ISSN:
1573-0530
Keywords:
WZNW model
;
generalized cohomologies.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract 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 $$A^h = 0\left( {h = k + 2 = 3,4,...} \right.$$ being the height of the current algebra representation) acts in $$\left( {2h - 1} \right)$$ -dimensional indefinite metric space $${\mathcal{H}}_I$$ of quantum group invariant vectors. The generalized cohomologies Ker $$A^n /{Im}\;A^{h - n} \left( {n = 1,...,h - 1} \right)$$ are 1-dimensional. Their direct sum spans the physical subquotient of $${\mathcal{H}}_I$$ .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007446222667
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