6533b836fe1ef96bd12a0921

RESEARCH PRODUCT

Some aspects of deformations of supersymmetric field theories

Sergio FerraraM. A. Lledo

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesFísicaSupersymmetrySuperspaceTheoretical physicsHigh Energy Physics::TheoryChiral superfieldHigh Energy Physics - Theory (hep-th)Compatibility (mechanics)Mathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Gauge theoryAbelian groupMultipletCommutative propertyParticle Physics - Theory

description

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory which is the deformation of the Wess-Zumino renormalizable theory of a chiral superfield. We then consider the deformation of a free theory of an abelian vector multiplet, which is a non commutative version of the rank one Yang-Mills theory. We finally give the supersymmetric version of the $\alpha'\mapsto 0$ limit of the Born-Infeld action with a B-field turned on, which is believed to be related to the non commutative U(1) gauge theory.

10.1088/1126-6708/2000/05/008http://dx.doi.org/10.1088/1126-6708/2000/05/008