Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators
نویسندگان
چکیده
منابع مشابه
Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators
Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators D. Eelbode, a) T. Raeymaekers, b) and J. Van der Jeugt c) Department of Mathematics and Computer Science, University of Antwerp, Campus Middelheim, G-Building, Middelheimlaan 1, 2020 Antwerpen, Belgium Clifford Research Group, Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000 Ghent, Belgium Dep...
متن کاملHigher spin Dirac operators
In Clifford analysis, one studies spin-invariant differential operators on spaces of arbitrary dimension m. At the heart of the classical theory lies the well-known Dirac operator, which finds its origin in physics [5]: the Dirac equation describes the behaviour of electrons in the 4-dimensional spacetime. Our aim is to study generalizations of this operator, the so-called higher spin Dirac ope...
متن کاملThe Higher Spin Dirac Operators. *
There is a certain family of conformally invariant first order elliptic systems which include the Dirac operator as its first and simplest member. Their general definition is given and some of their basic properties are described. A special attention is paid to the Rarita-Schwinger operator, the second simplest operator in the row. Its basic properties are described in more details. In the last...
متن کاملTwisted higher spin Dirac operators
In this paper, we define twisted higher spin Dirac operators and explain how these invariant differential operators can be used to define more general higher spin Dirac operators acting on functions f(x) on R which then take values in general half-integer representations for the spin group. Mathematics Subject Classification (2010). 30G35, 42B35.
متن کاملClifford Homomorphisms and Higher Spin Dirac Operators
We present a generalization of the Clifford action for other representations spaces of Spin(n), which is called the Clifford homomorphism. Their properties extend to the ones for the higher spin Dirac operators on spin manifolds. In particular, we have general Bochner identities for them, and an eigenvalue estimate of a Laplace type operator on any associated bundle.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2015
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4934239