Generalized homologies for the zero modes of the SU(2) WZNW model
Dubois-Violette, Michel ; Todorov, Ivan T.
HAL, hal-00013494 / Harvested from HAL
We generalize the BRS method for the (finite-dimensional) quantum gauge theory involved in the zero modes of the monodromy extended SU(2) WZNW model. The generalization consists of a nilpotent operator Q such that $Q^h=0$ ($h=k+2=2,3,...$ being the height of the current algebra representation) acting on an extended state space. The physical subquotient is identified with the direct sum $\\oplusinf^{h-1}_{n=1}\\ker(Q^n)/\\im(Q^{h-n})$.
Publié le : 1999-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
@article{hal-00013494,
     author = {Dubois-Violette, Michel and Todorov, Ivan T.},
     title = {Generalized homologies for the zero modes of the SU(2) WZNW model},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013494}
}
Dubois-Violette, Michel; Todorov, Ivan T. Generalized homologies for the zero modes of the SU(2) WZNW model. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013494/