We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-LandauGinzburg theory for the supersymmetric quantum Hall liquid. Supersymmetric counterparts of topological and gauge structures peculiar to the Chern-Simons theory are inspected in the supersymmetric Chern-Simons theory. We also explore an effective field theoretical description for the supersymmetric quantum Hall l...

The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play important role in explicitly establishing the connection of Chern-Simons field theory with 2-dimensional conformal field theory. When we discuss knot invariants in terms of Chern-Simons theory [1–6] and the relationship between Ch...

We calculate the anomalous magnetic moment of the electron in the Chern-Simons theory in 2 + 1 dimensions with and without a Maxwell term, both at zero temperature as well as at finite temperature. In the case of the Maxwell-Chern-Simons (MCS) theory, we find that there is an infrared divergence, both at zero as well as at finite temperature, when the tree level Chern-Simons term vanishes, whic...

Virtual stain transfer is a promising area of research in Computational Pathology, which has great potential to alleviate important limitations when applying deep-learning-based solutions such as lack annotations and sensitivity domain shift. However, the literature, majority virtual staining approaches are trained for specific or combination, their extension unseen stainings requires acquisiti...

We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimensioneight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a line...

In this paper we establish the generalized Simons' equations satis ed by the second fundamental form of a general immersion Mp ,! Mn. We then specialize these equations to the case of an immersion with constant mean curvature (or parallel mean curvature vector) in a space form.