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Hermitian symmetric spaces and free field topological theories

Sfetsos, K and Bars, I (1992) Hermitian symmetric spaces and free field topological theories Nuclear Physics B, 371 (1-2). pp. 507-518.

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We generalize the recent free field realization of SU(N) current algebras by considering more general (super)groups G and their (super)kählerian cosets G/H which are (super)hermitian symmetric spaces. The method consists of introducing free fields corresponding to the (super)kählerian coset and building the currents in a manner similar to Wigner's construction of the Poincaré group from generalized “orbital” and “spin” degrees of freedom. We then show that our parametrization of the currents yields free field representations for the superconformal n = 2 Kazama-Suzuki-type models as well as the related topological quantum field theories.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Bars, I
Date : 2 March 1992
DOI : 10.1016/0550-3213(92)90245-7
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:51
Last Modified : 24 Jan 2020 22:57

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