Global anomalies on orbifolds

DOI10.1007/BF01212418zbMath0634.57020MaRDI QIDQ5903528

Cumrun Vafa, Daniel S. Freed

Publication date: 1987

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

zbMATH Keywords

group cohomologycharacteristic classabelian orbifoldsglobal anomalies in quantum field theoryglobal anomaly for heterotic string theory formulated on orbifoldslevel matching conditionsnonabelian orbifolds

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Characteristic classes and numbers in differential topology (57R20) Differential topology (57R99) Applications of global differential geometry to the sciences (53C80) Finite transformation groups (57S17) Generalized manifolds (57P99)

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Cites Work

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• Elliptic genera and quantum field theory
• The moment map and equivariant cohomology
• The structure of gauge and gravitational anomalies
• Global gravitational anomalies
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Theta functions, modular invariance, and strings
• Determinants, torsion, and strings
• The logarithm of the Dedekind \(\eta\)-function
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Modular invariance and discrete torsion on orbifolds
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Dirac operators coupled to vector potentials
• Spectral asymmetry and Riemannian Geometry. I
• Lectures on Morse theory, old and new
• On the Chern Classes of Representations of Finite Groups
• The Integral Cohomology Rings of Groups of Order p 3