• Corpus ID: 1279238

Twisted Bundle on Noncommutative Space and U(1) Instanton

@article{Ho2000TwistedBO,
title={Twisted Bundle on Noncommutative Space and U(1) Instanton},
author={Pei-Ming Ho},
journal={arXiv: High Energy Physics - Theory},
year={2000}
}
• P. Ho
• Published 2 March 2000
• Mathematics
• arXiv: High Energy Physics - Theory
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.
22 Citations
Non-singular instantons are shown to exist on noncommutative R 4 even in U(1) gauge theory. Their existence is primarily due to the noncommutativity of the coordinates. The integer instanton number
Abstract: Projections play crucial roles in the ADHM construction on noncommutative ℝ4. In this article a framework for the description of equivalence relations between projections is proposed. We
• Mathematics, Physics
• 2000
Abstract. An enveloping algebra-valued gauge field is constructed, its components are functions of the Lie algebra-valued gauge field and can be constructed with the Seiberg-Witten map. This allows
• Physics
• 2001
Coincident D2-branes in open N = 2 fermionic string theory with a B-field background yield an integrable modified U(n) sigma model on noncommutative 2,1. This model provides a showcase for an
In the case of an invertible coordinate commutator matrix θij, we derive a general instanton solution of the noncommutative gauge theories on d = 2n planes given in terms of n oscillators.
• Mathematics
• 2001
We employ the twistor approach to the construction of U(2) multi-instantons a la 't Hooft on non-commutative 4. The non-commutative deformation of the Corrigan-Fairlie-'t Hooft-Wilczek ansatz is
• Mathematics
• 2001
Projector equivalences used in the definition of the K-theory of operator algebras are shown to lead to generalizations of the solution generating technique for solitons in NC field theories, which
We show that the fluxon solution of the non-commutative gauge theory and its variations are obtained by the soliton generation method recently given by J. A. Harvey, P. Kraus and F. Larsen
This thesis focuses on noncommutative instantons and monopoles and study various aspects of the exact solutions by using Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions, and proposes noncommuter extensions of integrable systems and soliton theories in lower dimensions in collaboration with Kouichi Toda.

References

SHOWING 1-10 OF 19 REFERENCES

• Physics, Mathematics
• 1998
Abstract:We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of
• Mathematics
• 1997
We study toroidal compactification of Matrix theory, using ideas and results of noncommutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification
• Mathematics
• 1999
Noncommutative torus compactification of Matrix model is shown to be a direct consequence of quantization of the open strings attached to a D-membrane with a non-vanishing background B field. We
• Mathematics
• 1999
A review of the applications of noncommutative geometry to a systematic formulation of duality symmetries in string theory is presented. The spectral triples associated with a lattice vertex operator
In this note we explain how world-volume geometries of D-branes can be reconstructed within the microscopic framework where D-branes are described through boundary conformal field theory. We extract
• Mathematics
• 1998
We present a general framework for matrix theory compactified on a quotient space ${\mathbf{R}}^{n}/\ensuremath{\Gamma},$ with \ensuremath{\Gamma} a discrete group of Euclidean motions in