Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-01-19
Nucl.Phys. B393 (1993) 301-336
Physics
High Energy Physics
High Energy Physics - Theory
40 pages (52/2 if use the little option of harvmac.tex)
Scientific paper
10.1016/0550-3213(93)90247-M
$G/G$ topological field theories based on $G_k$ WZW models are constructed and studied. These coset models are formulated as Complex BRST cohomology in $G^c_k$, the complexified level $k$ current algebra. The finite physical spectrum corresponds to the conformal blocks of $G_k$ .The amplitudes for $G/G$ theories are argued to be given in terms of the $G_k$ fusion rules. The $G_k/G_k$ character is the Kac-Weyl numerator of $G_k$ and is interpreted as an index. The Complex BRST cohomology is found to contain states of arbitrary ghost number. Intriguing similarities of $G/G$ to $c\leq 1$ matter systems coupled to two dimensional gravity are pointed out.
Spiegelglas Mordechai
Yankielowicz Shimon
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