By taking into account the effect of the would be Chern-Simons term, we calculate the quantum correction to the Chern-Simons coefficient in supersymmetric Chern-Simons Higgs theories with matter fields in the fundamental representation of SU(n). Because of supersymmetry, the corrections in the symmetric and Higgs phases are identical. In particular, the correction is vanishing for N = 3 supersy...

Motivated by a recent paper of Fock and Rosly 6] we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which reproduces the results of the continuous theory exactly. The lattice model enjoys the symmetry with respect to a quantum gauge group. Using this fact we construct the algebra of observables of the Ham...

We construct PCT-invariant Maxwell-Chern-Simons gauge theory coupled to fermions with adding the parity partner to the matter and the gauge fields, which can give nontopological vortex solutions depending on the sign of the Chern-Simons coupling constant.

We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental , antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons action showing in particular that the Seiberg-Witten formula maps it into the standard commutative Chern-Simons action. Recent results in noncommutative geom...

background : this study aimed to compare three staining methods including: calcofluor white, chromotrope and quick hot gram chromotrope used in diagnosis of intestinal microsporidial spores . methods : one hundred and seventy five stool specimens were collected from patients referred to laboratory of intestinal protozoology at the school of public health, tehran university of medical sciences d...

Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is examined. It is demonstrated by explicit calculation that, in the pure ChernSimons theory, the beta-function for the coefficient of the Chern-Simons term vanishes to three loop order. Both dimensional regularization and regularization by introducing a conventional Yang-Mills component in the action are used. It is shown ...

We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M . By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M , various objects and symmetries in Chern-Simons theory become related to objects and operations in dual 2d, 3d, and 4d theories. For example, the space of flat SL(2,C) connections on M is identified with the space of...