The chiral anomaly from M theory

Abstract

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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References in corpus (37)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Towards the large N limit of pure N=1 super Yang Mills
• D-Branes and Topological Field Theories
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• Superstrings and Topological Strings at Large N
• An M-theory Flop as a Large N Duality
• Gauge Theory at Large N and New G_2 Holonomy Metrics
• Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy
• On Realising N=1 Super Yang-Mills in M theory
• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• A Gravity Dual of the Chiral Anomaly
• D6 branes and M theory geometrical transitions from gauged supergravity
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• G(2) Holonomy Spaces from Invariant Three-Forms
• A G_2 Unification of the Deformed and Resolved Conifolds
• A note on the dual of N=1 super Yang-Mills theory
• Some Comments on N=1 Gauge Theories from Wrapped Branes
• Anatomy of Two Holographic Renormalization Group Flows
• M-theory Conifolds
• D-Branes, Holonomy and M-Theory
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• More Anomalies from Fractional Branes
• General Metrics of G_2 Holonomy and Contraction Limits
• An eight-dimensional approach to G_2 manifolds
• Orientifolds and Slumps in G_2 and Spin(7) Metrics
• Correlation functions in a cascading N=1 gauge theory from supergravity
• On the holographic duals of N=1 gauge dynamics
• (Anti-)Instantons and the Atiyah-Hitchin Manifold
• A New Fractional D2-brane, G_2 Holonomy and T-duality
• Current correlators in the Coulomb branch of N=4 SYM
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• The Holographic RG flow to conformal and non-conformal theory
• Axisymmetric non-abelian BPS monopoles from G_2 metrics

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• Towards Supergravity Duals of Chiral Symmetry Breaking in Sasaki-Einstein Cascading Quiver Theories
• Gauge/String Duality in Confining Theories
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