Jiangbei Fan - Academia.edu (original) (raw)
Related Authors
Uploads
Papers by Jiangbei Fan
Arxiv preprint hep-th/9304122, 1993
Modules over affine Lie superalgebras G are studied, in particular, for G = OSP (1, 2). It is sho... more Modules over affine Lie superalgebras G are studied, in particular, for G = OSP (1, 2). It is shown that on studying Verma modules, much of the results in Kac-Moody algebra can be generalized to the super case. Of most importance are the generalized Kac-Kazhdan formula and the Malikov-Feigin-Fuchs construction, which give the weights and the explicit form of the singular vectors in the Verma module over affine Kac-Moody superalgebras. We have also considered the decomposition of the admissible representation of OSP (1, 2) into that of SL(2)⊗Virasoro algebra, through which we get the modular transformations on the torus and the fusion rules. Different boundary conditions on the torus correspond to the different modings of the current superalgebra and characters or super-characters, which might be relevant to the Hamiltonian reduction resulting in Neveu-Schwarz or Ramond superconformal algebras. Finally, the Felder BRST complex, which consists of Wakimoto modules by the free field realization, is constructed.
Arxiv preprint hep-th/9304123, 1993
The G/G gauged supergroup valued WZNW theory is considered. It is shown that for G = OSP (1, 2), ... more The G/G gauged supergroup valued WZNW theory is considered. It is shown that for G = OSP (1, 2), the G/G theory tensoring a (b, c, β, γ) system is equivalent to the non-critical fermionic theory. The relation between integral or half integral moded affine superalgebra and its reduced theory, the NS or R superconformal algebra, is discussed in detail. The physical state space, i.e. the BRST semi-infinite cohomology, is calculated, for the OSP (1, 2)/OSP (1, 2) theory.
Arxiv preprint hep-th/9304122, 1993
Modules over affine Lie superalgebras G are studied, in particular, for G = OSP (1, 2). It is sho... more Modules over affine Lie superalgebras G are studied, in particular, for G = OSP (1, 2). It is shown that on studying Verma modules, much of the results in Kac-Moody algebra can be generalized to the super case. Of most importance are the generalized Kac-Kazhdan formula and the Malikov-Feigin-Fuchs construction, which give the weights and the explicit form of the singular vectors in the Verma module over affine Kac-Moody superalgebras. We have also considered the decomposition of the admissible representation of OSP (1, 2) into that of SL(2)⊗Virasoro algebra, through which we get the modular transformations on the torus and the fusion rules. Different boundary conditions on the torus correspond to the different modings of the current superalgebra and characters or super-characters, which might be relevant to the Hamiltonian reduction resulting in Neveu-Schwarz or Ramond superconformal algebras. Finally, the Felder BRST complex, which consists of Wakimoto modules by the free field realization, is constructed.
Arxiv preprint hep-th/9304123, 1993
The G/G gauged supergroup valued WZNW theory is considered. It is shown that for G = OSP (1, 2), ... more The G/G gauged supergroup valued WZNW theory is considered. It is shown that for G = OSP (1, 2), the G/G theory tensoring a (b, c, β, γ) system is equivalent to the non-critical fermionic theory. The relation between integral or half integral moded affine superalgebra and its reduced theory, the NS or R superconformal algebra, is discussed in detail. The physical state space, i.e. the BRST semi-infinite cohomology, is calculated, for the OSP (1, 2)/OSP (1, 2) theory.