Symmetries of the Dirac operator with skew-symmetric torsion

DOI10.1088/0264-9381/27/18/185019zbMath1200.83102arXiv1002.3616OpenAlexW1983306836MaRDI QIDQ3162802

David Kubizňák, Tsuyoshi Houri, Yukinori Yasui, Claude M. Warnick

Publication date: 22 October 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3616

zbMATH Keywords

theory of invariantsvector and tensor algebraoperator algebra methodsclosed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (19)

Geometric algebra techniques in flux compactifications ⋮ Black holes, hidden symmetries, and complete integrability ⋮ TCFHs, hidden symmetries and M-theory backgrounds ⋮ Hidden symmetries and integrability in higher dimensional rotating black hole spacetimes ⋮ The Graf product: a Clifford structure framework on the exterior bundle ⋮ Twistorial eigenvalue estimates for generalized Dirac operators with torsion ⋮ Killing tensors with nonvanishing Haantjes torsion and integrable systems ⋮ Hidden symmetry in the presence of fluxes ⋮ Higher-dimensional lifts of Killing–Yano forms with torsion ⋮ Gauged twistor spinors and symmetry operators ⋮ Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds ⋮ Symmetries, spinning particles and the TCFH of D = 4, 5 minimal supergravities ⋮ Generalized hidden symmetries and the Kerr-Sen black hole ⋮ Principal tensor strikes again: separability of vector equations with torsion ⋮ New spinor classes on the Graf-Clifford algebra ⋮ Separation of variables in the WZW models ⋮ On quantum numbers for Rarita–Schwinger fields ⋮ Massive vector fields in Kerr-Newman and Kerr-Sen black hole spacetimes ⋮ TCFHs, hidden symmetries and type II theories

This page was built for publication: Symmetries of the Dirac operator with skew-symmetric torsion