Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4

Abstract

In this paper, we explicitly construct a series of projectors on integral noncommutative orbifold $T^2/Z_4$ by extended $GHS$ constrution. They include integration of two arbitary functions with $Z_4$ symmetry. Our expressions possess manifest $Z_4$ symmetry. It is proved that the expression include all projectors with minimal trace and in their standard expansions, the eigen value functions of coefficient operators are continuous with respect to the arguments $k$ and $q$. Based on the integral expression, we alternately show the derivative expression in terms of the similar kernal to the integral one.Since projectors correspond to soliton solutions of the field theory on the noncommutative orbifold, we thus present a series of corresponding solitons.

18 pages, no figure; referrences added

References in corpus (26)

• Noncommutative Field Theory
• Noncommutative Perturbative Dynamics
• Tachyon Condensation on the Brane Antibrane System
• D-branes and Deformation Quantization
• Noncommutative Solitons
• The IR/UV Connection in the Non-Commutative Gauge Theories
• An Introduction to Noncommutative Spaces and their Geometry
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Quantum Hall Effect in Higher Dimensions
• Solitons in Noncommutative Gauge Theory
• Komaba Lectures on Noncommutative Solitons and D-Branes
• Flux tube solutions in noncommutative gauge theories
• How Bob Laughlin Tamed the Giant Graviton from Taub-NUT space
• Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory
• Collective excitations at the boundary of a 4D quantum Hall droplet
• Non-commutative geometry of 4-dimensional quantum Hall droplet
• Realizing the Quantum Hall System in String Theory
• On Exact Noncommutative BPS Solitons
• Noncommutative Solitons on Orbifolds
• D-brane Dynamics and the Quantum Hall Effect
• Projections in Rotation Algebras and Theta Functions
• A Two Fluid Description of the Quantum Hall Soliton
• Elliptic Algebra and Integrable Models for Solitons on Noncummutative Torus $\mathcal{T}$
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Structure and Representation Theory for Double Group of Four-Dimensional Cubic Group
• Soliton on Noncommutative Orbifold $T^2/Z_k$

Cited by in corpus (1)

• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4