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Mathematical Physics Seminar - Hersh Singh, PhD; Fermilab
Sep 24, 2024
02:30 PM - 03:30 PM
30 North Dubuque Street, Iowa City, IA 52242
The Atiyah-Patodi-Index Theorem for Staggered Fermions
Hersh Singh, PhD; Fermilab
The Atiyah-Patodi-Singer (APS) index theorem, a generalization of the Atiyah-Singer index theorem to manifolds with boundary, plays a central role in understanding anomaly inflow for fermionic topological phases. In this talk, I will present a "physics" derivation of the APS index theorem for Kahler-Dirac (KD) fermions, which are of growing interest in lattice gauge theory due to their potential use in constructing lattice chiral gauge theories. Using a recent extension of Fujikawa's method to manifolds with boundary, we will discuss how the two distinct chiral symmetries of KD fermions and their anomalies are connected to the Gauss-Bonnet theorem and the Hirzebruch signature theorems, and shed light on the nature of their boundary contributions.
Anyone wishing to participate virtually may join via Zoom - https://uiowa.zoom.us/j/99570315915
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