On the Landau-Ginzburg description of N=2 minimal models

On the Landau-Ginzburg description of N=2 minimal models
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关于 N=2 最小模型的 Landau-Ginzburg 描述

DOI:
10.1142/s0217751x9400193x
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发表时间:
1993
影响因子:
1.6
通讯作者:
E. Witten
E. Witten
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
E. Witten

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通过计算具有一定扭曲边界条件的Landau-Ginzburg模型的路径积分,可以验证二维N=2极小模型是超重整化Landau-Ginzburg模型的临界点的猜想。这导致N=2模型的某些特征的简单表达式,至少可以在低水平上进行验证。事实上,在非临界Landau-Ginzburg系统中可以直接找到一个N=2的超共形代数,从而进一步支持了该猜想。
The conjecture that N=2 minimal models in two dimensions are critical points of a superrenormalizable Landau-Ginzburg model can be tested by computing the path integral of the Landau-Ginzburg model with certain twisted boundary conditions. This leads to simple expressions for certain characters of the N=2 models which can be verified at least at low levels. An N=2 superconformal algebra can in fact be found directly in the noncritical Landau-Ginzburg system, giving further support for the conjecture.