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Phys. Rev. D 69, 086003 (2004) [20 pages]

The chiral anomaly from M theory

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Umut Gürsoy*
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Sean A. Hartnoll and Rubén Portugues
DAMTP, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

Received 28 November 2003; published 16 April 2004

We argue that the chiral anomaly of N=1 super Yang-Mills theory admits a dual description as spontaneous symmetry breaking in M theory on G2 holonomy manifolds. We identify an angle of the G2 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.086003
DOI:
10.1103/PhysRevD.69.086003
PACS:
11.25.Tq, 04.65.+e, 11.30.Rd

*Email address: umut@mit.edu

Email address: s.a.hartnoll@damtp.cam.ac.uk

Email address: r.portugues@damtp.cam.ac.uk