Abstract
We conjecture infrared emergent supersymmetry for a class of three-dimensional U(1) gauge theories coupled with a single chiral multiplet. One example is the case where the U(1) gauge group has the Chern-Simons level and the chiral multiplet has gauge charge . Other examples are related to this example either by known dualities or rescaling the Abelian gauge field. We give three independent pieces of evidence for the conjecture: (i) exact match between the central charges of the U(1) R-symmetry current and the U(1) topological symmetry current, (ii) semiclassical construction of the stress-tensor multiplet, and (iii) an IR duality between a direct product of the two copies of the 3D theory, on the one hand, and an theory obtained by gauging the diagonal SU(2) flavor symmetry of the theory, on the other. The duality in (iii) follows from geometrical aspects of the 3D–3D correspondence.
- Received 25 July 2018
DOI:https://doi.org/10.1103/PhysRevD.98.121701
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society