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Title: 6d $$ \mathcal{N}=\left(1,\;0\right) $$ theories on S1/T2 and class S theories: part II

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [2];  [3]
  1. Univ. of Tokyo, Tokyo (Japan)
  2. Univ. of Tokyo, Tokyo (Japan); Univ. of Tokyo, Chiba (Japan)
  3. Univ. of Tokyo, Chiba (Japan); Institute for Advanced Study, Princeton, NJ (United States)
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Here, we study the T2 compactification of a class of 6d $$ \mathcal{N}=\left(1,\;0\right) $$ theories that is Higgsable to $$ \mathcal{N}=\left(2,\;0\right) $$ theories. We show that the resulting 4d N=2 theory at the origin of the Coulomb branch and the parameter space is generically given by two superconformal matter sectors coupled by an infrared-free gauge multiplet and another conformal gauge multiplet. Our analysis utilizes the 5d theories obtained by putting the same class of 6d theories on S1. Our class includes, among others, the 6d theories describing multiple M5 branes on an ALE singularity, and we analyze them in detail. The resulting 4d theory has manifestly both the SL(2,Z) and the full flavor symmetry. We also discuss in detail the special cases of 6d theories where the infrared-free gauge multiplet is absent. In an appendix, we give a field-theoretical argument for an F-theoretic constraint that forbids a particular 6d anomaly-free matter content, as an application of our analysis.

Research Organization:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009988
OSTI ID:
1435147
Journal Information:
Journal of High Energy Physics (Online), Vol. 2015, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 73 works
Citation information provided by
Web of Science

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S 1 /T 2 compactifications of 6d N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ theories and brane webs journal March 2016

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Supersymmetric gauge theory
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Field Theories in Higher Dimensions