Covariant non-commutative space-time

DOI10.1016/j.nuclphysb.2015.02.018zbMath1328.81213arXiv1401.1810OpenAlexW2174508405MaRDI QIDQ902008

Jonathan J. Heckman, Herman Verlinde

Publication date: 6 January 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1810

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) Symmetry breaking in quantum theory (81R40) Noncommutative geometry methods in quantum field theory (81T75) Methods of noncommutative geometry in general relativity (83C65) Formal methods and deformations in algebraic geometry (14D15)

Related Items (24)

Gravity as a quantum effect on quantum space-time ⋮ Emergent gravity on covariant quantum spaces in the IKKT model ⋮ Relative entropy and proximity of quantum field theories ⋮ One-loop stabilization of the fuzzy four-sphere via softly broken SUSY ⋮ 6D fractional quantum Hall effect ⋮ From phase space to multivector matrix models ⋮ Noncommutative Gauge Theory and Gravity in Three Dimensions ⋮ The fuzzy 4-hyperboloid $H_n^4$ and higher-spin in Yang-Mills matrix models ⋮ Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem ⋮ Covariant 4-dimensional fuzzy spheres, matrix models and higher spin ⋮ Higher spin gauge theory on fuzzy $\boldsymbol {S^4_N}$ ⋮ Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups ⋮ The q-linked complex Minkowski space, its real forms and deformed isometry groups ⋮ Four-dimensional gravity on a covariant noncommutative space ⋮ Cosmological space-times with resolved big bang in Yang-Mills matrix models ⋮ Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang–Mills matrix models ⋮ On the quantum structure of space-time, gravity, and higher spin in matrix models ⋮ Dirac equation on coordinate dependent noncommutative space-time ⋮ Quantum Klein space and superspace ⋮ Exploring the gravity sector of emergent higher-spin gravity: effective action and a solution ⋮ Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces ⋮ Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model ⋮ The \(\kappa \)-Newtonian and \(\kappa \)-Carrollian algebras and their noncommutative spacetimes ⋮ Gauge theoretic approach to (ordinary) gravity and its fuzzy extensions in three and four dimensions

Cites Work

• Gravitation from entanglement in holographic CFTs
• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
• Spinning conformal blocks
• Wave equations in conformal space
• KONTSEVICH'S UNIVERSAL FORMULA FOR DEFORMATION QUANTIZATION AND THE CAMPBELL–BAKER–HAUSDORFF FORMULA
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Thermodynamics of Spacetime: The Einstein Equation of State
• Higher spin gauge theories in various dimensions
• On Quantized Space-Time
• Quantized Space-Time
• Quantum field theory on noncommutative spaces
• On spherical harmonics for fuzzy spheres in diverse dimensions

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