TY - JOUR

T1 - Numerical simulation of the N=(2,2) Landau-Ginzburg model

AU - Kamata, Syo

AU - Suzuki, Hiroshi

N1 - Funding Information:
We would like to thank Michael G. Endres, Kazuo Fujikawa, Masafumi Fukuma, Daisuke Kadoh, Hikaru Kawai, Akitsugu Miwa, and Tsuneo Uematsu for discussions and comments. We are quite indebted to Hiroki Kawai and Yoshio Kikukawa for discussions and detailed explanation on the simulation in Ref. [15] and to Michael G. Endres for a careful reading of the manuscript. Our numerical calculations were carried out by using the RIKEN Integrated Cluster of Clusters (RICC) facility. The work of H.S. is supported in part by a Grant-in-Aid for Scientific Research , 22340069 and 23540330 .

PY - 2012/1/21

Y1 - 2012/1/21

N2 - The two-dimensional N=(2,2) Wess-Zumino (WZ) model with a cubic superpotential is numerically studied with a momentum-cutoff regularization that preserves supersymmetry. A numerical algorithm based on the Nicolai map is employed and the resulting configurations have no autocorrelation. This system is believed to flow to an N=(2,2) superconformal field theory (SCFT) in the infrared (IR), the A2 model. From a finite-size scaling analysis of the susceptibility of the scalar field in the WZ model, we determine 1-h-h̄=0.616(25)(13) for the conformal dimensions h and h̄, while 1-h-h̄=0.666. . for the A2 model. We also measure the central charge in the IR region from a correlation function between conserved supercurrents and obtain c=1.09(14)(31) (c=1 for the A2 model). These results are consistent with the conjectured emergence of the A2 model, and at the same time demonstrate that numerical studies can be complementary to analytical investigations for this two-dimensional supersymmetric field theory.

AB - The two-dimensional N=(2,2) Wess-Zumino (WZ) model with a cubic superpotential is numerically studied with a momentum-cutoff regularization that preserves supersymmetry. A numerical algorithm based on the Nicolai map is employed and the resulting configurations have no autocorrelation. This system is believed to flow to an N=(2,2) superconformal field theory (SCFT) in the infrared (IR), the A2 model. From a finite-size scaling analysis of the susceptibility of the scalar field in the WZ model, we determine 1-h-h̄=0.616(25)(13) for the conformal dimensions h and h̄, while 1-h-h̄=0.666. . for the A2 model. We also measure the central charge in the IR region from a correlation function between conserved supercurrents and obtain c=1.09(14)(31) (c=1 for the A2 model). These results are consistent with the conjectured emergence of the A2 model, and at the same time demonstrate that numerical studies can be complementary to analytical investigations for this two-dimensional supersymmetric field theory.

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U2 - 10.1016/j.nuclphysb.2011.09.007

DO - 10.1016/j.nuclphysb.2011.09.007

M3 - Article

AN - SCOPUS:80054079872

VL - 854

SP - 552

EP - 574

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -