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.

24 pages, minor corrections, published version

References in corpus (9)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Deconstruction and other approaches to supersymmetric lattice field theories
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Relationship between various supersymmetric lattice models
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding

Cited by in corpus (3)

• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Twisted 3D $N=4$ Supersymmetric YM on deformed ${\mathbb{A}}_3^{\ast }$ Lattice