Anomaly of (2,0) Theories

Physics – High Energy Physics – High Energy Physics - Theory

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LaTeX, 14 pages, a notational error fixed

Scientific paper

10.1103/PhysRevD.64.106006

We compute gravitational and axial anomaly for D-type (2,0) theories realized on N pairs of coincident M5-branes at R^5/Z_2 orbifold fixed point. We first summarize work by Harvey, Minasian, and Moore on A-type (2,0) theories, and then extend it to include the effect of orbifold fixed point. The net anomaly inflow follows when we further take into account the consistency of T^5/Z_2 M-theory orbifold. We deduce that the world-volume anomaly is given by N{\cal J}_8 + N(2N-1)(2N-2) p_2/24 where {\cal 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.

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