The chiral anomaly from M theory

Details The chiral anomaly from M theory The chiral anomaly from M theory

2003-11-10

arxiv.org/abs/hep-th/0311088v1

Phys.Rev. D69 (2004) 086003

Physics

High Energy Physics

High Energy Physics - Theory

1 + 44 pages. LaTeX

Scientific paper

10.1103/PhysRevD.69.086003

We argue that the chiral anomaly of $\Ncal = 1$ super Yang-Mills theory admits a dual description as spontaneous symmetry breaking in M theory on $G_2$ holonomy manifolds. We identify an angle of the $G_2$ background dual to the anomalous $U(1)_R$ current in field theory. This angle is not an isometry of the metric and we therefore develop a theory of ``massive isometry'' to describe fluctuations about such angles. Another example of a massive isometry occurs in the Atiyah-Hitchin metric.

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