Higher-loop anomalies and their consistency conditions in non-local regularization

Jordi París, Walter Troost
1996 Nuclear Physics B  
An algebraic program of computation and characterization of higher loop BRST anomalies is presented. We propose a procedure for disentangling a genuine local higher loop anomaly from the quantum dressings of lower loop anomalies. For such higher loop anomalies we derive a local consistency condition, which is the generalisation of the Wess-Zumino condition for the one-loop anomaly. The development is presented in the framework of the field-antifield formalism, making use of a nonlocal
more » ... tion method. The theoretical construction is exemplified by explicitly computing the two-loop anomaly of chiral W_3 gravity. We also give, for the first time, an explicit check of the local two--loop consistency condition that is associated with this anomaly.
doi:10.1016/s0550-3213(96)00570-6 fatcat:67r43qqgwna57mhae5cnewrr6y