Exact lattice supersymmetry: The two-dimensional N = 2 Wess-Zumino model

Simon Catterall, Sergey Karamov

Research output: Contribution to journalArticle

90 Scopus citations

Abstract

We study the two-dimensional Wess-Zumino model with extended N = 2 supersymmetry on the lattice. The lattice prescription we choose has the merit of preserving exactly a single supersymmetric invariance at finite lattice spacing a. Furthermore, we construct three other transformations of the lattice fields under which the variation of the lattice action vanishes to O(ga2) where g is a typical interaction coupling. These four transformations correspond to the two Majorana supercharges of the continuum theory. We also derive lattice Ward identities corresponding to these exact and approximate symmetries. We use dynamical fermion simulations to check the equality of the mass gaps in the boson and fermion sectors and to check the lattice Ward identities. At least for weak coupling we see no problems associated with a lack of reflection positivity in the lattice action and find good agreement with theory. At strong coupling we provide evidence that problems associated with a lack of reflection positivity are evaded for small enough lattice spacing.

Original languageEnglish (US)
Article number094501
Pages (from-to)945011-9450110
Number of pages8505100
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume65
Issue number9 B
StatePublished - May 1 2002

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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