【01.25】AdS/CFT and Hamiltonian formalism of gravity
Webinar
報告題目：AdS/CFT and Hamiltonian formalism of gravity
報告人：吳潔強 博士（UCSB）
主持人：凌 意 研究員（中科院高能所）
時間：2022年1月25日（周二） 上午10點
Zoom：4456457666 / 123456
報告摘要:
The Hamiltonian formalism of gravity is very important, for example in studying black hole interior, initial value problem, and microscopic states counting. When constructing the Hamiltonian formalism, one needs to take use of the diffeomorphism symmetries to simplify the formalism. In this talk, I will introduce two of my works in this direction: covariant phase space formalism and diffeomorphism invariant observables.
In the first work, I construct the covariant phase space formalism for systems with spatial boundaries. The covariant phase space formalism is a covariant Hamiltonian formalism, which is widely used in gravity. However, this formalism suffers several ambiguities related to the boundary terms. In this work, we give a new version of the formalism, which incorporates the boundary effects from the very beginning. Our formalism resolves all of the previous ambiguities, and leads to a systematical algorithm for constructing the phase space and Hamiltonian.
In the second work, I study the diffeomorphism invariant observables and their brackets in a simple model: Jackiw-Teitelboim gravity coupled with matter fields. With the brackets, we can easily reproduce some recent results in Jackiw-Teitelboim gravity: traversable wormhole, an SL(2) algrabra, butterfly effect. We also study the excitation energy for an excitation deep in the gravity, with which we try to clarify the black hole firewall paradox.
Reference: arXiv: 1906.08616, 2108.04841
報告人簡介：吳潔強，2017年在北大獲得博士學(xué)位，隨后在MIT、UCSB做博士后。吳潔強的研究興趣是量子引力與黑洞物理。
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