Generalized cohomologies and the physical subspace of the $SU(2)$ WZNW model
Dubois-Violette, Michel ; Todorov, Ivan T.
HAL, hal-00013511 / Harvested from HAL
Text on HAL
The zero modes of the monodromy extended SU(2) WZNW model give rise to a gauge theory with a finite dimensional state space. A generalized BRS operator $A$ such that $A^h=0 (h=k+2=3,4,...$ being the height of the current algebra representation) acts in a (2h-1)-dimensional indefinite metric space $H_I$ of quantum group invariant vectors. The generalized cohomologies $Ker A^n/ Im A^{h-n} (n=1,..., h-1)$ are 1-dimensional. Their direct sum spans the physical subquotient of $H_I$.
Publié le : 1997-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00013511,
     author = {Dubois-Violette, Michel and Todorov, Ivan T.},
     title = {Generalized cohomologies and the physical subspace of the $SU(2)$ WZNW model},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013511}
}

Dubois-Violette, Michel; Todorov, Ivan T. Generalized cohomologies and the physical subspace of the $SU(2)$ WZNW model. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013511/