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Bloch Waves and Fuzzy Cylinders: 1/4-BPS Solutions of Matrix Theory

Authors
  • Shepard, Peter G.
Type
Published Article
Publication Date
Nov 14, 2005
Submission Date
Oct 17, 2005
Identifiers
DOI: 10.1088/1126-6708/2006/02/003
Source
arXiv
License
Unknown
External links

Abstract

In this note, we present a broad class of quarter-BPS solutions to matrix theory, corresponding to non-commutative cylinders of arbitrary cross-sectional profile in R^8. The solutions provide a microscopic description of a general supertube configuration. Taking advantage of an analogy between a compact matrix dimension and the Hamiltonian of a 1-dimensional crystal, we use a Bloch wave basis to diagonalize the transverse matrices, finding a distribution of eigenvalues which smoothly trace the profile curve as the Bloch wave number is varied.

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