Issaku Kanamori

Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions

Abstract We propose a lattice action for two-dimensional super-Yang–Mills theory with a twisted N = 2 supersymmetry. The extended supersymmetry is fully and exactly realized on the lattice. The method employed is quite general and its extension to the N = 4 supersymmetry in four dimensions is briefly presented. The lattice has a new type of “fermionic” links, where odd Grassmann variables, supercharges and fermionic connections sit. The Leibniz rule is preserved on the lattice, although in a modified “shifted” form that takes into account the link nature of both derivatives and supercharges. Superfields are semi-local objects and superfield expansion is naturally embedded in the lattice structure. The Dirac–Kahler twist generates the extended twisted supersymmetry, turning the multiplicity of species doublers into the multiplicity due to the extended supersymmetry. In this way the balance between bosonic and fermionic degrees of freedom is preserved.

Twisted superspace on a lattice

Abstract We propose a new formulation which realizes exact twisted supersymmetry for all the supercharges on a lattice by twisted superspace formalism. We show explicit examples of N = 2 twisted supersymmetry invariant BF and Wess–Zumino models in two dimensions. We introduce mild lattice non-commutativity to preserve Leibniz rule on the lattice. The formulation is based on the twisted superspace formalism for N = D = 2 supersymmetry which was proposed recently. From the consistency condition of the non-commutativity of superspace, we find an unexpected three-dimensional lattice structure which may reduce into two-dimensional lattice where the superspace describes semilocally scattered fermions and bosons within a double size square lattice.

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.

Lattice study of two-dimensional N = ( 2 , 2 ) super Yang-Mills theory at large N

We study two-dimensional

Euclidean lattice simulation for dynamical supersymmetry breaking

\mathcal{N}=(2,2)

Absence of sign problem in two-dimensional \mathcal{N} = \left( {2,2} \right) super Yang-Mills on lattice

SU(N)

DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE

super Yang-Mills theory on Euclidean two-torus using Suginos lattice regularization. We perform the Monte Carlo simulation for

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

N=2,3,4,5

Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino⁎†

and then extrapolate the result to