Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds

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Authors

  • Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701 ,US
  • Department of Mathematics, Department of Physics, University of Arkansas, Fayetteville, Arkansas, 72701 ,US
  • Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701 ,US

Keywords:

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

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.

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Published

2016-12-01

How to Cite

Ding, C., Walter, R., & Ryan, J. (2016). Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds. The Journal of the Indian Mathematical Society, 83(3-4), 231–240. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/6606

 

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