Twisted Bundle on Noncommutative Space and U(1) Instanton

نویسنده

  • Pei-Ming Ho
چکیده

We study the notion of twisted bundles on noncommutative space. Due to the existence of projective operators in the algebra of functions on the noncommutative space, there are twisted bundles with non-constant dimension. The U(1) instanton solution of Nekrasov and Schwarz is such an example. As a mathematical motivation for not excluding such bundles, we find gauge transformations by which a bundle with constant dimension can be equivalent to a bundle with non-constant dimension.

برای دانلود رایگان 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

Noncommutative Deformation of Instantons

We construct instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R4 is preserved for general noncommutative deformations. We also study noncommutative...

متن کامل

Comments on Instantons on Noncommutative R

We study U(1) and U(2) instanton solutions on noncommutative R constructed by the noncommutative version of ADHM equation proposed by Nekrasov and Schwarz. It is pointed out that the explicit calculation of instanton number in the Hilbert space of the noncommutative R turns out to be non-integer depending on the moduli of instanton. It suggests that the instanton number in noncommutative gauge ...

متن کامل

ar X iv : h ep - t h / 02 01 19 6 v 1 2 4 Ja n 20 02 Instanton Number Calculus on Noncommutative R 4

In noncommutative spaces it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define “Instanton number” by the size of Bα in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral of Pontrjagin class (instanton charge) in the Fock s...

متن کامل

Instanton Number Calculus on Noncommutative R

In noncommutative spaces, it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define “Instanton number” by the size of Bα in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral of Pontrjagin class (instanton charge) with the Foc...

متن کامل

Topological Charge of ADHM Instanton on RNC × R

We have calculated the topological charge of U(N) instantons on non-degenerate noncommutative space time to be exactly the instanton number k in a previous paper [1]. This paper, which deals with the degenerate R NC ×R2 case, is the continuation of [1]. We find that the same conclusion holds in this case, thus complete the answer to the problem of topological charge of noncommutative U(N) insta...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000