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

Abstract

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 thirdmore » [2] discusses the computation of central charges of the associated SCFTs.« less

Authors:
 [1];  [1];  [1];  [1]
  1. Univ. of Cincinnati, OH (United States). Physics Dept.
Publication Date:
Research Org.:
Univ. of Cincinnati, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1499169
Grant/Contract Number:  
SC0011784
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: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory

Citation Formats

Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations. United States: N. p., 2018. Web. https://doi.org/10.1007/jhep02(2018)001.
Argyres, Philip, Lotito, Matteo, Lü, Yongchao, & Martone, Mario. Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations. United States. https://doi.org/10.1007/jhep02(2018)001
Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Thu . "Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations". United States. https://doi.org/10.1007/jhep02(2018)001. https://www.osti.gov/servlets/purl/1499169.
@article{osti_1499169,
title = {Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations},
author = {Argyres, Philip and Lotito, Matteo and Lü, Yongchao and Martone, Mario},
abstractNote = {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.},
doi = {10.1007/jhep02(2018)001},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

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Cited by: 19 works
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Figures / Tables:

Figure 1 Figure 1: (a) A planar, scale-invariant CB in the rank 1 case. The conformal vacuum is the tip of the cone, at u = 0, while at points with u ≠ 0 conformality is spontaneously broken. (b) A typical “near” deformation of the scale-invariant geometry, in which the conical singularitymore » splits into several conical or cusp-like singularities, u = ui, without affecting the asymptotically far geometry.« less

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    Works referencing / citing this record:

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.