SPACETIME FROM SYMMETRY: THE MOYAL PLANE FROM THE POINCARÉ–HOPF ALGEBRA

DOI10.1142/S0217732309031144zbMath1176.81067arXiv0902.3409OpenAlexW3104341422MaRDI QIDQ3649570

Aiyalam P. Balachandran, Mario Martone

Publication date: 4 December 2009

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3409

zbMATH Keywords

noncommutative geometrydeformation theoryquantum groupstwisted Poincaré symmetry

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Spinor and twistor methods applied to problems in quantum theory (81R25) Noncommutative geometry in quantum theory (81R60) Ring-theoretic aspects of quantum groups (16T20)

Related Items (2)

THERMOFIELD DYNAMICS FOR TWISTED POINCARÉ-INVARIANT FIELD THEORIES: WICK THEOREM AND S-MATRIX ⋮ Quantum geons and noncommutative spacetimes

Cites Work

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• On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
• New Lie-algebraic and quadratic deformations of Minkowski space from twisted Poincaré symmetries
• Twisted gauge theories
• A gravity theory on noncommutative spaces

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