Arutyunov Gleb, van Tongeren Stijn J
Phys Rev Lett. 2014 Dec 31;113(26):261605. doi: 10.1103/PhysRevLett.113.261605.
Doing a double Wick rotation in the world sheet theory of the light cone AdS5×S(5) superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in the AdS-CFT correspondence. We show that this mirror theory can be interpreted as the light cone theory of a free string on a different background. This background is related to dS5×H(5) by a double T-duality, and has hidden supersymmetry. The geometry can also be extracted from an integrable deformation of the AdS5×S(5) sigma model, and we prove the observed mirror duality of these deformed models at the bosonic level as a byproduct. While we focus on AdS5×S(5), our results apply more generally.
在光锥AdS5×S(5) 超弦的世界面理论中进行双 Wick 旋转会得到一个不等价的、所谓的镜像理论，该理论在 AdS - CFT 对应关系的可积性领域中起着核心作用。我们表明，这个镜像理论可以被解释为在不同背景下自由弦的光锥理论。这个背景通过双 T - 对偶与 dS5×H(5) 相关，并且具有隐藏的超对称性。该几何结构也可以从 AdS5×S(5) 西格玛模型的可积变形中提取出来，并且作为副产品，我们在玻色子层面证明了这些变形模型所观察到的镜像对偶性。虽然我们专注于 AdS5×S(5)，但我们的结果具有更广泛的适用性。
