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.

arXiv comment20 pages, 3 figures

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Cited by in corpus (6)

• Progress and prospects of lattice supersymmetry
• Lattice studies of supersymmetric gauge theories
• Supersymmetric quantum mechanics on the lattice: I. Loop formulation
• What lattice theorists can do for superstring/M-theory
• Supersymmetric quantum mechanics on the lattice: II. Exact results
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions