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Deconstructing Dirac operators. III: Dirac and semi-Dirac pairs
2010The Dirac operator on the Euclidean space ℝ n , n ≥ 2, is a first-order differential operator \( \mathfrak{D}_{euc,n} \) with coefficients in the real Clifford algebra \( \mathfrak{A}_{euc,n} \) associated with ℝ n that has the defining property \( \mathfrak{D}_{euc,n}^2 = - \Delta _{euc,n} \), where Δeuc,n stands for the standard Laplace operator on ℝ
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On the Dirac and Spin-Dirac Operators
Advances in Applied Clifford Algebras, 2010This paper is an extension of [11], where we study the Dirac and spin-Dirac operators associated to different connections. In the present work we present some relations between the Dirac operators associated to the connections on Riemann-Cartan-Weyl spacetime, Riemann-Cartan spacetime and Riemann spacetime. We obtain a generalized Lichnerowicz formula,
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Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan +2 more
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A Dirac Operator for Extrinsic Shape Analysis
Computer graphics forum (Print), 2017Hsueh-Ti Derek Liu +2 more
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On Recovering the Dirac Operator with an Integral Delay from the Spectrum
, 2017N. Bondarenko, S. Buterin
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Positive scalar curvature and the Dirac operator on complete riemannian manifolds
, 1983Mikhael Gromov +3 more
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Transport, magnetic and optical properties of Weyl materials
Nature Reviews Materials, 2020Naoto Nagaosa +2 more
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