Loop formulation of supersymmetric Yang-Mills quantum mechanics

Abstract

We derive the fermion loop formulation of N=4 supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions to the partition function into its bosonic and fermionic parts with fixed fermion number and provides a way to control potential fermion sign problems arising in numerical simulations of the theory. Furthermore, we present a reduced fermion matrix determinant which allows the projection into the canonical sectors of the theory and hence constitutes an alternative approach to simulate the theory on the lattice.

20 pages, 3 figures

References in corpus (6)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Low-dimensional Supersymmetric Lattice Models
• Phase structure of matrix quantum mechanics at finite temperature
• Gauge invariant plane-wave solutions in supersymmetric Yang-Mills quantum mechanics