Obstruction to D-brane topology change

Details Obstruction to D-brane topology change Obstruction to D-brane topology change

2002-07-05

arxiv.org/abs/hep-th/0207052v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, 1 figure, typos corrected and references added

Scientific paper

A study of the relation between topology change, energy and Lie algebra representations for fuzzy geometry in connection to $M$-theory is presented. We encounter two different types of topology change, related to the different features of the Lie algebra representations appearing in the matrix models of $M$-theory. From these studies, we propose a new method of obtaining non-commutative solutions for the non-Abelian $D$-brane action found by Myers. This mechanism excludes one of the two topology changing processes previously found in other non-commutative solutions of many matrix-based models in $M$-theory i.e. in M(atrix) theory, Matrix string theory and non-Abelian $D$-brane physics.

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