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A-Genus and the Sigma Model

1994/06/04 by K. Davis, Kelly Jay Davis, Davis, Kelly Jay
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9406023

16 Pages

arxiv created 1994/06/04 · openalex publication_date 1994/06/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This set of lecture notes presents a pedantic derivation of the connection between the A -genus of spacetime's loop space and the genus one partition function of the N=1/2 sigma model. It concludes with some remarks on possible generalizations of the A -genus which follow naturally from the `stringy' point-of-view but have yet to be explored mathematically. This set of lecture notes is geared towards a mathematical audience unfamiliar with the N=1/2 sigma model.

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