Dirac operators on the fuzzy AdS2 with the spins $\frac{1}{2}$12 and 1

DOI10.1063/1.3653480zbMath1272.81057OpenAlexW2075758638MaRDI QIDQ2851746

M. Lotfizadeh, Hossein Fakhri

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3653480

zbMATH Keywords

Ginsparg-Wilson algebra

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

q-deformed fuzzy Ginsparg–Wilson algebra and its q-deformed Dirac and chirality operators on quantum fuzzy two-sphere ⋮ Construction of the Dirac operator on the \(q\)-deformed quantum space \(EAdS^2\) using a generalized \(q\)-deformed Ginsparg-Wilson algebra ⋮ Gauged Dirac operator on the q-deformed fuzzy Euclidean anti-de Sitter space using the pseudo-generalization of q-deformed Ginsparg–Wilson algebra ⋮ Super quantum Dirac operator on the q-deformed super fuzzy sphere in instanton sector using quantum super Ginsparg–Wilson algebra ⋮ Dirac operator on the quantum fuzzy four-sphere SqF4 ⋮ Super Dirac operator on the super fuzzy sphere \(S_F^{(2|2)}\) in instanton sector using super Ginsparg-Wilson algebra

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