Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities
arXiv:2208.07842 · doi:10.1007/JHEP11(2022)122
Abstract
We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the 't Hooft anomalies of this theory to free fermions. We show that there are novel and, in some cases, quite powerful constraints on the dynamics in the large N limit. In addition, we study these SU(N) theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all 21 't Hooft anomalies for global symmetries are matched with those of a Spin(8) gauge theory. This suggests a non-supersymmetric extension of the duality of Pouliot and Strassler. Finally, we also discuss some non-supersymmetric dualities with vector-like matter content for SO(N) and Sp(N) gauge theories and the constraints imposed by Weingarten inequalities.
arXiv comment41 pages. v2: minor typo fixed
References in corpus (28)
- Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
- On Renormalization Group Flows in Four Dimensions
- Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
- Fermion Path Integrals And Topological Phases
- Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
- Duality, Monopoles, Dyons, Confinement and Oblique Confinement in Supersymmetric SO(N_c) Gauge Theories
- Duality in SUSY with an Antisymmetric Tensor
- Chiral Duals of Non-Chiral SUSY Gauge Theories
- Exotic Non-Supersymmetric Gauge Dynamics from Supersymmetric QCD
- Some Examples of Chiral Moduli Spaces and Dynamical Supersymmetry Breaking
- The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
- Phases of Chiral Gauge Theories
- Exact results for non-holomorphic masses in softly broken supersymmetric gauge theories
- A Chiral Gauge Theory and its Non-Chiral Dual
- Duality and Dynamical Supersymmetry Breaking in with a Spinor
- Some Exact Results in QCD-like Theories
- Duality in the Presence of Supersymmetry Breaking
- Misleading Anomaly Matchings?
- Some Exact Results in Chiral Gauge Theories
- More Exact Results on Chiral Gauge Theories: the Case of the Symmetric Tensor
- Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings
- `t Hooft Anomaly Matching for QCD
- Strong anomaly and phases of chiral gauge theories
- Phases of N=1 supersymmetric chiral gauge theories
- New dynamics and dualities in supersymmetric chiral gauge theories
- S-duality of nonsupersymmetric gauge theories
- Non-Supersymmetric Brane Configurations, Seiberg Duality and Dynamical Symmetry Breaking
- A Note on Seiberg Duality and Chiral Symmetry Breaking