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Deconstructing Dirac operators. III: Dirac and semi-Dirac pairs

2010
The 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
openaire   +1 more source

On the Dirac and Spin-Dirac Operators

Advances in Applied Clifford Algebras, 2010
This 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,
openaire   +1 more source

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan   +2 more
exaly  

A Dirac Operator for Extrinsic Shape Analysis

Computer graphics forum (Print), 2017
Hsueh-Ti Derek Liu   +2 more
semanticscholar   +1 more source

Dirac Operators

1993
Bernhelm Booß-Bavnbek   +1 more
openaire   +1 more source

Transport, magnetic and optical properties of Weyl materials

Nature Reviews Materials, 2020
Naoto Nagaosa   +2 more
exaly  

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