Novel Approach to Super Yang-Mills Theory on Lattice - Exact fermionic symmetry and "Ichimatsu" pattern -

Abstract

We present a lattice theory with an exact fermionic symmetry, which mixes the link and the fermionic variables. The staggered fermionic variables may be reconstructed into a Majorana fermion in the continuum limit. The gauge action has a novel structure. Though it is the ordinary plaquette action, two different couplings are assigned in the ``Ichimatsu pattern'' or the checkered pattern. In the naive continuum limit, the fermionic symmetry survives as a continuum (or an $O(a^0)$) symmetry. The transformation of the fermion is proportional to the field strength multiplied by the difference of the two gauge couplings in this limit. This work is an extension of our recently proposed cell model toward the realization of supersymmetric Yang-Mills theory on lattice.

26 pages, 4 figures

References in corpus (9)

• Super Yang-Mills on the lattice with domain wall fermions
• The supersymmetric Ward identities on the lattice
• Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos
• One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion
• Towards the Super Yang-Mills Theory on the Lattice
• SUSY Ward identities in N=1 SYM theory on the lattice
• SUSY Ward identities in 1-loop perturbation theory
• Lattice supersymmetric Ward identities
• Fermionic Symmetry in Ichimatsu-Decomposed Lattice Models

Cited by in corpus (28)

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• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
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• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• TeV Mini Black Hole Decay at Future Colliders
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Yangians, S-matrices and AdS/CFT
• Black Holes at LHC?
• Relationship between various supersymmetric lattice models
• Perturbative Study of the Supersymmetric Lattice Theory from Matrix Model
• Quantum Gravity Effects in Black Holes at the LHC
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• N=1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry
• A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
• Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino
• Three Dimensional N=2 Supersymmetry on the Lattice
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• The Supersymmetric Ward-Takahashi Identity in 1-Loop Lattice Perturbation Theory. I. General Procedure
• 3D N = 1 SYM Chern-Simons theory on the Lattice
• Mini Black Holes in the first year of the LHC
• Hawking evaporation of cosmogenic black holes in TeV-gravity models
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Gauge Theories as String Theories: the First Results
• Microcanonical treatment of black hole decay at the Large Hadron Collider
• Staggered Fermion, its Symmetry and Ichimatsu-Patterned Lattice