Poisson–Lie $T$-plurality constructs a chain of supergravity solutions from a Poisson–Lie symmetric solution. We study the Poisson–Lie $T$-plurality for supergravity solutions with $H$-flux, which are not Poisson–Lie symmetric but admit non-Abelian isometries, $\pounds_{v_a}g_{mn}=0$ and $\pounds_{v_a}H_3=0$ with $\pounds_{v_a}B_2\neq 0$. After introducing the general procedure, we study the Poisson–Lie $T$-plurality for two Wess–Zumino–Witten backgrounds, AdS$_3$ with $H$-flux and the Nappi–Witten background.

中文翻译：

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WZW 背景的 Poisson-Lie T-复数

Poisson-Lie $T$-plurality 从 Poisson-Lie 对称解构造超重力解链。我们研究了具有 $H$-flux 的超重力解的 Poisson-Lie $T$-复数，它不是 Poisson-Lie 对称的但承认非阿贝尔等距，$\pounds_{v_a}g_{mn}=0$ 和 $ \pounds_{v_a}H_3=0$ 与 $\pounds_{v_a}B_2\neq 0$。在介绍了一般程序之后，我们研究了两个 Wess-Zumino-Witten 背景的 Poisson-Lie $T$-复数，具有 $H$-flux 和 Nappi-Witten 背景的 AdS$_3$。