We present three different Type IIB AdS₄ Supergravity solutions, derived using the electrostatic-like problem formalism which preserves 8 Poincaré Supercharges. Two of these solutions correspond to the Abelian and non-Abelian T-duals of a Type IIA background, obtained from the dimensional reduction of 11D AdS${}_4\times S^7$ Supergravity. The third solution is a new background with some special properties. We compute the Page charges in each case, and provide brane set-up descriptions of the geometries. Also, we argue that the non-Abelian T-dual can be understood as a zoom-in of a more general background with a well defined holographic dual.

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非阿贝尔T对偶及其全息描述的评论

我们提出了三种不同的 IIB 型 AdS ₄超重力解决方案，它们是使用保留 8 个庞加莱超荷的类静电问题形式派生的。其中两个解对应于 IIA 型背景的阿贝尔和非阿贝尔 T-对偶，从 11D AdS 的降维获得${}_4\times {\mathrm{小号}}^7$超重力。第三种解决方案是具有一些特殊属性的新背景。我们计算每种情况下的页面费用，并提供几何形状的膜设置描述。此外，我们认为非阿贝尔 T 对偶可以理解为具有明确定义的全息对偶的更一般背景的放大。