4D gauge theories with conformal matter

Fabio Apruzzi, Jonathan Heckman, David R. Morrison, Luigi Tizzano

Research output: Contribution to journalArticle

Abstract

One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a partial tensor branch, all known theories resemble quiver gauge theories with links comprised of 6D conformal matter, a generalization of weakly coupled hypermultiplets. In this paper we construct 4D quiverlike gauge theories in which the links are obtained from compactifications of 6D conformal matter on Riemann surfaces with flavor symmetry fluxes. This includes generalizations of super QCD with exceptional gauge groups and quarks replaced by 4D conformal matter. Just as in super QCD, we find evidence for a conformal window as well as confining gauge group factors depending on the total amount of matter. We also present F-theory realizations of these field theories via elliptically fibered Calabi-Yau fourfolds. Gauge groups (and flavor symmetries) come from 7-branes wrapped on surfaces, conformal matter localizes at the intersection of pairs of 7-branes, and Yukawas between 4D conformal matter localize at points coming from triple intersections of 7-branes. Quantum corrections can also modify the classical moduli space of the F-theory model, matching expectations from effective field theory.

LanguageEnglish (US)
Article number88
JournalJournal of High Energy Physics
Volume2018
Issue number9
DOIs
StatePublished - Sep 1 2018

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gauge theory
intersections
quantum chromodynamics
symmetry
confining
tensors
quarks

Keywords

  • Brane Dynamics in Gauge Theories
  • Conformal Field Models in String Theory
  • F-Theory
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

4D gauge theories with conformal matter. / Apruzzi, Fabio; Heckman, Jonathan; Morrison, David R.; Tizzano, Luigi.

In: Journal of High Energy Physics, Vol. 2018, No. 9, 88, 01.09.2018.

Research output: Contribution to journalArticle

Apruzzi, Fabio ; Heckman, Jonathan ; Morrison, David R. ; Tizzano, Luigi. / 4D gauge theories with conformal matter. In: Journal of High Energy Physics. 2018 ; Vol. 2018, No. 9.
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