3 research outputs found
N=1/2 Supersymmetric gauge theory in noncommutative space
A formulation of (non-anticommutative) N=1/2 supersymmetric U(N) gauge theory
in noncommutative space is studied. We show that at one loop
UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative
and non-anticommutative superspace is employed to obtain an action in terms of
commuting fields at first order in the noncommutativity parameter tetha. This
leads to abelian and non-abelian gauge theories whose supersymmetry
transformations are local and non-local, respectively.Comment: One reference added, published versio
The HMW effect in Noncommutative Quantum Mechanics
The HMW effect in non-commutative quantum mechanics is studied. By solving
the Dirac equations on non-commutative (NC) space and non-commutative phase
space, we obtain topological HMW phase on NC space and NC phase space
respectively, where the additional terms related to the space-space and
momentum-momentum non-commutativity are given explicitly.Comment: 8 Latex page