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Garnik Alexanian Université de Montréal 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 different ways topology change can occur, depending on the different features of the Lie algebra representations appearing in the matrix models of M-theory. Following this, we propose a new method of obtaining non-commutative solutiosn for the non-Abelian D-brane action foud 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 based string theory and non-Abelian D-brane physics.
Tuesday, December 3rd 2002, 13:00 |