Supersymmetric field theories from twisted vector bundles

DOI10.1007/s00220-019-03390-yzbMath1414.81162arXiv1801.03016OpenAlexW3100436845MaRDI QIDQ1741655

Augusto Stoffel

Publication date: 6 May 2019

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

Full work available at URL: https://arxiv.org/abs/1801.03016

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spinor and twistor methods applied to problems in quantum theory (81R25) Orbifold cohomology (55N32)

Related Items (2)

Supersymmetric Euclidean field theories and K-theory ⋮ Power operations in the Stolz-Teichner program

Cites Work

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• Differential forms and 0-dimensional supersymmetric field theories
• Differentiable stacks and gerbes
• Chern character for twisted \(K\)-theory of orbifolds
• Superconnections and parallel transport
• Superconnections and the Chern character
• Twisted orbifold K-theory
• Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
• Boundary conditions for topological quantum field theories, anomalies and projective modular functors
• Pseudo-categories
• Dimensional reduction and the equivariant Chern character
• Holonomy for gerbes over orbifolds
• Anomalies and Invertible Field Theories
• Supersymmetric field theories and generalized cohomology
• Framed bicategories and monoidal fibrations
• Equivariant elliptic cohomology, gauged sigma models, and discrete torsion
• Loop spaces, characteristic classes and geometric quantization

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