Super Chern-Simons Quantum Mechanics

Dynamical ( super ) symmetry vacuum properties of the supersymmetric Chern - Simons - matter model

Maxwell Chern Simons Theory in a Geometric Representation

We quantize the Maxwell Chern Simons theory in a geometric representation that generalizes the Abelian Loop Representation of Maxwell theory. We find that in the physical sector, the model can be seen as the theory of a massles scalar field with a topological interaction that enforces the wave functional to be multivalued. This feature allows to relate the Maxwell Chern Simons theory with the q...

Asymptotic Conformal Invariance in a Non-Abelian Chern-Simons-Matter Model

One shows here the existence of solutions to the Callan-Symanzik equation for the non-Abelian SU(2) Chern-Simons-matter model which exhibits asymptotic conformal invariance to every order in perturbative theory. The conformal symmetry in the classical domain is shown to hold by means of a local criteria based on the trace of the energy-momentum tensor. By using the recently exhibited regimes fo...

Instantons, Fermions and Chern-Simons Terms

In five spacetime dimensions, instantons are finite energy, solitonic particles. We describe the dynamics of these objects in the presence of a Chern-Simons interaction. For U(N) instantons, we show that the 5d Chern-Simons term induces a corresponding Chern-Simons term in the ADHM quantum mechanics. For SU(N) instantons, we provide a description in terms of geodesic motion on the instanton mod...

Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid

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...