E 8 instantons on type-A ALE spaces and supersymmetric field theories

Noppadol Mekareeya; Kantaro Ohmori; Yuji Tachikawa; Gabi Zafrir

doi:10.1007/JHEP09(2017)144

E ₈ instantons on type-A ALE spaces and supersymmetric field theories

Noppadol Mekareeya, Kantaro Ohmori, Yuji Tachikawa, Gabi Zafrir

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

Abstract

We consider the 6d superconformal field theory realized on M5-branes probing the E₈ end-of-the-world brane on the deformed and resolved ℂ²/ℤ_k singularity. We give an explicit algorithm which determines, for arbitrary holonomy at infinity, the 6d quiver gauge theory on the tensor branch, the type-A class S description of the T² compactification, and the star-shaped quiver obtained as the mirror of the T³ compactification.

Original language	English
Article number	144
Journal	Journal of High Energy Physics
Volume	2017
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2017)144
State	Published - 1 Sep 2017
Externally published	Yes

Bibliographical note

Funding Information:
The authors thank Hiroyuki Shimizu for the collaboration at the early stages. NM sincerely thanks Stefano Cremonesi, Amihay Hanany and Alessandro Tomasiello for a close collaboration, invaluable insights, and several useful discussions. He also grateful to the hospitality of the organisers of the Pollica Summer Workshop 2017, including Fernando Alday, Philip Argyres, Madalena Lemos and Mario Martone. He is supported in part by the INFN, the ERC Starting Grant 637844-HBQFTNCER, as well as the ERC STG grant 306260 through the Pollica Summer Workshop. KO gratefully acknowledges support from the Institute for Advanced Study. YT is partially supported in part byJSPS KAKENHI Grant-in-Aid (Wakate-A), No.17H04837 and JSPS KAKENHI Grant-in-Aid (Kiban-S), No.16H06335. YT and GZ are partially supported by WPI Initiative, MEXT, Japan at IPMU, the University of Tokyo.

Publisher Copyright:
© 2017, The Author(s).

Keywords

Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
Supersymmetry and Duality

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP09(2017)144

Cite this

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title = "E 8 instantons on type-A ALE spaces and supersymmetric field theories",

abstract = "We consider the 6d superconformal field theory realized on M5-branes probing the E8 end-of-the-world brane on the deformed and resolved ℂ2/ℤk singularity. We give an explicit algorithm which determines, for arbitrary holonomy at infinity, the 6d quiver gauge theory on the tensor branch, the type-A class S description of the T2 compactification, and the star-shaped quiver obtained as the mirror of the T3 compactification.",

keywords = "Field Theories in Higher Dimensions, Field Theories in Lower Dimensions, Supersymmetry and Duality",

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

note = "Funding Information: The authors thank Hiroyuki Shimizu for the collaboration at the early stages. NM sincerely thanks Stefano Cremonesi, Amihay Hanany and Alessandro Tomasiello for a close collaboration, invaluable insights, and several useful discussions. He also grateful to the hospitality of the organisers of the Pollica Summer Workshop 2017, including Fernando Alday, Philip Argyres, Madalena Lemos and Mario Martone. He is supported in part by the INFN, the ERC Starting Grant 637844-HBQFTNCER, as well as the ERC STG grant 306260 through the Pollica Summer Workshop. KO gratefully acknowledges support from the Institute for Advanced Study. YT is partially supported in part byJSPS KAKENHI Grant-in-Aid (Wakate-A), No.17H04837 and JSPS KAKENHI Grant-in-Aid (Kiban-S), No.16H06335. YT and GZ are partially supported by WPI Initiative, MEXT, Japan at IPMU, the University of Tokyo. Publisher Copyright: {\textcopyright} 2017, The Author(s).",

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