Abstract

We consider a known sequence of dualities involving 4d mathcal{N} = 1 theories with Spin(n) gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement. Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the 4d sequence of models along with their symmetry enhancements, and put them to several consistency checks.

Highlights

  • We review some of the ingredients and previous results needed for the analysis in this paper

  • We consider a known sequence of dualities involving 4d N = 1 theories with Spin(n) gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement

  • That we have found the 6d theories, we conjecture that the combined effect of compactifying them on a torus with fluxes and adding an appropriate relevant deformation yields the expected 4d theories in which the SU(2n) part of the 6d global symmetry is broken to SU(n)2 × U(1) (and in the n = 2 case one of the SU(2)s is further broken to U(1)) and the E9−n part is broken to the commutant of SU(2) in it

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Summary

Background

We review some of the ingredients and previous results needed for the analysis in this paper. We begin in subsection 2.1 with a review of the superconformal index and its properties that will be used repeatedly in later sections. We continue in subsection 2.2 with recalling some of the results presented recently in [4] which will be relevant for our discussion

The superconformal index
Compactification from six dimensions
Five dimensional analysis
Aspects of the reduction
A Index calculation in detail
S4C2 S 2 C 2 ψF0 C2 ψF0 2 ψF1 ψF0 2 S2ψF1 ψF0 S4ψF1
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