The relation between super-Virasoro anomaly and super-Weyl anomaly in $N=1$NSR superstring coupled with 2D supergravity is investigated from canonicaltheoretical view point. The WZW action canceling the super-Virasoro anomaly isexplicitly constructed. It is super-Weyl invariant but nonlocal functional of2D supergravity. The nonlocality can be remedied by the super-Liouvlle action,which in turn recovers the super-Weyl anomaly. The final gravitationaleffective action turns out to be local but noncovariant super-Liouville action,describing the dynamical behavior of the super-Liouville fields. The BRSTinvariance of this approach is examined in the superconformal gauge and in thelight-cone gauge.
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机译：从规范理论的角度研究了$ N = 1 $ NSR超弦结合二维超重力的超维拉索罗异常与超魏尔异常之间的关系。明确构造了消除超级维拉索罗异常的WZW动作。它是二维的超重力不变性，但不是局部的。可以通过super-Liouvlle动作来纠正非局部性，从而恢复超级Weyl异常。最终的引力有效作用证明是局部但非协变的超级Liouville作用，描述了超级Liouville场的动力学行为。这种方法的BRST不变性在超保形规和圆锥形规中进行了检验。
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