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Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors

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Abstract
The spinor representations of the orthosymplectic Lie superalgebras osp(m|n) are considered and constructed. These are infinite-dimensional irreducible representations, of which the superdimension coincides with the dimension of the spinor representation of so(m - n). Next, we consider the self dual tensor representations of osp(m|n) and their generalizations: these are also infinitedimensional and correspond to the highest irreducible component of the pth power of the spinor representation. We determine the character of these representations, and deduce a superdimension formula. From this, it follows that also for these representations the osp(m|n) similar to so(m - n) correspondence holds.
Keywords
IRREDUCIBLE REPRESENTATIONS, LIE-SUPERALGEBRAS, YOUNG-DIAGRAMS, ALGEBRAS, SUPERGRAVITY, IDENTITIES, FORMULAS, AFFINE, orthosymplectic Lie superalgebras, spinor and self dual tensor, representations, superdimensions

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MLA
Stoilova, NI, J Thierry-Mieg, and Joris Van der Jeugt. “Extension of the Osp(m| N) ~ So(m - N) Correspondence to the Infinite-dimensional Chiral Spinors and Self Dual Tensors.” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 50.15 (2017): n. pag. Print.
APA
Stoilova, NI, Thierry-Mieg, J., & Van der Jeugt, J. (2017). Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 50(15).
Chicago author-date
Stoilova, NI, J Thierry-Mieg, and Joris Van der Jeugt. 2017. “Extension of the Osp(m| N) ~ So(m - N) Correspondence to the Infinite-dimensional Chiral Spinors and Self Dual Tensors.” Journal of Physics A-mathematical and Theoretical 50 (15).
Chicago author-date (all authors)
Stoilova, NI, J Thierry-Mieg, and Joris Van der Jeugt. 2017. “Extension of the Osp(m| N) ~ So(m - N) Correspondence to the Infinite-dimensional Chiral Spinors and Self Dual Tensors.” Journal of Physics A-mathematical and Theoretical 50 (15).
Vancouver
1.
Stoilova N, Thierry-Mieg J, Van der Jeugt J. Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2017;50(15).
IEEE
[1]
N. Stoilova, J. Thierry-Mieg, and J. Van der Jeugt, “Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors,” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 50, no. 15, 2017.
@article{8519020,
  abstract     = {The spinor representations of the orthosymplectic Lie superalgebras osp(m|n) are considered and constructed. These are infinite-dimensional irreducible representations, of which the superdimension coincides with the dimension of the spinor representation of so(m - n). Next, we consider the self dual tensor representations of osp(m|n) and their generalizations: these are also infinitedimensional and correspond to the highest irreducible component of the pth power of the spinor representation. We determine the character of these representations, and deduce a superdimension formula. From this, it follows that also for these representations the osp(m|n) similar to so(m - n) correspondence holds.},
  articleno    = {155201},
  author       = {Stoilova, NI and Thierry-Mieg, J and Van der Jeugt, Joris},
  issn         = {1751-8113},
  journal      = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
  keywords     = {IRREDUCIBLE REPRESENTATIONS,LIE-SUPERALGEBRAS,YOUNG-DIAGRAMS,ALGEBRAS,SUPERGRAVITY,IDENTITIES,FORMULAS,AFFINE,orthosymplectic Lie superalgebras,spinor and self dual tensor,representations,superdimensions},
  language     = {eng},
  number       = {15},
  pages        = {21},
  title        = {Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors},
  url          = {http://dx.doi.org/10.1088/1751-8121/aa5e8f},
  volume       = {50},
  year         = {2017},
}

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