Moduli space of vacua of supersymmetric Chern-Simons theories and type IIB branes
Apr, 199917 pages
Published in:
- JHEP 06 (1999) 025
e-Print:
- hep-th/9904118 [hep-th]
Report number:
- YITP-99-23
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Abstract: (arXiv)
We study the correspondence between the moduli space of vacua of three-dimensional supersymmetric Yang-Mills (Maxwell) Chern-Simons theories and brane configurations with (p,q)5-brane. For Coulomb branches, the number of the massless adjoint scalar fields in various supersymmetric theories exactly coincides with the number of the freely moving directions of D3-branes stretched between two 5-branes. When we include a matter superfield into the supersymmetric Chern-Simons theory two distinct symmetric and asymmetric phase appear. The symmetric phase is peculiar to this Chern-Simons Higgs system. We find the corresponding brane configuration for these phases. We also identify the stringy counterpart of the topological vortex state in the asymmetric phase.- Chern-Simons term
- dimension: 3
- supersymmetry
- gauge field theory: SU(N)
- membrane model
- vacuum state
- moduli space
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