Lattice2010

Session

Parallel 47: Theoretical developments

17 Jun 2010, 14:30

Villasimius, Sardinia

27. Species doublers as supermultiplet partners in lattice supersymmetry: ---General outlook---

Noboru Kawamoto (Hokkaido University)

17/06/2010, 14:30

Theoretical developments

Species doublers of chiral fermions have been considered as unwanted particles. We propose a new formulation where the species doublers play a crucial role as supermultiplet partners of lattice supersymmetry. The basic ideas for the simplest model together with the general philosophy of the formulation and the connection with the link approach will be explicitly explained.

34. Species doublers as supermultiplet partners in lattice supersymmetry. The supersymmetric quantum mechanics case.

Alessandro D'adda (INFN, Sezione di Torino and Dipartimento Fisica Teorica, Università di Torino)

17/06/2010, 14:50

Theoretical developments

By interpreting species doublers as members of the same supermultiplet we describe the N=2 supersymmetric quantum mechanichs (including interaction) on a lattice with both supersymmetries exactly realized. Supersymmetric Ward identities are satisfies and the continuum limit is smooth. Interaction is non-local on the lattice, but locality is recovered in the continuum limit.

162. Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence

Masazumi Honda (SOKENDAI,KEK)

17/06/2010, 15:10

Theoretical developments

We perform Monte Carlo simulation of the plane-wave matrix model or the BMN matrix model, which has 16 supercharges. The model has many degenerate supersymmetric vacua, and by picking up a particular one, we can obtain 4d N = 4 super Yang-Mills theory on R*S^3 in the planar limit based on the idea of a novel large-N reduction. We study correlation functions of non-extremal operators, and find...

81. Witten index from lattice simulation

Issaku Kanamori (INFN, Torino and Univ. of Turin)

17/06/2010, 15:30

Theoretical developments

I propose a method for measuring the Witten index using a lattice simulation. The index is useful to discuss spontaneous breaking of supersymmetry. As a test of the method, I also report some numerical results for the supersymmetric quantum mechanics, for which the index is known.

262. A study of N=2 Landau-Ginzburg model by lattice simulation based on a Nicolai map

Hiroki Kawai (University of Tokyo)

17/06/2010, 15:50

Theoretical developments

It is conjectured that the two-dimensional N=2 Wess-Zumino model with a quasi-homogeneous superpotential provides a Landau-Ginzburg description of the N=2 superconformal minimal models. For the simplest cubic superpotential W=¥lambda ¥Phi^3 /3, it is expected that the Wess-Zumino model describes A_{2} model and the chiral superfield ¥Phi shows the conformal weight (h,¥bar{h})=(1/6,1/6) at the...