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

SpeakerOnkar Parrikar (Illinois)
Date Sep 12, 2013
Time 12:30 pm  
Location 464 Loomis Lab
Sponsor Department of Physics
Contact Becky McDuffee
Phone 217-244-4268
Event type Other
Views 1051

"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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