We compute the gravitational and axial anomaly for D-type $\mathrm{}(2,0)\mathrm{}$ theories realized on N pairs of coincident M5-branes at an $R^5{/Z}_2$ orbifold fixed point. We first summarize the work of Harvey, Minasian, and Moore on A-type $\mathrm{}(2,0)\mathrm{}$ theories, and then extend it to include the effects of the orbifold fixed point. The net anomaly inflow follows when we further take into account the consistency of the $T^5{/Z}_2$ M-theory orbifold. We deduce that the world-volume anomaly is given by $N{\mathcal{J}}_8+N\left(2N-1\right)(2N-{2)p}_2/24\mathrm{}$ where ${\mathcal{J}}_8$ is the anomaly polynomial of a free tensor multiplet and $p_2$ is the second Pontryagin class associated with the normal bundle. This result is in accord with Intriligator’s conjecture.

• Received 9 July 2001

DOI:https://doi.org/10.1103/PhysRevD.64.106006