Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2020)154
Keywords
Anomalies in Field and String Theories; Confinement; Solitons Monopoles and Instantons; Topological States of Matter
Categories
Funding
- JSPS KAKENHI [20K22350]
- [YITP-T-20-03]
- Grants-in-Aid for Scientific Research [20K22350] Funding Source: KAKEN
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We study a four-dimensional U(1) gauge theory with the theta angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram thanks to the presence of both electrically and magnetically charged particles. We discuss the topological nature of the oblique confinement phase of the model at theta = pi, and show how its appearance can be consistent with the anomaly constraint. We also construct the SL(2, Z) self-dual theory out of the Cardy-Rabinovici model by gauging a part of its one-form symmetry. This self-duality has a mixed 't Hooft anomaly with gravity, and its implications on the phase diagram is uncovered. As the model shares the same global symmetry and 't Hooft anomaly with those of SU(N) Yang-Mills theory, studying its topological aspects would provide us more hints to explore possible dynamics of non-Abelian gauge theories with nonzero theta angles.
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