We find a canonical $N{=}2$ superconformal algebra (SCA) in the BRST complexassociated to any affine Lie algebra $\ghhat$ with $\gh$ semisimple. Incontrast with the similar known results for the Virasoro, $N{=}1$supervirasoro, and $\W_3$ algebras, this SCA does not depend on the particular``matter'' representation chosen. Therefore it follows that every gauged WZNWmodel with data $(\gg\supset\gh, k)$ has an $N{=}2$ SCA with central charge$c=3\dim\gh$ independent of the level $k$. In particular, this associates toevery embedding $sl(2) \subset \gg$ a one-parameter family of $c{=}9$ $N{=}2$supervirasoro algebras. As a by-product of the construction, one can deduce anew set of ``master equations'' for generalized $N{=}2$ supervirasoroconstructions which is simpler than the one considered thus far.
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机译：我们在BRST络中找到一个规范的$ N {=} 2 $超保形代数（SCA），它与任何仿射李代数$ \ ghhat $和$ \ gh $半简单相关。与Virasoro，$ N {=} 1 $ supervirasoro和$ \ W_3 $代数的类似已知结果相反，此SCA不依赖于所选的特定``问题''表示形式。因此，得出的结果是，每个具有数据$（\ gg \ supset \ gh，k）$的规范WZNWmodel都有$ N {=} 2 $ SCA，其中央费用$ c = 3 \ dim \ gh $与级别$ k $无关。特别是，这将使每个嵌入$ sl（2）\ subset \ gg $的单参数族$ c {=} 9 $ $ N {=} 2 $ supervirasoro代数相互关联。作为构造的副产品，人们可以为广义的$ N {=} 2 $超级虚拟构造推导出一组新的``主方程''，这比到目前为止考虑的要简单。
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