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Title: Geometric constraints on the space of N = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows

Abstract

This is the second in a series of three papers on systematic analysis of rank 1 Coulomb branch geometries of four dimensional N = 2 SCFTs. In [1] we developed a strategy for classifying physical rank-1 CB geometries of N = 2 SCFTs. Here we show how to carry out this strategy computationally to construct the Seiberg-Witten curves and one-forms for all the rank-1 SCFTs. Explicit expressions are given for all 28 cases, with the exception of the N f =4 su(2) gauge theory and the En SCFTs which were constructed in [2, 3] and [4, 5].

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:
1499173
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 C., Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Geometric constraints on the space of N = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows. United States: N. p., 2018. Web. https://doi.org/10.1007/jhep02(2018)002.
Argyres, Philip C., Lotito, Matteo, Lü, Yongchao, & Martone, Mario. Geometric constraints on the space of N = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows. United States. https://doi.org/10.1007/jhep02(2018)002
Argyres, Philip C., Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Thu . "Geometric constraints on the space of N = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows". United States. https://doi.org/10.1007/jhep02(2018)002. https://www.osti.gov/servlets/purl/1499173.
@article{osti_1499173,
title = {Geometric constraints on the space of N = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows},
author = {Argyres, Philip C. and Lotito, Matteo and Lü, Yongchao and Martone, Mario},
abstractNote = {This is the second in a series of three papers on systematic analysis of rank 1 Coulomb branch geometries of four dimensional N = 2 SCFTs. In [1] we developed a strategy for classifying physical rank-1 CB geometries of N = 2 SCFTs. Here we show how to carry out this strategy computationally to construct the Seiberg-Witten curves and one-forms for all the rank-1 SCFTs. Explicit expressions are given for all 28 cases, with the exception of the N f =4 su(2) gauge theory and the En SCFTs which were constructed in [2, 3] and [4, 5].},
doi = {10.1007/jhep02(2018)002},
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:

Table 1 Table 1: The 28 families of deformed planar rank-1 CB geometries consistent with the low energy Dirac quantization condition. Column 2 lists the Kodaira type of the scale invariant CB geometry, column 3 the resulting singularity types under a generic relevant deformation, and column 4 the maximal flavor symmetry ofmore » the SCFT. The values for the central charges for the entries in the table are known and can be found in table 1 of [16].« less

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    Works referencing / citing this record:

    Universal correlation functions in rank 1 SCFTs
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    • Journal of High Energy Physics, Vol. 2019, Issue 12
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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.