Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations

Argyres, Philip; Lotito, Matteo; Lü, Yongchao; Martone, Mario

doi:10.1007/jhep02(2018)001

Title: Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations

Journal Article · 01 February 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep02(2018)001 · OSTI ID:1499169

Argyres, Philip ^[1]; Lotito, Matteo ^[1]; Lü, Yongchao ^[1]; Martone, Mario ^[1]

Univ. of Cincinnati, OH (United States). Physics Dept.

We initiate a systematic study of four dimensional N = 2 superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCFTs are not uniquely characterized by their scale-invariant Coulomb branch geometries we also need information on their deformations. We construct all inequivalent such deformations preserving N = 2 supersymmetry and additional physical consistency conditions in the rank 1 case. These not only include all the ones previously predicted by S-duality, but also 16 additional deformations satisfying all the known N = 2 low energy consistency conditions. All but two of these additonal deformations have recently been identified with new rank 1 SCFTs; these identifications are briefly reviewed. Some novel ingredients which are important for this study include: a discussion of RG-flows in the presence of a moduli space of vacua; a classification of local N = 2 supersymmetry-preserving deformations of unitary N = 2 SCFTs; and an analysis of charge normalizations and the Dirac quantization condition on Coulomb branches. With this being said, this paper is the first in a series of three. The second paper [1] gives the details of the explicit construction of the Coulomb branch geometries discussed here, while the third [2] discusses the computation of central charges of the associated SCFTs.

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Research Organization:: Univ. of Cincinnati, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011784

OSTI ID:: 1499169

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 70 works

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