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Zero-energy states in supermembrane matrix models

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Mathematics and Applications of Branes in String and M-theory

We review recent progress concerning the mathematical problem of determining existence, uniqueness, and structure of zero-energy states in supermembrane matrix models, relevant for the quantum mechanical description of relativistic membranes, reduced Yang-Mills theory, and M-theory. Different approaches to this problem involve octonionic deformations, averaging of simpler subsystems, as well as a well-defined Witten index counting the number of weakly decaying zero-energy states.

This talk is part of the Isaac Newton Institute Seminar Series series.

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