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Title: 4d $$ \mathcal{N}=1 $$ from 6d $$ \mathcal{N}=\left(1,0\right) $$ on a torus with fluxes

Abstract

Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C 2/Z k singularities.

Authors:
 [1];  [2];  [3];  [4];  [5];  [5]
  1. Univ. of California, San Diego, CA (United States). Dept. of Physics; Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
  2. Imperial College, London (United Kingdom)
  3. Seikei Univ., Tokyo (Japan)
  4. Technion, Haifa (Israel). Dept. of Physics
  5. Univ. of Tokyo (Japan). Inst. for the Physics and Mathematics of the Universe (IPMU)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1374894
Grant/Contract Number:
SC0009919
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory

Citation Formats

Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, and Zafrir, Gabi. 4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes. United States: N. p., 2017. Web. doi:10.1007/JHEP06(2017)022.
Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, & Zafrir, Gabi. 4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes. United States. doi:10.1007/JHEP06(2017)022.
Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, and Zafrir, Gabi. Mon . "4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes". United States. doi:10.1007/JHEP06(2017)022. https://www.osti.gov/servlets/purl/1374894.
@article{osti_1374894,
title = {4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes},
author = {Bah, Ibrahima and Hanany, Amihay and Maruyoshi, Kazunobu and Razamat, Shlomo S. and Tachikawa, Yuji and Zafrir, Gabi},
abstractNote = {Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C2/Zk singularities.},
doi = {10.1007/JHEP06(2017)022},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2017,
place = {United States},
year = {Mon Jun 05 00:00:00 EDT 2017},
month = {Mon Jun 05 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4works
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  • Here, we study the T 2 compactification of a class of 6dmore » $$ \mathcal{N}=\left(1,\;0\right) $$ theories that is Higgsable to $$ \mathcal{N}=\left(2,\;0\right) $$ theories. We show that the resulting 4d N=2 theory at the origin of the Coulomb branch and the parameter space is generically given by two superconformal matter sectors coupled by an infrared-free gauge multiplet and another conformal gauge multiplet. Our analysis utilizes the 5d theories obtained by putting the same class of 6d theories on S 1. Our class includes, among others, the 6d theories describing multiple M 5 branes on an ALE singularity, and we analyze them in detail. The resulting 4d theory has manifestly both the SL(2,Z) and the full flavor symmetry. We also discuss in detail the special cases of 6d theories where the infrared-free gauge multiplet is absent. In an appendix, we give a field-theoretical argument for an F-theoretic constraint that forbids a particular 6d anomaly-free matter content, as an application of our analysis.« less
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  • We study certain N=1 preserving deformations of four-dimensional N=2 superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an N=1 chiral multiplet transforming in the adjoint representation of the flavor symmetry with a superpotential coupling, and giving a nilpotent vacuum expectation value to the chiral multiplet which breaks the flavor symmetry. This triggers a renormalization group flow to an infrared SCFT. Remarkably, we find classes of theories flow to enhanced N=2 supersymmetric fixed points in the infrared under the deformation. They include generalized Argyres-Douglas theories and rank-one SCFTs with non-abelian flavor symmetries. Most notably, wemore » find renormalization group flows from the deformed conformal SQCDs to the (A1, An) Argyres-Douglas theories. From these “Lagrangian descriptions,” we compute the full superconformal indices of the (A1, An) theories and find agreements with the previous results. Furthermore, we study the cases, including the TN and R0,N theories of class S and some of rank-one SCFTs, where the deformation gives genuine N=1 fixed points.« less