Setting the quantum integrand of M-theory

DOI10.1007/s00220-005-1482-7zbMath1124.58011arXivhep-th/0409135OpenAlexW1973643546MaRDI QIDQ2456754

Gregory W. Moore, Daniel S. Freed

Publication date: 22 October 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0409135

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)

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Cites Work

• Superconnections and the Chern character
• Anomalies and odd dimensions
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Quantum field theory and the Jones polynomial
• The \(\zeta\)-determinant and the additivity of the \(\eta\)-invariant on the smooth, self-adjoint Grassmannian
• Chern-Simons theory with finite gauge group
• The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
• On flux quantization in \(M\)-theory and the effective action
• Anomaly cancellation in M-theory: a critical review
• The \(\zeta\)-determinant and Quillen determinant for a Dirac operator on a manifold with boundary
• Heterotic and type I string dynamics from eleven dimensions
• Faddeev's anomaly and bundle gerbes
• Eleven-dimensional supergravity on a manifold with boundary
• Quadratic functions in geometry, topology, and \(M\)-theory
• Index theory for skew-adjoint Fredholm operators
• Spectral asymmetry and Riemannian Geometry. I
• Two Theorems on the Mapping Class Group of a Surface
• η-invariants and determinant lines
• BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY
• Topological structures in string theory
• Functorial QFT, gauge anomalies and the Dirac determinant bundle
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