Deconstruction, Lattice Supersymmetry, Anomalies and Branes

Abstract

We study the realization of anomalous Ward identities in deconstructed (latticized) supersymmetric theories. In a deconstructed four-dimensional theory with N=2 supersymmetry, we show that the chiral symmetries only appear in the infrared and that the anomaly is reproduced in the usual framework of lattice perturbation theory with Wilson fermions. We then realize the theory on the world-volume of fractional D-branes on an orbifold. In this brane realization, we show how deconstructed theory anomalies can be computed via classical supergravity. Our methods and observations are more generally applicable to deconstructed/latticized supersymmetric theories in various dimensions.

arXiv comment1+27 pages, 2 figures, references added

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• Brane Boxes, Anomalies, Bending and Tadpoles
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Cited by in corpus (29)

• Exact lattice supersymmetry
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Generalizations of the AdS/CFT correspondence
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
• Twisted Superspace on a Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Deconstruction and other approaches to supersymmetric lattice field theories
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• The fermion determinant in (4,4) 2d lattice super-Yang-Mills
• Lattice Sigma Models with Exact Supersymmetry
• Lattice formulation of (2,2) supersymmetric gauge theories with matter fields
• Twisted supersymmetric sigma model on the lattice
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
• Comments on large-N volume independence
• Warped Domain Wall Fermions
• Exact Vacuum Energy of Orbifold Lattice Theories
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Deconstructing KK Monopoles
• Towards the deconstruction of M-theory
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Quark and Lepton Masses from Deconstruction
• Lattice supersymmetry and string phenomenology
• A deconstruction lattice description of the D1/D5 brane world-volume gauge theory