Explicit Construction of Spin 4 Casimir Operator in the Coset Model $ \hat{SO} (5)_{1} \times \hat{SO} (5)_{m} / \hat{SO} (5)_{1+m} $

Changhyun Ahn

doi:10.1088/0305-4470/27/1/017

paper

Explicit Construction of Spin 4 Casimir Operator in the Coset Model $S O^(5)_{1} \times S O^(5)_{m} / S O^(5)_{1 + m}$

arXiv:hep-th/9209001 · doi:10.1088/0305-4470/27/1/017

Abstract

We generalize the Goddard-Kent-Olive (GKO) coset construction to the dimension 5/2 operator for $so^(5)$ and compute the fourth order Casimir invariant in the coset model $S O^(5)_{1} \times S O^(5)_{m} / S O^(5)_{1 + m}$ with the generic unitary minimal $c < 5/2$ series that can be viewed as perturbations of the $m \to \infty$ limit, which has been investigated previously in the realization of $c = 5/2$ free fermion model.

11 pages

Explicit Construction of Spin 4 Casimir Operator in the Coset Model $S O^(5)_{1} \times S O^(5)_{m} / S O^(5)_{1 + m}$

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Explicit Construction of Spin 4 Casimir Operator in the Coset Model SO^(5)1​×SO^(5)m​/SO^(5)1+m​

Abstract

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Explicit Construction of Spin 4 Casimir Operator in the Coset Model $S O^(5)_{1} \times S O^(5)_{m} / S O^(5)_{1 + m}$