论文标题

有关Seiberg-Witten理论和可怕的月光的更多信息

More on Seiberg-Witten Theory and Monstrous Moonshine

论文作者

Mizoguchi, Shun'ya, Oikawa, Takumi, Tashiro, Hitomi, Yata, Shotaro

论文摘要

我们继续研究Seiberg-Witten(SW)的Instanton扩展($ d = 4 $,$ {\ cal n} = 2 $ $ $ su(2)$ SUSY GAUGE理论与Motstrous Moonshine之间的关系。 Extending the previous results, we show for the cases of $N_f=2$ and $3$ that $q=e^{2πiτ}$, where $τ$ is the complex gauge coupling, again has an expansion whose coefficients are all integer-coefficient polynomials of the moonshine coefficients of the modular $j$-function in terms of an appropriate expansion variable.我们还证明,通过执行一些明确的计算,可以计算此处开发的SW预势的新方法很有用。

We continue the study of a relationship between the instanton expansion of the Seiberg-Witten (SW) prepotential of $D = 4$, ${\cal N }= 2$ $SU(2)$ SUSY gauge theory and the monstrous moonshine. Extending the previous results, we show for the cases of $N_f=2$ and $3$ that $q=e^{2πiτ}$, where $τ$ is the complex gauge coupling, again has an expansion whose coefficients are all integer-coefficient polynomials of the moonshine coefficients of the modular $j$-function in terms of an appropriate expansion variable. We also demonstrate that the new method of calculating the SW prepotential developed here is useful by performing some explicit computations.

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