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

Okuto Morikawa

doi:10.48550/arxiv.1810.02519

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>In the low energy limit, the two-dimensional massless <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \mathcal{N}=2 $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> </jats:alternatives> </jats:inline-formula> 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 <jats:italic>A</jats:italic> <jats:sub>2</jats:sub>, <jats:italic>A</jats:italic> <jats:sub>3</jats:sub>, and <jats:italic>E</jats:italic> <jats:sub>6</jats:sub> minimal models. In this paper, by using a supersymmetric-invariant non-perturbative formulation, we simulate the WZ model with two superfields corresponding to the <jats:italic>D</jats:italic> <jats:sub>3</jats:sub>, <jats:italic>D</jats:italic> <jats:sub>4</jats:sub>, and <jats:italic>E</jats:italic> <jats:sub>7</jats:sub> 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.</jats:p>

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

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

書誌事項

説明

収録刊行物

被引用文献 (1)*注記

参考文献 (49)*注記

関連プロジェクト

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