标题： Wakimoto构造对于双环面代数和$ζ$-函数正则化 显示英文标题

标题： Wakimoto construction for double loop algebras and $ζ$-function regularisation

摘要： Feigin-Frenkel 同态支撑着 Wakimoto 构造，它用自由场的$\beta\gamma$-系统表示了临界水平上的仿射李代数。 最近的研究表明，这一构造的大部分对于双环面代数也同样适用。 然而，某些发散和出现。 在本文中，我们展示，具有提示性的是，当执行$\zeta$-函数正则化时，这些和消失。 显示英文摘要

摘要： The Feigin-Frenkel homomorphism underpinning the Wakimoto construction realises an affine Lie algebra at critical level in terms of the $\beta\gamma$-system of free fields. It was recently shown that much of the construction also goes through for double loop algebras. However, certain divergent sums appear. In this paper, we show that, suggestively, these sums vanish when one performs $\zeta$-function regularisation.