Deformed Nahm Equation and a Noncommutative BPS Monopole

نویسنده

  • Dongsu Bak
چکیده

A deformed Nahm equation for the BPS equation in the noncommutative N=4 supersymmetric U(2) Yang-Mills theory is obtained. Using this, we constructed explicitly a monopole solution of the noncommutative BPS equation to the linear order of the noncommutativity scale. We found that the leading order correction to the ordinary SU(2) monopole lies solely in the overall U(1) sector and that the overall U(1) magnetic field has an expected long range component of magnetic dipole moment.

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

ADHM/Nahm Construction of Localized Solitons Noncommutative Gauge Theories

We study the relationship between ADHM/Nahm construction and “solution generating technique” of BPS solitons in noncommutative gauge theories. ADHM/Nahm construction and “solution generating technique” are the most strong ways to construct exact BPS solitons. Localized solitons are the solitons which are generated by the “solution generating technique.” The shift operators which play crucial ro...

متن کامل

ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories

We study the relationship between ADHM/Nahm construction and “solution generating technique” of BPS solitons in noncommutative gauge theories. ADHM/Nahm construction and “solution generating technique” are the most strong ways to construct exact BPS solitons. Localized solitons are the solitons which are generated by the “solution generating technique.” In “solution generating technique,” shift...

متن کامل

Periodic Monopoles

This paper deals with static BPS monopoles in three dimensions which are periodic either in one direction (monopole chains) or two directions (monopole sheets). The Nahm construction of the simplest monopole chain is implemented numerically, and the resulting family of solutions described. For monopole sheets, the Nahm transform in the U(1) case is computed explicitly, and this leads to a descr...

متن کامل

A q-analogue of Nahm’s formalism for self-dual gauge fields

We present a q-analogue of Nahm’s formalism for the BPS monopole, which gives self-dual gauge fields with a deformation parameter q. The theory of the basic hypergeometric series is used in our formalism. In the limit q → 1 the gauge fields approach the BPS monopole and Nahm’s result is reproduced. keywords: ADHM, Nahm, self dual, q-analogue, basic hypergeometric series e-mail address: nkamata@...

متن کامل

Noncommutative Monopoles and Riemann-Hilbert Problems

The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative R and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-mon...

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