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Topology, Algebraic Geometry, and Dynamics Seminar (TADS): The Rarita-Schwinger Operator, from Index Theory to Gauge Theory

Nov 17, 2023, 1:30 - 2:30 PM

 

Speaker:  Ahmad R.H.S. Sadegh, Northeastern University

Title:  The Rarita-Schwinger Operator, from Index Theory to Gauge Theory

Abstract:  The bundle of 3/2-spinors is the subbundle of spinors twisted with the tangent bundle, obtained as the kernel of Clifford action. The contraction of the twisted Dirac operator to the bundle of 3/2-spinors is called the Rarita-Schwinger operator. This operator is not a Dirac-type operator but shares many properties with Dirac operators, such as having a Weitzenbock-type formula. We discuss some index theoretic and gauge theoretic aspects of this operator.

 

Time:  Friday, November 17, 1:30pm – 2:30pm

Place:  Exploratory Hall, room L111