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Phases of 5d SCFTs from M-/F-theory on non-flat fibrations

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];
  1. Univ. of Oxford (United Kingdom); DOE/OSTI
  2. Univ. of Pennsylvania, Philadelphia, PA (United States)
+ Show Author Affiliations
We initiate the systematic investigation of non-flat resolutions of non-minimal singularities in elliptically fibered Calabi-Yau threefolds. Compactification of M-theory on these geometries provides an alternative approach to studying phases of five-dimensional superconformal field theories (5d SCFTs). We argue that such resolutions capture non-trivial holonomies in the circle reduction of the 6d conformal matter theory that is the F-theory interpretation of the singular fibration. As these holonomies become mass deformations in the 5d theory, non-flat resolutions furnish a novel method in the attempt to classify 5d SCFTs through 6d SCFTs on a circle. A particularly pleasant aspect of this proposal is the explicit embedding of the 5d SCFT’s enhanced flavor group inside that of the parent 6d SCFT, which can be read off from the geometry. We demonstrate these features in toric examples which realize 5d theories up to rank four.
Research Organization:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0013528
OSTI ID:
1612001
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (4)

5d superconformal field theories and graphs journal January 2020
Exact results for 5d SCFTs of long quiver type journal November 2019
Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities journal November 2019
Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d journal December 2019

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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