Fixed-topology solutions in the Myers effect

Physics

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Nonperturbative Techniques, String Field Theory, Noncommutative Geometry

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 representation 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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