Nonsupersymmetric Dualities from Mirror Symmetry

Abstract

We study supersymmetry breaking perturbations of the simplest dual pair of 2+1-dimensional N =2 supersymmetric field theories -the free chiral multiplet and N = 2 super-QED with a single flavor. We find dual descriptions of a phase diagram containing four distinct massive phases. The equivalence of the intervening critical theories gives rise to several non-supersymmetric avatars of mirror symmetry: we find dualities relating scalar QED to a free fermion and Wilson-Fisher theories to both scalar and fermionic QED. Thus, mirror symmetry can be viewed as the multicritical parent duality from which these non-supersymmetric dualities directly descend.

Fermionized parafermions and symmetry-enriched Majorana modes

“…One can readily verify that the decomposition above preserves the properties in Eq. (119). Finally, we introduce spinless fermions via…”

A master bosonization duality

“…At large N , these dualities appear to be inherited from a three-dimensional version of Seiberg duality [33,34], and there is some expectation that the non-supersymmetric bosonization dualities are always the offspring of a parent supersymmetric duality (see e.g. [19,[33][34][35][36]). …”

A symmetry breaking scenario for QCD3

“…The dynamics of 2+1 dimensional non-Abelian gauge theories has been recently revitalised by the proposal of boson/fermion dualities [2][3][4][10][11][12][13][14][15][16][17][18]. 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].…”