Institute for Mathematical Physics the Fuzzy Supersphere the Fuzzy Supersphere

نویسندگان

  • H. Grosse
  • G. Reiter
چکیده

We introduce the fuzzy supersphere as sequence of nite-dimensional, noncommu-tative Z 2-graded algebras tending in a suitable limit to a dense subalgebra of the Z 2-graded algebra of H 1-functions on the (2j2)-dimensional supersphere. Noncom-mutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the super-deRham cohomology of the supersphere and the ordinary deRham cohomology of its body on the \fuzzy level".

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

The Fuzzy Supersphere

We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative Z2-graded algebras tending in a suitable limit to a dense subalgebra of the Z2-graded algebra of H∞-functions on the (2|2)-dimensional supersphere. Noncommutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the superde...

متن کامل

Note on Gauge Theory on Fuzzy Supersphere

We construct a supermatrix model whose classical background gives two-dimensional noncommutative supersphere. Quantum fluctuations around it give the supersymmetric gauge theories on the fuzzy supersphere constructed by Klimcik. This model has a parameter β which can tune masses of the particles in the model and interpolate various supersymmetric gauge theories on sphere.

متن کامل

ar X iv : m at h - ph / 9 80 40 13 v 1 2 1 A pr 1 99 8 The Fuzzy Supersphere

We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommu-tative Z 2-graded algebras tending in a suitable limit to a dense subalgebra of the Z 2-graded algebra of H ∞-functions on the (2|2)-dimensional supersphere. Noncom-mutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the su...

متن کامل

The Star Product on the Fuzzy Supersphere

The fuzzy supersphere S (2,2) F is a finite-dimensional matrix approximation to the supersphere S incorporating supersymmetry exactly. Here the ⋆-product of functions on S (2,2) F is obtained by utilizing the OSp(2, 1) coherent states. We check its graded commutative limit to S and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric s...

متن کامل

Gauge Theory on Noncommutative Supersphere from Supermatrix Model

We construct a supermatrix model which has a classical solution representing the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the classical background, we obtain a gauge theory on a noncommutative superspace on sphere. This theory has osp(1|2) supersymmetry and u(2L+1|2L) gauge symmetry. We also discuss a commutative limit of the model keeping radius of the supersphere...

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 1999