Scalar and spinor field actions on fuzzy \(S^4\): fuzzy \(\mathbb{C} P^3\) as a \(S^2_F\) bundle over \(S^4_F\)

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

zbMATH Keywords

non-commutative geometrymatrix modelsfield theories in higher dimensionsdifferential and algebraic geometry

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75)

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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