Dirac operators on quasi-Hamiltonian \(G\)-spaces

DOI10.1016/j.geomphys.2016.01.012zbMath1357.53104arXiv1503.03150OpenAlexW1568132168MaRDI QIDQ295739

Yanli Song

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03150

zbMATH Keywords

Dirac operatorsloop groupgeometric quantizationquasi-Hamiltonian \(G\)-space

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Symplectic manifolds (general theory) (53D05) Applications of differential geometry to physics (53Z05) Spinor and twistor methods applied to problems in quantum theory (81R25) Geometric quantization (53D50)

Related Items (4)

\(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group ⋮ Quantization of Hamiltonian loop group spaces ⋮ Towards a quantization of the double via the enhanced symplectic ``category ⋮ An analytic \(LT\)-equivariant index and noncommutative geometry

Cites Work

• Dirac induction for loop groups
• Lie group valued moment maps
• Hamiltonian loop group actions and Verlinde factorization
• Multiplets of representations and Kostant's Dirac operator for equal rank loop groups
• The non-commutative Weil algebra
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• The Cubic Dirac Operator for Infinite-Dimensonal Lie Algebras
• Twisted K-Homology and Group-Valued Moment Maps
• Clifford Algebras and Lie Theory
• Loop groups and twisted $K$-theory II
• Canonical bundles for Hamiltonian loop group manifolds.
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