E-String Theory on Riemann Surfaces

Hee Cheol Kim; Shlomo S. Razamat; Cumrun Vafa; Gabi Zafrir

doi:10.1002/prop.201700074

E-String Theory on Riemann Surfaces

Hee Cheol Kim, Shlomo S. Razamat, Cumrun Vafa, Gabi Zafrir

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

Abstract

We study compactifications of the 6d E-string theory, the theory of a small E₈ instanton, to four dimensions. In particular we identify N=1 field theories in four dimensions corresponding to compactifications on arbitrary Riemann surfaces with punctures and with arbitrary non-abelian flat connections as well as fluxes for the abelian sub-groups of the E₈ flavor symmetry. This sheds light on emergent symmetries in a number of 4d N=1 SCFTs (including the ‘E7 surprise’ theory) as well as leads to new predictions for a large number of 4-dimensional exceptional dualities and symmetries.

Original language	English
Article number	1700074
Journal	Fortschritte der Physik
Volume	66
Issue number	1
DOIs	https://doi.org/10.1002/prop.201700074
State	Published - Jan 2018
Externally published	Yes

Bibliographical note

Funding Information:
We would like to thank Chris Beem, Patrick Jefferson, Zohar Komargodski, and Yuji Tachikawa for useful discussions. We also like to thank SCGP summer workshop 2017 for hospitality during part of this work. The research of HK and CV is supported in part by NSF grant PHY-1067976. GZ is supported in part by World Premier International Research Center Initiative (WPI), MEXT, Japan. SSR is a Jacques Lewiner Career Advancement Chair fellow. The research of SSR was also supported by Israel Science Foundation under grant no. 1696/15 and by I-CORE Program of the Planning and Budgeting Committee.

Publisher Copyright:
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Keywords

E-string theory
superconformal field theory

ASJC Scopus subject areas

Physics and Astronomy (all)

Access to Document

10.1002/prop.201700074

Cite this

@article{8dea8c32abaa410ba58776a081855e99,

title = "E-String Theory on Riemann Surfaces",

abstract = "We study compactifications of the 6d E-string theory, the theory of a small E8 instanton, to four dimensions. In particular we identify N=1 field theories in four dimensions corresponding to compactifications on arbitrary Riemann surfaces with punctures and with arbitrary non-abelian flat connections as well as fluxes for the abelian sub-groups of the E8 flavor symmetry. This sheds light on emergent symmetries in a number of 4d N=1 SCFTs (including the {\textquoteleft}E7 surprise{\textquoteright} theory) as well as leads to new predictions for a large number of 4-dimensional exceptional dualities and symmetries.",

keywords = "E-string theory, superconformal field theory",

author = "Kim, {Hee Cheol} and Razamat, {Shlomo S.} and Cumrun Vafa and Gabi Zafrir",

note = "Funding Information: We would like to thank Chris Beem, Patrick Jefferson, Zohar Komargodski, and Yuji Tachikawa for useful discussions. We also like to thank SCGP summer workshop 2017 for hospitality during part of this work. The research of HK and CV is supported in part by NSF grant PHY-1067976. GZ is supported in part by World Premier International Research Center Initiative (WPI), MEXT, Japan. SSR is a Jacques Lewiner Career Advancement Chair fellow. The research of SSR was also supported by Israel Science Foundation under grant no. 1696/15 and by I-CORE Program of the Planning and Budgeting Committee. Publisher Copyright: {\textcopyright} 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim",

year = "2018",

month = jan,

doi = "10.1002/prop.201700074",

language = "English",

volume = "66",

journal = "Fortschritte der Physik",

issn = "0015-8208",

publisher = "Wiley-VCH Verlag",

number = "1",

}

TY - JOUR

T1 - E-String Theory on Riemann Surfaces

AU - Kim, Hee Cheol

AU - Razamat, Shlomo S.

AU - Vafa, Cumrun

AU - Zafrir, Gabi

N1 - Funding Information: We would like to thank Chris Beem, Patrick Jefferson, Zohar Komargodski, and Yuji Tachikawa for useful discussions. We also like to thank SCGP summer workshop 2017 for hospitality during part of this work. The research of HK and CV is supported in part by NSF grant PHY-1067976. GZ is supported in part by World Premier International Research Center Initiative (WPI), MEXT, Japan. SSR is a Jacques Lewiner Career Advancement Chair fellow. The research of SSR was also supported by Israel Science Foundation under grant no. 1696/15 and by I-CORE Program of the Planning and Budgeting Committee. Publisher Copyright: © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

PY - 2018/1

Y1 - 2018/1

N2 - We study compactifications of the 6d E-string theory, the theory of a small E8 instanton, to four dimensions. In particular we identify N=1 field theories in four dimensions corresponding to compactifications on arbitrary Riemann surfaces with punctures and with arbitrary non-abelian flat connections as well as fluxes for the abelian sub-groups of the E8 flavor symmetry. This sheds light on emergent symmetries in a number of 4d N=1 SCFTs (including the ‘E7 surprise’ theory) as well as leads to new predictions for a large number of 4-dimensional exceptional dualities and symmetries.

AB - We study compactifications of the 6d E-string theory, the theory of a small E8 instanton, to four dimensions. In particular we identify N=1 field theories in four dimensions corresponding to compactifications on arbitrary Riemann surfaces with punctures and with arbitrary non-abelian flat connections as well as fluxes for the abelian sub-groups of the E8 flavor symmetry. This sheds light on emergent symmetries in a number of 4d N=1 SCFTs (including the ‘E7 surprise’ theory) as well as leads to new predictions for a large number of 4-dimensional exceptional dualities and symmetries.

KW - E-string theory

KW - superconformal field theory

UR - http://www.scopus.com/inward/record.url?scp=85036501239&partnerID=8YFLogxK

U2 - 10.1002/prop.201700074

DO - 10.1002/prop.201700074

M3 - Article

AN - SCOPUS:85036501239

SN - 0015-8208

VL - 66

JO - Fortschritte der Physik

JF - Fortschritte der Physik

IS - 1

M1 - 1700074

ER -

E-String Theory on Riemann Surfaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this