Unitarity, crossing symmetry and duality in the scattering of N = 1 $$ \mathcal{N}=1 $$ susy matter Chern-Simons theories

Abstract

We study the most general renormalizable N = 1 U(N ) Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the 't Hooft large N limit we present computations and conjectures for the 2 × 2 S matrix in these theories; our results apply at all orders in the 't Hooft coupling and the matter self interaction. Our S matrices are in perfect agreement with the recently conjectured strong weak coupling self duality of this class of theories. The consistency of our results with unitarity requires a modification of the usual rules of crossing symmetry in precisely the manner anticipated in arXiv:1404.6373, lending substantial support to the conjectures of that paper. In a certain range of coupling constants our S matrices have a pole whose mass vanishes on a self dual codimension one surface in the space of couplings.

A symmetry breaking scenario for QCD3

“…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.…”

A master bosonization duality

“…At large N, k, with N/k finite, they are dual to a peculiar theory of gravity known as Vasiliev theory [4][5][6]. These theories are in fact solvable in this limit, and much is known of their thermal physics and scattering amplitudes [4][5][6][19][20][21]. Away from N = k = N f = 1, they imply a web of dualities for gauge theories with product gauge groups and (bi)fundamental matter [22], known as quiver gauge theories, and have been embedded intro string theory [23] (see also [24]).…”

A test of bosonization at the level of four-point functions in Chern-Simons vector models

“…These theories, which have been intensively studied in the past few years [1][2][3][4][5][6][7][8][9][10][11][12][13], are particularly interesting because they provide examples of non-supersymmetric dualities. For instance, they are widely believed to be dual to Vasiliev higher-spin gauge theories (see [14] for a review).…”