Compactifications of ADE conformal matter on a torus

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

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study compactifications of ADE type conformal matter, N M5 branes probing ADE singularity, on torus with flux for global symmetry. We systematically construct the four dimensional theories by first going to five dimensions and studying interfaces. We claim that certain interfaces can be associated with turning on flux in six dimensions. The interface models when compactified on a circle comprise building blocks for constructing four dimensional models associated to flux compactifications of six dimensional theories on a torus. The theories in four dimensions turn out to be quiver gauge theories and the construction implies many interesting cases of IR symmetry enhancements and dualities of such theories.

Original languageEnglish
Article number110
JournalJournal of High Energy Physics
Volume2018
Issue number9
DOIs
StatePublished - 1 Sep 2018
Externally publishedYes

Bibliographical note

Funding Information:
We 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. HK is supported in part by the National Research Foundation of Korea (NRF) Grant 2018R1D1A1-B07042934. GZ is supported in part by World Premier International Research Center Initiative (WPI), MEXT, Japan. The research of SSR was supported by Israel Science Foundation under grant no. 1696/15 and by I-CORE Program of the Planning and Budgeting Committee.

Publisher Copyright:
© 2018, The Author(s).

Keywords

  • Duality in Gauge Field Theories
  • Field Theories in Higher Dimensions
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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