Complete supersymmetry on the lattice and a No-Go theorem

  title={Complete supersymmetry on the lattice and a No-Go theorem},
  author={Georg Bergner},
  journal={Journal of High Energy Physics},
  • G. Bergner
  • Published 28 September 2009
  • Physics
  • Journal of High Energy Physics
In this work a lattice formulation of a supersymmetric theory is proposed and tested that preserves the complete supersymmetry on the lattice. The results of a onedimensional nonperturbative simulation show the realization of the full supersymmetry and the correct continuum limit of the theory. It is proven here that the violation of supersymmetry due to the absence of the Leibniz rule on the lattice can be amended only with a nonlocal derivative and nonlocal interaction term. The fermion… 
Supersymmetry on the lattice and the status of the Super-Yang-Mills simulations
Supersymmetry (SUSY) and supersymmetric field theories are an interesting topic for numerical lattice simulations. Similar to the chiral symmetry there i s also no local realization of (interacting)
Lattice Supersymmetry: Some Ideas from Low Dimensional Models
In the framework of the so called link approach we study exact lattice supersymmetry for the simplest supersymmetric model: N = 1 supersymmetry in D = 1. The model is described by a lattice with
An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry-Summary of the Formulation-
We propose a lattice field theory formulation which overcomes some fundamental diffculties in realizing exact supersymmetry on the lattice. The Leibniz rule for the difference operator can be
Improved lattice actions for supersymmetric quantum mechanics
We analyze the Euclidean version of supersymmetric quantum mechanics on the lattice by means of a numerical path integral. We consider two different lattice derivatives and improve the actions
Supersymmetric Yang-Mills theory: a step towards the continuum
The spectrum of supersymmetric Yang-Mills theory presented so far shows an unexpected gap between the bosonic and fermionic masses. This finding was in contradiction with the basic requirements of
Non-renormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule
N=4 supersymmetric quantum mechanical model is formulated on the lattice. Two supercharges, among four, are exactly conserved with the help of the cyclic Leibniz rule without spoiling the locality.
Nonperturbative aspects of supersymmetric quantum field theories in low dimensions
Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a
An alternative lattice field theory formulation inspired by lattice supersymmetry
A bstractWe propose an unconventional formulation of lattice field theories which is quite general, although originally motivated by the quest of exact lattice supersymmetry. Two long standing


No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice
An obstacle to realize supersymmetry on a lattice is the breakdown of Leibniz rule. We give a proof of a no-go theorem that it is impossible to construct a lattice field theory in an infinite lattice
A two-dimensional lattice model with exact supersymmetry
Supersymmetric models on the lattice
Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
The lattice superalgebra of the link approach is shown to satisfy a Hopf algebraic supersymmetry where the difference operators are introduced as momentum operators. The violation of the Leibniz rule
This paper contains both a review of recent approaches to supersymmetric lattice field theories and some new results on the deconstruction approach. The essential reason for the complex phase problem
Supersymmetry on the lattice and the Leibniz rule
Noncommutativity approach to supersymmetry on the lattice: Supersymmetric quantum mechanics and an inconsistency
It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism
Less naive about supersymmetric lattice quantum mechanics
We explain why naive discretization results that have appeared in [1] do not appear to yield the desired continuum limit. The fermion propagator on the lattice inevitably yields a diagram with