Spectral action for scalar perturbations of Dirac operators
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Publication:409023
DOI10.1007/s11005-011-0498-5zbMath1245.58005arXiv1012.3860OpenAlexW3100900460MaRDI QIDQ409023
Publication date: 12 April 2012
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3860
noncommutative geometryDirac operatorspin manifoldspectral actionspectral geometrytorsion-free connectionquantum SU(2)odd-dimensional sphere
Noncommutative geometry methods in quantum field theory (81T75) Spin and Spin({}^c) geometry (53C27) Geometry of quantum groups (58B32) Noncommutative geometry (à la Connes) (58B34)
Related Items (6)
On the Gauss-Bonnet for the quasi-Dirac operators on the sphere ⋮ Chiral asymmetry and the spectral action ⋮ A Kastler-Kalau-Walze type theorem and the spectral action for perturbations of Dirac operators on manifolds with boundary ⋮ On gravity, torsion and the spectral action principle ⋮ Noncommutative Geometry and the Physics of the LHC Era ⋮ Modified Novikov operators and the Kastler-Kalau-Walze-type theorem for manifolds with boundary
Cites Work
- Unnamed Item
- The spectral action and cosmic topology
- The spectral action for Dirac operators with skew-symmetric torsion
- Spectral action for torsion with and without boundaries
- The Dirac operator on \(\text{SU}_{q}(2)\)
- The decomposition of forms and cohomology of generalized complex manifolds
- Noncommutative geometry, quantum fields and motives
- Spectral action on \(\mathrm{SU}_q(2)\)
- The Dirac operator and gravitation
- Heat kernel expansion: user's manual
- Gravity, non-commutative geometry and the Wodzicki residue
- The local index formula in noncommutative geometry
- On the spectral characterization of manifolds
- Spectral action on noncommutative torus
- Heat kernal expansion coefficient. I. An extension
- An identity in Riemann–Cartan geometry
- Noncommutative geometry and reality
- Evaluation of the heat kernel in Riemann - Cartan space
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