Supersymmetry in noncommutative superspaces

نویسندگان

  • S. Ferrara
  • M. A. Lledó
چکیده

Non commutative superspaces can be introduced as the MoyalWeyl quantization of a Poisson bracket for classical superfields. Different deformations are studied corresponding to constant background fields in string theory. Supersymmetric and non supersymmetric deformations can be defined, depending on the differential operators used to define the Poisson bracket. Some examples of deformed, 4 dimensional lagrangians are given. For extended superspace (N > 1), some new deformations can be defined, with no analogue in the N = 1 case.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Twistors and Supersymmetry

An overview is given of the application of twistor geometric ideas to supersymmetry with particular emphasis on the construction of superspaces associated with fourdimensional spacetime. Talk given at the Leuven Conference on High Energy Physics, July 1995. Permanent address: Dept. of Mathematics, King’s College, London

متن کامل

Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces

We outline the the geometry of locally anisotropic (la) superspaces and la–supergravity. The approach is backgrounded on the method of anholonomic superframes with associated nonlinear connection structure. Following the formalism of enveloping algebras and star product calculus we propose a model of gauge la–gravity on noncommutative spaces. The corresponding Seiberg–Witten maps are establishe...

متن کامل

Lorentz covariance , higher - spin superspaces and self - duality 1

Lorentz covariant generalisations of the notions of supersymmetry, superspace and selfduality are discussed. The essential idea is to extend standard constructions by allowing tangent vectors and coordinates which transform according to more general Lorentz representations than solely the spinorial and vectorial ones of standard lore. Such superspaces provide model configuration spaces for theo...

متن کامل

Supersymmetric Lorentz-covariant Hyperspaces and Self-duality Equations in Dimensions Greater than (4|4)

We generalise the notions of supersymmetry and superspace by allowing generators and coordinates transforming according to more general Lorentz representations than the spinorial and vectorial ones of standard lore. This yields novel SO(3,1)-covariant superspaces, which we call hyperspaces, having dimensionality greater than (4|4) of traditional super-Minkowski space. As an application, we cons...

متن کامل

Supersymmetry on the Noncommutative Lattice

Built upon the proposal of Kaplan et.al. [hep-lat/0206109], we construct noncommutative lattice gauge theory with manifest supersymmetry. We show that such theory is naturally implementable via orbifold conditions generalizing those used by Kaplan et.al. We present the prescription in detail and illustrate it for noncommutative gauge theories latticized partially in two dimensions. We point out...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008