Compactifications of 6d N = (1, 0) SCFTs with non-trivial Stiefel-Whitney classes

Kantaro Ohmori; Yuji Tachikawa; Gabi Zafrir

doi:10.1007/JHEP04(2019)006

Compactifications of 6d N = (1, 0) SCFTs with non-trivial Stiefel-Whitney classes

Kantaro Ohmori, Yuji Tachikawa, Gabi Zafrir

Research output: Contribution to journal › Article › peer-review

Abstract

We consider compactifications of very Higgsable 6dN=(1, 0) SCFTs on T ² with non-trivial Stiefel-Whitney classes (or equivalently ’t Hooft magnetic fluxes) introduced for their flavor symmetry groups. These systems can also be studied as twisted S ¹ compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d N=2 SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 N=2 SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry e ₈ , usp(10), su(4) and su(3) can be uniformly obtained by starting from a single-tensor theory in 6d. We also have a mostly independent appendix where we propose a rule to determine the Coulomb branch dimensions of 4dN=2 theories obtained by T ² compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.

Original language	English
Article number	6
Journal	Journal of High Energy Physics
Volume	2019
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2019)006
State	Published - 1 Apr 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019, The Author(s).

Keywords

Field Theories in Higher Dimensions
String Duality
Supersymmetric Gauge Theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP04(2019)006

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title = "Compactifications of 6d N = (1, 0) SCFTs with non-trivial Stiefel-Whitney classes",

abstract = " We consider compactifications of very Higgsable 6dN=(1, 0) SCFTs on T 2 with non-trivial Stiefel-Whitney classes (or equivalently {\textquoteright}t Hooft magnetic fluxes) introduced for their flavor symmetry groups. These systems can also be studied as twisted S 1 compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d N=2 SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 N=2 SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry e 8 , usp(10), su(4) and su(3) can be uniformly obtained by starting from a single-tensor theory in 6d. We also have a mostly independent appendix where we propose a rule to determine the Coulomb branch dimensions of 4dN=2 theories obtained by T 2 compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.",

keywords = "Field Theories in Higher Dimensions, String Duality, Supersymmetric Gauge Theory",

author = "Kantaro Ohmori and Yuji Tachikawa and Gabi Zafrir",

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AU - Ohmori, Kantaro

AU - Tachikawa, Yuji

AU - Zafrir, Gabi

PY - 2019/4/1

Y1 - 2019/4/1

N2 - We consider compactifications of very Higgsable 6dN=(1, 0) SCFTs on T 2 with non-trivial Stiefel-Whitney classes (or equivalently ’t Hooft magnetic fluxes) introduced for their flavor symmetry groups. These systems can also be studied as twisted S 1 compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d N=2 SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 N=2 SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry e 8 , usp(10), su(4) and su(3) can be uniformly obtained by starting from a single-tensor theory in 6d. We also have a mostly independent appendix where we propose a rule to determine the Coulomb branch dimensions of 4dN=2 theories obtained by T 2 compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.

AB - We consider compactifications of very Higgsable 6dN=(1, 0) SCFTs on T 2 with non-trivial Stiefel-Whitney classes (or equivalently ’t Hooft magnetic fluxes) introduced for their flavor symmetry groups. These systems can also be studied as twisted S 1 compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d N=2 SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 N=2 SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry e 8 , usp(10), su(4) and su(3) can be uniformly obtained by starting from a single-tensor theory in 6d. We also have a mostly independent appendix where we propose a rule to determine the Coulomb branch dimensions of 4dN=2 theories obtained by T 2 compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.

KW - Field Theories in Higher Dimensions

KW - String Duality

KW - Supersymmetric Gauge Theory

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Compactifications of 6d N = (1, 0) SCFTs with non-trivial Stiefel-Whitney classes

Abstract

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Keywords

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