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Numerical study of the N = 2 $$ mathcal{N}=2 $$ Landau-Ginzburg model with two superfields

机译: n = 2 $$ mathcal {n} = 2 $$ Landau-Ginzburg模型与两个超级菲尔德

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A bstract In the low energy limit, the two-dimensional massless N = 2 $$ mathcal{N}=2 $$ Wess-Zumino (WZ) model with a quasi-homogeneous superpotential is believed to become a superconformal field theory. This conjecture of the Landau-Ginzburg (LG) description has been studied numerically in the case of the A ~(2), A ~(3), and E ~(6)minimal models. In this paper, by using a supersymmetric-invariant non-perturbative formulation, we simulate the WZ model with two superfields corresponding to the D ~(3), D ~(4), and E ~(7)models. Then, we numerically determine the central charge, and obtain the results that are consistent with the conjectured correspondence. We hope that this numerical approach, when further developed, will be useful to investigate superstring theory via the LG/Calabi-Yau correspondence.
机译:在低能量限制中的虚拟性,二维全袋n = 2 $$ Mathcal {n} = 2 $$ WESS-Zumino(WZ)模型与准均匀的超级正相态被认为成为超成形场理论。 该猜想LANDAU-GINZBURG(LG)描述在A〜(2),A〜(3)和E〜(6)最小模型的情况下进行了数值进行了数值研究。 在本文中,通过使用超对对称的非扰动配方,我们模拟了与D〜(3),D〜(4)和E〜(7)模型对应的两个超级场的WZ模型。 然后,我们在数值上确定中心电荷,并获得与猜测对应一致的结果。 我们希望在进一步开发的情况下,这种数值方法将通过LG / Calabi-yau对应来调查超人理论。

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