Zeroenergy states in supermembrane matrix models
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Mathematics and Applications of Branes in String and Mtheory
We review recent progress concerning the mathematical problem of determining existence, uniqueness, and structure of zeroenergy states in supermembrane matrix models, relevant for the quantum mechanical description of relativistic membranes, reduced YangMills theory, and Mtheory. Different approaches to this problem involve octonionic deformations, averaging of simpler subsystems, as well as a welldefined Witten index counting the number of weakly decaying zeroenergy states.
This talk is part of the Isaac Newton Institute Seminar Series series.
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