The Journal of the Indian Mathematical Society

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Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds


Affiliations
1 Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701, United States
2 Department of Mathematics, Department of Physics, University of Arkansas, Fayetteville, Arkansas, 72701, United States
     

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Higher order higher spin operators are generalizations of kth-powers of the Dirac operator. In this paper, we study higher order higher spin operators defined on some conformally flat manifolds, namely cylinders and Hopf manifolds. We will also construct the kernels of these operators on these manifolds.

Keywords

Fermionic and Bosonic Operators, Conformally Flat Manifolds, Kleinian Group, Fundamental Solutions.
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Abstract Views: 349

PDF Views: 2




  • Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds

Abstract Views: 349  |  PDF Views: 2

Authors

Chao Ding
Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701, United States
Raymond Walter
Department of Mathematics, Department of Physics, University of Arkansas, Fayetteville, Arkansas, 72701, United States
John Ryan
Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701, United States

Abstract


Higher order higher spin operators are generalizations of kth-powers of the Dirac operator. In this paper, we study higher order higher spin operators defined on some conformally flat manifolds, namely cylinders and Hopf manifolds. We will also construct the kernels of these operators on these manifolds.

Keywords


Fermionic and Bosonic Operators, Conformally Flat Manifolds, Kleinian Group, Fundamental Solutions.

References