String theory and loop space index theorems
type: Item
instance of: scholarly article
title: String theory and loop space index theorems
zbMATH Open document ID: 0627.58033
DOI: 10.1007/BF01239011
author: Orlando Alvarez
author: Timothy Killingback
author: Michelangelo L. Mangano
author: Paul Windey
published in: Communications in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: We study index theorems for the Dirac-Ramond operator on a compact Riemannian manifold. The existence of a group action on the loop space makes possible the definition of a character valued index which we calculate by using a two-dimensional sigma model with \(N=1/2\) supersymmetry. We compute the Euler characteristic, the Hirzebruch signature and the Dirac-Ramond genus of loop space. We compare our results to the calculations made by using the Atiyah-Singer character- valued index theorem.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 58J20
zbMATH DE Number: 4020059
zbMATH Keywords: index theorems
zbMATH Keywords: Dirac-Ramond operator
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01239011
OpenAlex ID: W2042624943
description: scientific article; zbMATH DE number 4020059