N f /2 − k). In contrast to the 3+1 dimensional case, the symmetry breaking takes place in a range of quark masses and not just at one point. The target space never becomes parametrically large and the Nambu-Goldstone bosons are therefore not visible semi-classically. Such symmetry breaking is argued to take place in some intermediate range of the number of flavors, 2k < N f < N * (N, k), with the upper limit N * obeying various constraints. The Lagrangian for the Nambu-Goldstone bosons has to be supplemented by nontrivial Wess-Zumino terms that are necessary for the consistency of the picture, even at k = 0. Furthermore, we suggest two scalar dual theories in this range of N f . A similar picture is developed for SO(N ) and Sp(N ) gauge theories. It sheds new light on monopole condensation and confinement in the SO(N ) & Spin(N ) theories.

“…The Aharony duality [10] is a Seiberg-like duality of the U(N ) or Sp(2N ) gauge theories without Chern-Simons terms. Furthermore the extensions including adjoint matters are very well studied [11][12][13][14]. However the deconfinement technique in 3d has not been investigated yet.…”

Section: Jhep08(2016)123mentioning

confidence: 99%

“…For the 3d dualities with two-index matters, we have the 3d version of the KutasovSchwimmer duality [13,14]. The electric side is an U(N c ) gauge theories with N f (anti-)fundamental matters Q,Q and an adjoint matter X with a superpotential W = tr X k+1 .…”

Section: Jhep08(2016)123mentioning

confidence: 99%

3d deconfinement, product gauge group, Seiberg-Witten and new 3d dualities

Nii

2016

We construct a three-dimensional deconfinement method which enables us to find new three-dimensional dualities and we apply various techniques developed in the fourdimensional supersymmetric gauge theories, such as product gauge groups and SeibergWitten curves, to the three-dimensional N = 2 supersymmetric gauge theories. The dual descriptions of the three-dimensional N = 2 supersymmetric gauge theories which involve two-index matters, for example, adjoint, symmetric, and anti-symmetric matters without a superpotential can be obtained. These matters are described in terms of the s-confining phases of the supersymmetric gauge theories.