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It is believed that the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino model becomes the $\mathcal{N}=2$ superconformal field theory (SCFT) in the infrared (IR) limit. We examine this theoretical conjecture of the Landau--Ginzburg…

高能物理 - 格点 · 物理学 2019-12-06 Okuto Morikawa , Hiroshi Suzuki

It has been conjectured that the two-dimensional N=2 Wess-Zumino model with a quasi-homogeneous superpotential provides the Landau-Ginzburg description of the N=2 superconformal minimal models. For the cubic superpotential W=(lambda)…

高能物理 - 格点 · 物理学 2011-04-21 Hiroki Kawai , Yoshio Kikukawa

At an extremely low-energy scale, it is believed that the two-dimensional $\mathcal{N}=2$ Wess--Zumino model becomes an $\mathcal{N}=2$ superconformal field theory (SCFT). We study this theoretical conjecture of the Landau--Ginzburg (LG)…

高能物理 - 格点 · 物理学 2019-08-19 Okuto Morikawa

The $\mathcal{N}=2$ Landau--Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional…

高能物理 - 格点 · 物理学 2019-10-17 Okuto Morikawa

In the low energy limit, the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino (WZ) model with a quasi-homogeneous superpotential is believed to become a superconformal field theory. This conjecture of the Landau--Ginzburg (LG)…

高能物理 - 格点 · 物理学 2018-12-26 Okuto Morikawa

A nonperturbative formulation of the Wess-Zumino (WZ) model in two and three dimensions is proposed on the basis of momentum-modes truncation. The formulation manifestly preserves full supersymmetry as well as the translational invariance…

高能物理 - 理论 · 物理学 2010-02-01 Daisuke Kadoh , Hiroshi Suzuki

For lattice formulations of the two-dimensional $\mathcal{N}=(2,2)$ Wess--Zumino (2D $\mathcal{N}=(2,2)$ WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetries are restored in the continuum limit…

高能物理 - 格点 · 物理学 2011-01-27 Daisuke Kadoh , Hiroshi Suzuki

We study the superconformal and super-BRS invariance of the supersymmetric Wess-Zumino-Witten model based on Lie superalgebra. The computation of the critical super-dimension of this model is done using the Fujikawa regularization. Finally,…

高能物理 - 理论 · 物理学 2009-11-07 L. Mesref

We consider the two-dimensional N=(2,2) Wess-Zumino model with a cubic superpotential at weak and intermediate couplings. Refined algorithms allow for the extraction of reliable masses in a region where perturbation theory no longer…

高能物理 - 格点 · 物理学 2008-11-26 Tobias Kaestner , Georg Bergner , Sebastian Uhlmann , Andreas Wipf , Christian Wozar

We study lattice formulations of the two-dimensional N=2 Wess-Zumino model with a cubic superpotential. Discretizations with and without lattice supersymmetries are compared. We observe that the "Nicolai improvement" introduces new problems…

高能物理 - 格点 · 物理学 2010-01-21 Christian Wozar , Georg Bergner , Tobias Kaestner , Sebastian Uhlmann , Andreas Wipf

We study the supersymmetric N=(2,2) Wess-Zumino model in two dimensions with the functional renormalization group. At leading order in the supercovariant derivative expansion we recover the nonrenormalization theorem which states that the…

高能物理 - 理论 · 物理学 2010-11-17 Franziska Synatschke-Czerwonka , Thomas Fischbacher , Georg Bergner

We study a Wess-Zumino-Witten model with target space AdS_3 x (S^3 x S^3 x S^1)/Z_2. This allows us to construct space-time N=3 superconformal theories. By combining left-, and right-moving parts through a GSO and a Z_2 projections, a new…

高能物理 - 理论 · 物理学 2009-10-31 S. Yamaguchi , Y. Ishimoto , K. Sugiyama

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 {\it exactly} a single supersymmetric invariance at finite lattice spacing $a$.…

高能物理 - 格点 · 物理学 2011-07-28 Simon Catterall , Sergey Karamov

We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group formulated in terms of a manifestly off-shell supersymmetric…

高能物理 - 理论 · 物理学 2009-11-06 Franziska Synatschke , Holger Gies , Andreas Wipf

By imposing the weighted renormalization condition and the (super)symmetry requirements, we construct a Lifshitz-like extension of the three-dimensional Wess-Zumino model, with dynamical critical exponent z=2. In this context, the auxiliary…

高能物理 - 理论 · 物理学 2019-06-26 E. A. Gallegos

We analyze the $\mathcal{N}=1$ supersymmetric Wess-Zumino model dimensionally reduced to the $\mathcal{N}=2$ supersymmetric model in three Euclidean dimensions. As in the original model in four dimensions and the $\mathcal{N}=(2,2)$ model…

高能物理 - 理论 · 物理学 2018-11-21 Polina Feldmann , Andreas Wipf , Luca Zambelli

In this article we explore the R-symmetry of the (2,2) 2d Wess-Zumino model. We study whether or not this symmetry is approximately realized in the Q-exact lattice version of this theory. Our study is nonperturbative: it relies on Monte…

高能物理 - 格点 · 物理学 2010-04-05 Joel Giedt

We examine the N=2 Wess-Zumino model defined on the $d=2$ Euclidean lattice in connection with a restoration of the Leibniz rule in the limit $a\to0$ in perturbatively finite theory. We are interested in the difference between the Wilson…

高能物理 - 格点 · 物理学 2009-11-07 Kazuo Fujikawa

In this paper, we study the restoration of gauge symmetry and up to half the supersymmetry (N=(2,0) or N=(1,1) in two dimensions) for N=2 non-Abelian Chern-Simons theories in the presence of a boundary. We describe the boundary action which…

高能物理 - 理论 · 物理学 2016-12-08 Mir Faizal , Yuan Luo , Douglas J Smith , Meng-Chwan Tan , Qin Zhao

We investigate $N=2$ extended superconformal symmetry, using the half-twisted Landau-Ginzburg models. The first example is the $D_{2n+2}$ -type minimal model. It has been conjectured that this model has a spin $n$ super $W$ current. We…

高能物理 - 理论 · 物理学 2015-06-26 Kenji Mohri
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