Explicit construction of the spin-4 Casimir operator in the coset model SO(5)1*SO(5)m/SO(5)1+m

Changhyun Ahn

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

Explicit construction of the spin-4 Casimir operator in the coset model SO(5)₁*SO(5)_m/SO(5)_1+m

Changhyun Ahn

Department of Physics

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5 Scopus citations

Abstract

We generalize the coset constructions to the dimension-5/2 operator for so(5) and compute the fourth-order Casimir invariant in the coset model SO(5)₁*SO(5)_m/SO(5)_1+m with the generic unitary minimal c<5/2 series that can be viewed as perturbations of the m to infinity limit, which has previously been investigated in the c=5/2 realization of the free fermion model.

Original language	English
Article number	017
Pages (from-to)	231-237
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	27
Issue number	1
DOIs	https://doi.org/10.1088/0305-4470/27/1/017
State	Published - 1994

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title = "Explicit construction of the spin-4 Casimir operator in the coset model SO(5)1*SO(5)m/SO(5)1+m",

abstract = "We generalize the coset constructions to the dimension-5/2 operator for so(5) and compute the fourth-order Casimir invariant in the coset model SO(5)1*SO(5)m/SO(5)1+m with the generic unitary minimal c<5/2 series that can be viewed as perturbations of the m to infinity limit, which has previously been investigated in the c=5/2 realization of the free fermion model.",

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N2 - We generalize the coset constructions to the dimension-5/2 operator for so(5) and compute the fourth-order Casimir invariant in the coset model SO(5)1*SO(5)m/SO(5)1+m with the generic unitary minimal c<5/2 series that can be viewed as perturbations of the m to infinity limit, which has previously been investigated in the c=5/2 realization of the free fermion model.

AB - We generalize the coset constructions to the dimension-5/2 operator for so(5) and compute the fourth-order Casimir invariant in the coset model SO(5)1*SO(5)m/SO(5)1+m with the generic unitary minimal c<5/2 series that can be viewed as perturbations of the m to infinity limit, which has previously been investigated in the c=5/2 realization of the free fermion model.

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DO - 10.1088/0305-4470/27/1/017

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VL - 27

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JO - Journal of Physics A: Mathematical and General

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Explicit construction of the spin-4 Casimir operator in the coset model SO(5)₁*SO(5)_m/SO(5)_1+m

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