6D SCFTs and phases of 5D theories

Michele Zotto (Simons Center for Geometry and Physics, Stony Brook, NY, 11794, U.S.A.) ; Jonathan Heckman (Department of Physics, University of North Carolina, Chapel Hill, NC, 27599, U.S.A.) ; David Morrison (Department of Physics, University of California Santa Barbara, Santa Barbara, CA, 93106, U.S.A.; Department of Mathematics, University of California Santa Barbara, Santa Barbara, CA, 93106, U.S.A.)

Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points. Using the correspon-dence between F-theory reduced on a circle and M-theory on the corresponding elliptically fibered Calabi-Yau threefold, we show that each 6D SCFT with minimal supersymmetry directly reduces to a collection of between one and four 5D SCFTs. Additionally, we find that in most cases, reduction of the tensor branch of a 6D SCFT yields a 5D generalization of a quiver gauge theory. These two reductions of the theory often correspond to different phases in the 5D theory which are in general connected by a sequence of flop transitions in the extended Kähler cone of the Calabi-Yau threefold. We also elaborate on the structure of the resulting conformal fixed points, and emergent flavor symmetries, as realized by M-theory on a canonical singularity.

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      "source": "Springer/SISSA", 
      "value": "Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points. Using the correspon-dence between F-theory reduced on a circle and M-theory on the corresponding elliptically fibered Calabi-Yau threefold, we show that each 6D SCFT with minimal supersymmetry directly reduces to a collection of between one and four 5D SCFTs. Additionally, we find that in most cases, reduction of the tensor branch of a 6D SCFT yields a 5D generalization of a quiver gauge theory. These two reductions of the theory often correspond to different phases in the 5D theory which are in general connected by a sequence of flop transitions in the extended K\u00e4hler cone of the Calabi-Yau threefold. We also elaborate on the structure of the resulting conformal fixed points, and emergent flavor symmetries, as realized by M-theory on a canonical singularity."
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Published on:
28 September 2017
Publisher:
Springer/SISSA
Published in:
Journal of High Energy Physics (2017)

DOI:
https://doi.org/10.1007/JHEP09(2017)147
arXiv:
1703.02981
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: