Short Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations

Details Short Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations Short Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations

2008-01-24

arxiv.org/abs/0801.3687v1

JHEP 0901:054,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, corrected typos

Scientific paper

10.1088/1126-6708/2009/01/054

Using the previous construction of the geometrical representation (GR) of the centerless 1D, N = 4 extended Super Virasoro algebra, we construct the corresponding Short Distance Operation Product Expansions for the deformed version of the algebra. This algebra differs from the regular algebra by the addition of terms containing the Levi-Civita tensor. How this addition changes the super-commutation relations and affects the Short Distance Operation Product Expansions (OPEs) of the associated fields is investigated. The Method of Coadjoint Orbits, which removes the need first to find Lagrangians invariant under the action of the symmetries, is used to calculate the expansions. Finally, an alternative method involving Clifford algebras is investigated for comparison.

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