Jose Miguel FigueroaO'farrill

Last Update 2022/11/21
My research may be described as an exploration of the mathematical landscape of Mtheory. Much of it deals with supersymmetry, which can be understood as adding extra quantum dimensions to spacetime. The bulk of my work touches upon the gauge/gravity correspondence, most recently on the one associated to M2branes, whose understanding might shed light on one of the outstanding problems in string theory: to nd a formulation of elevendimensional Mtheory. Currently I am involved in a research programme based on a recent proposal for a nonabelian theory of membranes. The current view is that membranes are described by threedimensional superconformal ChernSimons theories, which can be formulated in terms of somewhat exotic mathematical objects known as 3algebras. Together with my collaborators I have obtained a number of structure results about these objects and continue to apply them to the study of the superconformal theories.
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