An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity

An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity
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Jackiw-Teitelboim 引力中动态世界末日膜的有效矩阵模型

DOI:
10.1007/jhep01(2022)038
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发表时间:
2021
影响因子:
5.4
通讯作者:
D. Kolchmeyer
D. Kolchmeyer
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ping Gao;D. Jafferis;D. Kolchmeyer

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本文研究了渐近接近ads2时空中具有动态世界末端膜的Jackiw-Teitelboim引力。我们在洛伦兹签名中量化了这一理论,并计算了包括动态膜在内的拓扑上的欧几里得路径积分求和。后者将被视为与SSS矩阵模型的修改完全匹配。在涉及膜的引力瞬子中紫外散度的解析将引导我们理解威尔逊有效理论视角下引力理论的矩阵模型解释。通过将特征值的积分轮廓扩展到复平面上,我们完成了这个改进的SSS矩阵模型。此外,我们给出了这类矩阵模型中其它相的新的解释。我们推导了一个有效的W (Φ)膨胀引力,它在半经典中表现出类似的物理特性。在多种膜的极限情况下,有效极值熵s0, eff具有对这些膜的状态进行计数的形式。
We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS 2 spacetimes. We quantize this theory in Lorentz signature, and compute the Euclidean path integral summing over topologies including dynamical branes. The latter will be seen to exactly match with a modification of the SSS matrix model. The resolution of UV divergences in the gravitational instantons involving the branes will lead us to understand the matrix model interpretation of the Wilsonian effective theory perspective on the gravitational theory. We complete this modified SSS matrix model nonperturbatively by extending the integration contour of eigenvalues into the complex plane. Furthermore, we give a new interpretation of other phases in such matrix models. We derive an effective W (Φ) dilaton gravity, which exhibits similar physics semiclassically. In the limit of a large number of flavors of branes, the effective extremal entropy S 0 , eff has the form of counting the states of these branes.
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