4D gauge theories with conformal matter

Journal of High Energy Physics, Sep 2018

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.

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4D gauge theories with conformal matter

Journal of High Energy Physics September 2018, 2018:88 | Cite as 4D gauge theories with conformal matter AuthorsAuthors and affiliations Fabio ApruzziJonathan J. HeckmanDavid R. MorrisonLuigi Tizzano Open Access Regular Article - Theoretical Physics First Online: 17 September 2018 Received: 04 April 2018 Accepted: 04 September 2018 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. Keywords F-Theory Supersymmetric Gauge Theory Brane Dynamics in Gauge Theories Conformal Field Models in String Theory  ArXiv ePrint: 1803.00582 Download to read the full article text Notes Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. References [1] E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [INSPIRE].ADSMathSciNetzbMATHCrossRefGoogle Scholar [2] E. Witten, Some comments on string dynamics, in Future perspectives in string theory. Proceedings, Conference, Strings’95, Los Angeles, U.S.A., March 13–18, 1995, pp. 501–523, hep-th/9507121 [INSPIRE]. [3] A. Strominger, Open p-branes, Phys. Lett. B 383 (1996) 44 [hep-th/9512059] [INSPIRE].ADSMathSciNetzbMATHCrossRefGoogle Scholar [4] N. 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Lett. 4 (1997) 157.ADSMathSciNetzbMATHCrossRefGoogle Scholar Copyright information © The Author(s) 2018 Authors and Affiliations Fabio Apruzzi12Email authorJonathan J. Heckman1David R. Morrison34View author's OrcID profileLuigi Tizzano51.Department of Physics and AstronomyUniversity of PennsylvaniaPhiladelphiaU.S.A.2.Department of PhysicsUniversity of North CarolinaChapel HillU.S.A.3.Department of MathematicsUniversity of California Santa BarbaraSanta BarbaraU.S.A.4.Department of PhysicsUniversity of California Santa BarbaraSanta BarbaraU.S.A.5.Department of Physics and AstronomyUppsala UniversityUppsalaSweden


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Fabio Apruzzi, Jonathan J. Heckman, David R. Morrison, Luigi Tizzano. 4D gauge theories with conformal matter, Journal of High Energy Physics, 2018, 88, DOI: 10.1007/JHEP09(2018)088