The " power - law " divergences q ( 2n−1 ) impose further conditions on the asymptotic data , namely the boundary geometry should be such that spinors ǫ ( − 1 2 ) satisfying specific differential equations exist . In d = 2 there is no such divergence . For d = 3 , 4 the only divergent term is q ( 1 ) . This results in the following condition 6