标题： 通过$q$全息法探测全息屏处的奇点 显示英文标题

标题： Probing the singularity at the holographic screen via $q$-holography

摘要： 我们研究了在低维引力系统中$q$-变形时空的出现，该系统的渐近区域几何化了$q$-变形CFT的全局对称性。 更准确地说，我们考虑了2d双曲正弦标量引力模型，其经典度规解在全息边界处表现出曲率奇点。 我们的目标是通过向体内注入一个小探测器，并确定它所观察到的几何特征，来探究这个UV近边界区域。 在两点关联函数的层面上，我们看到了$q$-变形双曲圆盘等距性的出现。 通过用类似的正弦标量引力模型来表述DSSYK，我们预计这种$q$-变形全息对偶性将持续存在。 显示英文摘要

摘要： We study the emergence of $q$-deformed spacetime in a lower-dimensional gravitational system whose asymptotic region geometrizes the global symmetry of a $q$-deformed CFT. More precisely, we consider the 2d sinh dilaton gravity model, whose classical metric solutions exhibit a curvature singularity at the holographic boundary. Our aim is to probe this UV near-boundary regime by injecting a small probe into the bulk, and identifying the geometrical features it observes. At the level of the two-point correlator, we see the emergence of $q$-deformed hyperbolic disk isometries. By formulating DSSYK in terms of the analogous sine dilaton gravity model, we expect this $q$-deformed holographic duality to persist.