4d $\mathcal{N}=3$ indices via discrete gauging - INSPIRE

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4d $\mathcal{N}=3$ indices via discrete gauging

Apr 15, 2018

35 pages

Published in:

JHEP 10 (2018) 131

Published: Oct 19, 2018

e-Print:

1804.05396 [hep-th]

DOI:

10.1007/JHEP10(2018)131

Report number:

DESY-18-050

View in:

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Abstract: (Springer)

A class of 4d

\mathcal{N}=3

SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of

\mathcal{N}=4

Super Yang-Mills theory. This discrete subgroup contains elements of both the SU(4) R-symmetry group and the SL(2, ℤ) S-duality group of

\mathcal{N}=4

SYM. We give a prescription for how to perform the discrete gauging at the level of the superconformal index and Higgs branch Hilbert series. We interpret and match the information encoded in these indices to known results for rank one

\mathcal{N}=3

theories. Our prescription is easily generalised for the Coulomb branch and the Higgs branch indices of higher rank theories, allowing us to make new predictions for these theories. Most strikingly we find that the Coulomb branches of higher rank theories are generically not-freely generated.

Note:

34 pages

Discrete Symmetries
Extended Supersymmetry
Supersymmetric Gauge Theory
Global Symmetries
symmetry: global
gauge field theory: Yang-Mills
supersymmetry: 3
R symmetry
S-duality
field theory: conformal

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Figures(0)

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