We analyze dynamics of chiral gauge theories based on the gauge group with one antisymmetric tensor and () antifundamentals when is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global symmetry is spontaneously broken to . There are massless fermions as a fundamental representation of , and another massless fermion, together saturating the anomaly matching conditions. When is even, the unbroken flavor symmetry is while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.
Bibliographical noteFunding Information:
National Science Foundation United States-Israel Binational Science Foundation U.S. Department of Energy Japan Society for the Promotion of Science Ministry of Education, Culture, Sports, Science and Technology World Premier International Research Center Initiative Hamamatsu Photonics K.K.
We thank Yuri Shirman for careful reading of the manuscript and useful comments. C. C. is supported in part by the NSF Grant No. PHY-2014071 as well as the US-Israeli BSF Grant No. 2016153. We also thank Jacob Leedom for pointing out typos. O. T. and H. M. were supported in part by the DOE under Grant No. DE-AC02-05CH11231. H. M. was also supported in part by the NSF Grant No. PHY-1915314, by the JSPS Grant-in-Aid for Scientific Research JP20K03942, MEXT Grant-in-Aid for Transformative Research Areas (A) JP20H05850, JP20A203, by the World Premier International Research Center Initiative, MEXT, Japan, and Hamamatsu Photonics, K. K.
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