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Title: Flavor symmetries and the topology of special Kähler structures at rank 1

Abstract

We propose a method for determining the flavor charge lattice of the continuous flavor symmetry of rank-1 4d \( \mathcal{N} \) = 2 superconformal field theories (SCFTs) and IR free gauge theories from topological invariants of the special Kahler structure of the mass-deformed Coulomb branches (CBs) of the theories. The method is based on the middle homology of the total space of the elliptic fibration over the CB, and is a generalization of the F-theory string web description of flavor charge lattices. The resulting lattices, which we call “string web lattices”, contain not only information about the flavor symmetry of the SCFT but also additional information encoded in the lattice metric derived from the middle homology intersection form. This additional information clearly reflects the low energy electric and magnetic charges of BPS states on the CB, but there are other properties of the string web lattice metric which we have not been able to understand in terms of properties of the BPS spectrum. We compute the string web lattices of all rank-1 SCFTs and IR free gauge theories. We find agreement with results obtained by other methods, and find in a few cases that the string web lattice gives additionalmore » information on the flavor symmetry.« less

Authors:
 [1]; ORCiD logo [2]
  1. Univ. of Cincinnati, OH (United States)
  2. Univ. of Massachusetts, Amherst, MA (United States)
Publication Date:
Research Org.:
Univ. of Cincinnati, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1593735
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: 2019; 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; Extended Supersymmetry; Nonperturbative Effects; Supersymmetric Gauge Theory

Citation Formats

Argyres, Philip C., and Lotito, Matteo. Flavor symmetries and the topology of special Kähler structures at rank 1. United States: N. p., 2019. Web. doi:10.1007/JHEP02(2019)026.
Argyres, Philip C., & Lotito, Matteo. Flavor symmetries and the topology of special Kähler structures at rank 1. United States. doi:10.1007/JHEP02(2019)026.
Argyres, Philip C., and Lotito, Matteo. Tue . "Flavor symmetries and the topology of special Kähler structures at rank 1". United States. doi:10.1007/JHEP02(2019)026. https://www.osti.gov/servlets/purl/1593735.
@article{osti_1593735,
title = {Flavor symmetries and the topology of special Kähler structures at rank 1},
author = {Argyres, Philip C. and Lotito, Matteo},
abstractNote = {We propose a method for determining the flavor charge lattice of the continuous flavor symmetry of rank-1 4d \( \mathcal{N} \) = 2 superconformal field theories (SCFTs) and IR free gauge theories from topological invariants of the special Kahler structure of the mass-deformed Coulomb branches (CBs) of the theories. The method is based on the middle homology of the total space of the elliptic fibration over the CB, and is a generalization of the F-theory string web description of flavor charge lattices. The resulting lattices, which we call “string web lattices”, contain not only information about the flavor symmetry of the SCFT but also additional information encoded in the lattice metric derived from the middle homology intersection form. This additional information clearly reflects the low energy electric and magnetic charges of BPS states on the CB, but there are other properties of the string web lattice metric which we have not been able to understand in terms of properties of the BPS spectrum. We compute the string web lattices of all rank-1 SCFTs and IR free gauge theories. We find agreement with results obtained by other methods, and find in a few cases that the string web lattice gives additional information on the flavor symmetry.},
doi = {10.1007/JHEP02(2019)026},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2019,
place = {United States},
year = {2019},
month = {2}
}

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