N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations

Agarwal, Prarit; Maruyoshi, Kazunobu; Song, Jaewon

doi:10.1007/JHEP12(2016)103

Title: N = 1 Deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations

Journal Article · Mon Dec 19 23:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP12(2016)103 · OSTI ID:1368038

Agarwal, Prarit ^[1]; Maruyoshi, Kazunobu ^[2]; Song, Jaewon ^[3]

Seoul National Univ. (Korea, Republic of). Center for Theoretical Physics. Dept. of Physics and Astronomy; University of California, San Diego
Seikei Univ., Tokyo (Japan). Faculty of Science and Technology
Univ. of California, San Diego, CA (United States). Dept. of Physics

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,D₂_N-1) and (A₁,D₂_N) respectively. This RG flow therefore allows us to compute the full superconformal index of the (A₁,D_N) 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.

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Research Organization:: Univ. of California, San Diego, CA (United States); Seoul National Univ. (Korea, Republic of)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Samsung Science and Technology Foundation (Korea, Republic of)

Contributing Organization:: Seikei Univ., Tokyo (Japan)

Grant/Contract Number:: SC0009919

OSTI ID:: 1368038

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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