Overlap formula for the chiral multiplet

Abstract

The vacuum overlap formalism is extended to describe the supersymmetric multiplet of a Weyl fermion, a complex scalar boson and an auxiliary field in the case without interaction, based on the fact that supersymmetry can be maintained upto quadratic terms by introducing bosonic species doublers. We also obtain a local action which describes the chiral multiplet and discuss its symmetry structure. It is shown that, besides the manifest supersymmetry, the action possesses a chiral symmetry of the type given by Lüscher and analogous bosonic symmetries which may be regarded as independent infinitesimal rotations of complex phases of the scalar and the auxiliary fields. This implies that the $U(1)\times U(1{)}_R$ symmetry of the chiral multiplet can be exact on the lattice.

16 pages, LaTeX2e, some corrections in the introduction

References in corpus (11)

• Exactly massless quarks on the lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• Vector like gauge theories with almost massless fermions on the lattice
• Overlap in odd dimensions
• Ginsparg-Wilson relation and the overlap formula
• A numerical test of the continuum index theorem on the lattice
• Lattice Formulation of Supersymmetric Yang-Mills Theories without Fine-Tuning
• Finite size corrections in two dimensional gauge theories and a quantitative chiral test of the overlap
• Monte Carlo evaluation of a fermion number violating observable in 2D
• The Overlap Formalism and Topological Susceptibility on the Lattice

Cited by in corpus (20)

• Deconstruction and other approaches to supersymmetric lattice field theories
• Super Yang-Mills on the lattice with domain wall fermions
• Non-positive fermion determinants in lattice supersymmetry
• Nicolai mapping vs. exact chiral symmetry on the lattice
• Supersymmetry on the lattice and the Leibniz rule
• The fermion determinant in (4,4) 2d lattice super-Yang-Mills
• One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion
• Lattice chiral symmetry, Yukawa couplings and the Majorana condition
• N=2 Wess-Zumino model on the d=2 Euclidean lattice
• Real Representation in Chiral Gauge Theories on the Lattice
• Lattice Chiral Symmetry and the Wess-Zumino Model
• Supersymmetric nonperturbative formulation of the WZ model in lower dimensions
• A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Translational Anomaly in Chiral Gauge Theories on a Torus and the Overlap Formalism
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals
• Lattice supersymmetry and string phenomenology
• A Note on Reflection Positivity and the Umezawa-Kamefuchi-Kallen-Lehmann Representation of Two Point Correlation Functions