Isomorphisms of 4D N = 2 SCFTs from 6D
Abstract
There exist 4D N = 2 superconformal field theories (SCFTs) in class S that have different constructions as punctured Riemann surfaces, but which nevertheless appear to describe the same physics. Some of these class S theories have an alternative construction as torus-compactifications of 6D (1, 0) SCFTs. We demonstrate that the 6D SCFTs are isomorphic. Each 6D SCFT in question can be obtained from a parent 6D SCFT by Higgs branch renormalization group flow, and the parent theory possesses a discrete symmetry under which the relevant Higgs branch flows are exchanged. The existence of this discrete symmetry, which may be embedded in an enhanced continuous symmetry, proves that the original pair of class S theories are, in fact, isomorphic.
Additional Information
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. We thank Sergei Gukov for encouraging us to actually prove something. J. D., M. J. K., and C. L. thank the Simons Center Summer Workshop 2022 for the stimulating environment in which this work was initiated. Further progress was made during the SCGP Workshop on "5d N = 1 SCFTs and Gauge Theories on Brane Webs." M. J. K. and C. L. also thank the Weinberg Institute of UT Austin for hospitality during the later stage of this project. C. L. further thanks Florent Baume for collaboration on the development of the software hexacon. The work of J. D. and G. E. is supported in part by the National Science Foundation under Grant No. PHY-2210562. M. J. K. is supported by a Sherman Fairchild Postdoctoral Fellowship and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. C. L. acknowledges support from DESY (Hamburg, Germany), a member of the Helmholtz Association HGF.Attached Files
Published - PhysRevD.107.106005.pdf
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Additional details
- Eprint ID
- 121804
- Resolver ID
- CaltechAUTHORS:20230613-731307200.34
- NSF
- PHY-2210562
- Sherman Fairchild Foundation
- Department of Energy (DOE)
- DE-SC0011632
- Deutsches Elektronen-Synchrotron
- Helmholtz-Gemeinschaft Deutscher Forschungszentren (HGF)
- SCOAP3
- Created
-
2023-07-07Created from EPrint's datestamp field
- Updated
-
2023-07-07Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics