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On a special type of solutions of arbitrary higher spin Dirac operators

Hennie De Schepper (UGent) , David Eelbode (UGent) and Tim Raeymaekers (UGent)
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Abstract
In this paper an explicit expression is determined for the elliptic higher spin Dirac operator, acting on functions f(x) taking values in an arbitrary irreducible finite-dimensional module for the group Spin(m) characterized by a half-integer highest weight. Also a special class of solutions of these operators is constructed, and the connection between these solutions and transvector algebras is explained.
Keywords
Dirac operator, higher spin, REPRESENTATIONS, EQUATIONS

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Citation

Please use this url to cite or link to this publication:

Chicago
De Schepper, Hennie, David Eelbode, and Tim Raeymaekers. 2010. “On a Special Type of Solutions of Arbitrary Higher Spin Dirac Operators.” Journal of Physics A-mathematical and Theoretical 43 (32).
APA
De Schepper, Hennie, Eelbode, D., & Raeymaekers, T. (2010). On a special type of solutions of arbitrary higher spin Dirac operators. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43(32).
Vancouver
1.
De Schepper H, Eelbode D, Raeymaekers T. On a special type of solutions of arbitrary higher spin Dirac operators. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2010;43(32).
MLA
De Schepper, Hennie, David Eelbode, and Tim Raeymaekers. “On a Special Type of Solutions of Arbitrary Higher Spin Dirac Operators.” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 43.32 (2010): n. pag. Print.
@article{1056910,
  abstract     = {In this paper an explicit expression is determined for the elliptic higher spin Dirac operator, acting on functions f(x) taking values in an arbitrary irreducible finite-dimensional module for the group Spin(m) characterized by a half-integer highest weight. Also a special class of solutions of these operators is constructed, and the connection between these solutions and transvector algebras is explained.},
  articleno    = {325208},
  author       = {De Schepper, Hennie and Eelbode, David and Raeymaekers, Tim},
  issn         = {1751-8113},
  journal      = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
  keywords     = {Dirac operator,higher spin,REPRESENTATIONS,EQUATIONS},
  language     = {eng},
  number       = {32},
  pages        = {13},
  title        = {On a special type of solutions of arbitrary higher spin Dirac operators},
  url          = {http://dx.doi.org/10.1088/1751-8113/43/32/325208},
  volume       = {43},
  year         = {2010},
}

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