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- Title
Nonantikomutatif N=1/2 süpersimetrik ayar teorisi.
- Authors
Kelleyane-Özharar, Lara T.; Dayi, Ömer Faruk
- Abstract
The idea behind the consideration of a noncommutative spacetime was to introduce an effective ultraviolet cutoff. However this view doesn't hold anymore. Instead it is hoped that with the help of the dynamics of the noncommutative field theories the underlying geometry of string theory will be better understood. String theory with D-branes solved in the presence of a Neveu-Schwarz-Neveu-Schwarz background field leads to noncommutative coordinates. Noncommutativity may be introduced through the following star product which is the deformation of multiplication of functions in space-time: f(x)⋆g(x)=f(x)exp(1/2∂←xθij∂→y)g(x).Here θij is the antisymmetric noncommutativity parameter. Another notion that we will use in this work is supersymmetry. By definition supersymmetry is a symmetry between fermions and bosons. Using the supersymmetry generators Q we can express this in the following way: Q |boson> = Q |fermion> Q |fermion> = Q |boson> N=1 supersymmetric field theories are the best candidates for a generalization of the standard model of the elementary particles. It is useful to construct supersymmetric field theories in superspace formalism. A superfield is defined as a function in superspace which is parametrized by (xμ,θα,θ¯α) coordinates (μ=0,1,2,3 and α,α˙ =1,2). Here θα and θ¯α are anticommutative Weyl spinors which satisfy the following anticommutation relations: {θα,θβ}={θ¯α,θ¯β˙={θα,θ¯α˙}=0. D-branes are hypersurfaces on which open strings can end. In a certain low energy limit the string dynamics on the world volume of the D-brane is defined by the Yang-Mills fields.…
- Subjects
SUPERSYMMETRY; SYMMETRY (Physics); GAUGE field theory; FIELD theory (Physics); STRING models (Physics); THEORY of everything (Physics); GEOMETRY; WORLD line (Physics); SPACETIME
- Publication
ITU Journal Series C: Basic Sciences, 2009, Vol 7, Issue 1, p38
- ISSN
1303-7021
- Publication type
Article