Exceptional moduli spaces for exceptional N = 3 theories

Justin Kaidi; Mario Martone; Gabi Zafrir

doi:10.1007/JHEP08(2022)264

Exceptional moduli spaces for exceptional N = 3 theories

Justin Kaidi, Mario Martone, Gabi Zafrir

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

Abstract

It is expected on general grounds that the moduli space of 4d N = 3 theories is of the form ℂ^3r/Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d N = 3 theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d N = 3 theories proposed in [1], constructed via non-geometric quotients of type-e 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d N = 3 theories going beyond simple S-folds.

Original language	English
Article number	264
Journal	Journal of High Energy Physics
Volume	2022
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2022)264
State	Published - Aug 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).

Keywords

Conformal Field Models in String Theory
M-Theory
P-Branes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP08(2022)264

Cite this

@article{237c7599c4284d32bb0141b7c5177300,

title = "Exceptional moduli spaces for exceptional N = 3 theories",

abstract = "It is expected on general grounds that the moduli space of 4d N = 3 theories is of the form ℂ3r/Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d N = 3 theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d N = 3 theories proposed in [1], constructed via non-geometric quotients of type-e 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d N = 3 theories going beyond simple S-folds.",

keywords = "Conformal Field Models in String Theory, M-Theory, P-Branes",

author = "Justin Kaidi and Mario Martone and Gabi Zafrir",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = aug,

doi = "10.1007/JHEP08(2022)264",

language = "English",

volume = "2022",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "8",

}

TY - JOUR

T1 - Exceptional moduli spaces for exceptional N = 3 theories

AU - Kaidi, Justin

AU - Martone, Mario

AU - Zafrir, Gabi

PY - 2022/8

Y1 - 2022/8

N2 - It is expected on general grounds that the moduli space of 4d N = 3 theories is of the form ℂ3r/Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d N = 3 theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d N = 3 theories proposed in [1], constructed via non-geometric quotients of type-e 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d N = 3 theories going beyond simple S-folds.

AB - It is expected on general grounds that the moduli space of 4d N = 3 theories is of the form ℂ3r/Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d N = 3 theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d N = 3 theories proposed in [1], constructed via non-geometric quotients of type-e 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d N = 3 theories going beyond simple S-folds.

KW - Conformal Field Models in String Theory

KW - M-Theory

KW - P-Branes

UR - http://www.scopus.com/inward/record.url?scp=85137080724&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2022)264

DO - 10.1007/JHEP08(2022)264

M3 - Article

AN - SCOPUS:85137080724

SN - 1126-6708

VL - 2022

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 264

ER -

Exceptional moduli spaces for exceptional N = 3 theories

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this