It is known previously that the operator product expansion (OPE) between the first N = 3 multiplet and itself contains the second N = 3 multiplet in the supersymmetric coset model. In this paper, by using their realizations in terms of various fermions, we compute the four kinds of OPEs between the first and the second N = 3 multiplets for fixed N andM, where the group of the coset contains SU(N+M). By supersymmetrizing the above OPEs in N = 3 superspace and using the various Jacobi identities between the currents, we determine the N = 3 supersymmetric OPE between the first and the second N = 3 multiplets completely. The right-hand side of this OPE contains the various N = 3 multiplets: the SO(3) singlet N = 3 multiplets of superspin- 3 2; 2; 3; 4 and the SO(3) triplet N = 3 multiplets of superspin-5/2; 3; 7/2. The N = 2 superspace description and the decoupling of the spin-1/2 current of the N = 3 superconformal algebra are also described.
机构:
Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14424 Golin, GermanyAlbert Einstein Inst, Max Planck Inst Gravitat Phys, D-14424 Golin, Germany
机构:
Columbia Univ, Dept Phys, Ctr Theoret Phys, 538W 120th St, New York, NY 10027 USAColumbia Univ, Dept Phys, Ctr Theoret Phys, 538W 120th St, New York, NY 10027 USA
Landry, Michael J.
Sun, Guanhao
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机构:
Columbia Univ, Dept Phys, Ctr Theoret Phys, 538W 120th St, New York, NY 10027 USAColumbia Univ, Dept Phys, Ctr Theoret Phys, 538W 120th St, New York, NY 10027 USA