Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry

Abstract

We derive lattice actions for Yang-Mills quantum mechanics for models with $\cQ=4, 8$ and 16 supercharges which possess an exact supersymmetry at non-zero lattice spacing. These are obtained by dimensional reduction of twisted versions of the corresponding super Yang-Mills theories in $D=2,3$ and 4 dimensions.

arXiv comment24 pages, minor corrections, published version

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• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Holographic renormalization for coincident Dp-branes
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• An object oriented code for simulating supersymmetric Yang--Mills theories
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Modeling of Superconducting Stripe Phases in High-Tc Cuprates
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• Twisted 3D $N=4$ Supersymmetric YM on deformed ${\mathbb{A}}_3^{\ast }$ Lattice