论文标题
手性量规动力学:非苏匹配二元性的候选人
Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities
论文作者
论文摘要
我们研究手性SU(N)仪表理论的动力学。这些包含量规组的对称或反对称表示中的Weyl fermions,以及基本和抗基本中的进一步费物。我们重新审视了一项旧的酒吧和Yankielowicz的建议,这些建议与该理论的hooft异常相匹配以释放费米子。我们表明,在某些情况下,有一些新颖的限制,对大n限制中的动态有相当有力的限制。 此外,我们研究了这些SU(N)理论,并在伴随表示中进行了额外的Weyl fermion转换。在这里,我们表明,全球对称性的所有21't Hooft异常都与旋转(8)仪表理论的呼吸量相匹配。这表明Pouliot和Strassler的二元性不对称扩展。最后,我们还讨论了一些具有类似矢量的物质含量的非苏匹配二元性,so(n)和sp(n)仪表理论以及魏因丁(Weingarten)不等式所施加的约束。
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.