Aspects of 3d N=2 Chern-Simons-Matter Theories - INSPIRE

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Aspects of 3d N=2 Chern-Simons-Matter Theories

May 7, 2013

76 pages

Published in:

JHEP 07 (2013) 079

e-Print:

1305.1633 [hep-th]

DOI:

10.1007/JHEP07(2013)079

Report number:

UCSD-PTH-12-17

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Abstract: (arXiv)

We comment on various aspects of the the dynamics of 3d N=2 Chern-Simons gauge theories and their possible phases. Depending on the matter content, real masses and FI parameters, there can be non-compact Higgs or Coulomb branches, compact Higgs or Coulomb branches, and isolated vacua. We compute the Witten index of the theories, and show that it does not change when the system undergoes a phase transition. We study aspects of monopole operators and solitons in these theories, and clarify subtleties in the soliton collective coordinate quantization. We show that solitons are compatible with a mirror symmetry exchange of Higgs and Coulomb branches, with BPS solitons on one branch related to the modulus of the other. Among other results, we show how to derive Aharony duality from Giveon-Kutasov duality.

Note:

76 pages, 1 figure. v2: added references

soliton: BPS
symmetry: exchange
monopole: operator
symmetry: mirror
Coulomb
duality
critical phenomena
gauge field theory
Chern-Simons term
vacuum state: supersymmetry

References(82)

Figures(0)

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