String structures and the index of the Dirac-Ramond operator on orbifolds

DOI10.1007/BF01466769zbMath0661.58038MaRDI QIDQ1113153

Krzysztof Pilch, Nicholas P. Warner

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

orbifoldsstring theoryanomaliesAtiyah-Singer theoremDirac-Ramond operator

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global analysis to the sciences (58Z05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Index theory and related fixed-point theorems on manifolds (58J20) Applications of global differential geometry to the sciences (53C80)

Related Items

String structures on loop bundles, Topological actions via gauge variations of higher structures, Elliptic genera and \(N=2\) superconformal field theory, \textit{Ab initio} wall-crossing, String geometry vs. spin geometry on loop spaces, Bigerbes

Cites Work

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• Elliptic genera and quantum field theory
• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• The moment map and equivariant cohomology
• The structure of gauge and gravitational anomalies
• Global gravitational anomalies
• Theta functions, modular invariance, and strings
• Determinants, torsion, and strings
• String theory and loop space index theorems
• Circle actions on spin manifolds and characteristic numbers
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Modular invariance and discrete torsion on orbifolds
• \(S^ 1\)-actions and elliptic genera
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• The index of elliptic operators. IV, V
• Padé approximations and diophantine geometry
• Global anomalies on orbifolds