Hiroshi Suzuki

Restoration of supersymmetry on the lattice: Two-dimensional N=(2,2) supersymmetric Yang–Mills theory

Abstract By numerically investigating the conservation law of the supercurrent, we confirm the restoration of supersymmetry in Suginos lattice formulation of the two-dimensional N = ( 2 , 2 ) supersymmetric SU ( 2 ) Yang–Mills theory with a scalar mass term. Subtlety in the case without the scalar mass term, that appears to ruin perturbative power counting, is also pointed out.

Euclidean lattice simulation for dynamical supersymmetry breaking

The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in Euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a Hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional

Observing dynamical supersymmetry breaking with euclidean lattice simulations

mathcal{N}=(2,2)

{BRS} Anomaly and the Weyl Freedom in String Theory

super Yang-Mills theory with the gauge group

Supersymmetric nonperturbative formulation of the WZ model in lower dimensions

mathrm{SU}(2)

Some physics of the two-dimensional N = (2, 2) supersymmetric Yang-Mills theory: Lattice Monte Carlo study

, for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system.

Lattice formulation of 2D N = (2, 2) SQCD based on the B model twist

A strict positivity of the ground-state energy is a necessary and sufficient condition for spontaneous supersymmetry breaking. This ground-state energy may be directly determined from the expectation value of the Hamiltonian in the functional integral, defined with an emph{antiperiodic} temporal boundary condition for all fermionic variables. We propose to use this fact to observe the dynamical spontaneous supersymmetry breaking in Euclidean lattice simulations. If a lattice formulation possesses a manifestly preserved fermionic symmetry, there exists a natural choice of a Hamiltonian operator that is consistent with a topological nature of the Witten index. We numerically confirm the validity of our idea in models of supersymmetric quantum mechanics. We further examine the possibility of dynamical supersymmetry breaking in the two-dimensional

BRS current and related anomalies in two-dimensional gravity and string theories

mathcal{N}=(2,2)

Note on Massless Bosonic States in Two-Dimensional Field Theories

super Yang-Mills theory with the gauge group SU(2), for which the Witten index is unknown. Although statistical errors are still large, we do not observe positive ground-state energy, at least within one standard deviation. This prompts us to draw a different conclusion from a recent conjectural claim that supersymmetry is dynamically broken in this system.

The bosonic string at D<26 and the higgs mechanism

Abstract It is shown that an anomalous correction to the BRS current ΔJ z =( 3 4 π)∂ z 2 c z in bosonic string theory essentially corresponds to the surface term ( 3 8 π)ʃ∂ α (c α √gR) d 2 x in the anomalous jacobain factor. To make this correspondense explicit in the operator level, we present a quantization of a free string at D