Scalar and spinor field actions on fuzzy \(S^4\): fuzzy \(\mathbb{C} P^3\) as a \(S^2_F\) bundle over \(S^4_F\)
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Publication:1795863
DOI10.1007/JHEP08(2012)070zbMath1397.81417arXiv1208.0348MaRDI QIDQ1795863
Idrish Huet, Julieta Medina, Brian P. Dolan, Denjoe O'connor
Publication date: 16 October 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.0348
non-commutative geometrymatrix modelsfield theories in higher dimensionsdifferential and algebraic geometry
Related Items (8)
Emergent gravity on covariant quantum spaces in the IKKT model ⋮ One-loop stabilization of the fuzzy four-sphere via softly broken SUSY ⋮ Four‐Dimensional Gravity on a Covariant Noncommutative Space (II) ⋮ Dirac operators for matrix algebras converging to coadjoint orbits ⋮ Covariant 4-dimensional fuzzy spheres, matrix models and higher spin ⋮ Higher spin gauge theory on fuzzy $\boldsymbol {S^4_N}$ ⋮ Quantum (matrix) geometry and quasi-coherent states ⋮ Gauge theoretic approach to (ordinary) gravity and its fuzzy extensions in three and four dimensions
Cites Work
- A projective Dirac operator on \(\mathbb{CP}^2\) within fuzzy geometry
- Fuzzy complex projective spaces and their star-products
- On finite 4D quantum field theory in non-commutative geometry
- Longitudinal \(5\)-branes as \(4\)-spheres in Matrix theory
- Noncommutative gauge theory on fuzzy four-sphere and matrix model
- Dirac operators on coset spaces
- On spherical harmonics for fuzzy spheres in diverse dimensions
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