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Mathematics/Physics Seminar "Supersymmetric Quantum Mechanics and Index Theorems"

Event Type
Department of Physics
464 Loomis Lab
Sep 12, 2013   12:30 pm  
Onkar Parrikar (Illinois)
Originating Calendar
Physics - Mathematical and Theoretical Physics Seminar

"Anomalies are quantum violations of classical conservation laws in presence of background Electromagnetic, or Gravitational fields. In studying anomalies, we encounter asymptotic expansions of heat kernels for Dirac operators, and N=1 supersymmetric quantum mechanics turns out to be a powerful physicist's tool for computing these. Interestingly, it also provides a simple way to arrive at the Atiyah-Singer index density for the Dirac operator. In this talk, we will review some of the details about how this works for Dirac operators on curved manifolds. If time permits, we will discuss generalizations to include torsion."

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