BRST-fixed points and topological conformal symmetry

Abstract: We study the twisted version of the supersymmetric

G / T = S U (n) / U (1)^{o t i m e s (n - 1)} g a u g e d W e s s - Z u m i n o - W i t t e n m o d e l . B y s t u d y i n g i t s f i x e d p o i n t s u n d e r B R S T t r a n s f o r m a t i o n t h i s m o d e l i s s h o w n t o b e r e d u c e d t o a s i m p l e t o p o l o g i c a l f i e l d t h e o r y, t h a t i s, t h e t o p o l o g i c a l m a t t e r s y s t e m i n t h e K . L i^{'} s t h e o r y o f 2 d i m e n s i o n a l g r a v i t y f o r t h e c a s e o f

n=2

, a n d i t s g e n e r a l i z a t i o n f o r

n geq 3$.

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