N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations
Abstract
We continue to investigate the N = 1 deformations of four-dimensional N = 2 superconformal field theories (SCFTs) labeled by a nilpotent element of the flavor symmetry [1]. This triggers a renormalization group (RG) flow to an N = 1 SCFT. We systematically analyze all possible deformations of this type for certain classes of N = 2 SCFTs: conformal SQCDs, generalized Argyres-Douglas theories and the E6 SCFT. We find a number of examples where the amount of supersymmetry gets enhanced to N = 2 at the end point of the RG flow. Most notably, we find that the SU(N) and Sp(N) conformal SQCDs can be deformed to flow to the Argyres-Douglas (AD) theories of type (A1,D2N-1) and (A1,D2N) respectively. This RG flow therefore allows us to compute the full superconformal index of the (A1,DN) class of AD theories. Moreover, we find an infrared duality between N = 1 theories where the fixed point is described by an N = 2 AD theory. We observe that the classes of examples that exhibit supersymmetry enhancement saturate certain bounds for the central charges implied by the associated two-dimensional chiral algebra.
- Authors:
-
- Seoul National Univ. (Korea, Republic of). Center for Theoretical Physics. Dept. of Physics and Astronomy
- Seikei Univ., Tokyo (Japan). Faculty of Science and Technology
- Univ. of California, San Diego, CA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, CA (United States); Seoul National Univ. (Korea, Republic of)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Samsung Science and Technology Foundation (Korea, Republic of)
- Contributing Org.:
- Seikei Univ., Tokyo (Japan)
- OSTI Identifier:
- 1368038
- Grant/Contract Number:
- SC0009919; SSTF-BA1402-08
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Extended Supersymmetry; Supersymmetric gauge theory
Citation Formats
Agarwal, Prarit, Maruyoshi, Kazunobu, and Song, Jaewon. N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations. United States: N. p., 2016.
Web. doi:10.1007/JHEP12(2016)103.
Agarwal, Prarit, Maruyoshi, Kazunobu, & Song, Jaewon. N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations. United States. https://doi.org/10.1007/JHEP12(2016)103
Agarwal, Prarit, Maruyoshi, Kazunobu, and Song, Jaewon. Tue .
"N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations". United States. https://doi.org/10.1007/JHEP12(2016)103. https://www.osti.gov/servlets/purl/1368038.
@article{osti_1368038,
title = {N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations},
author = {Agarwal, Prarit and Maruyoshi, Kazunobu and Song, Jaewon},
abstractNote = {We continue to investigate the N = 1 deformations of four-dimensional N = 2 superconformal field theories (SCFTs) labeled by a nilpotent element of the flavor symmetry [1]. This triggers a renormalization group (RG) flow to an N = 1 SCFT. We systematically analyze all possible deformations of this type for certain classes of N = 2 SCFTs: conformal SQCDs, generalized Argyres-Douglas theories and the E6 SCFT. We find a number of examples where the amount of supersymmetry gets enhanced to N = 2 at the end point of the RG flow. Most notably, we find that the SU(N) and Sp(N) conformal SQCDs can be deformed to flow to the Argyres-Douglas (AD) theories of type (A1,D2N-1) and (A1,D2N) respectively. This RG flow therefore allows us to compute the full superconformal index of the (A1,DN) class of AD theories. Moreover, we find an infrared duality between N = 1 theories where the fixed point is described by an N = 2 AD theory. We observe that the classes of examples that exhibit supersymmetry enhancement saturate certain bounds for the central charges implied by the associated two-dimensional chiral algebra.},
doi = {10.1007/JHEP12(2016)103},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2016,
place = {United States},
year = {Tue Dec 20 00:00:00 EST 2016},
month = {Tue Dec 20 00:00:00 EST 2016}
}
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