Covariant phase space with boundaries

admin   2019-07-10 16:26:46   5881

报告题目:Covariant phase space with boundaries
报告时间:2019-07-16 15:30 (星期二)


Thecovariant phase space method of Iyer, Lee, Wald, and Zoupas gives an elegantway to understand the Hamiltonian dynamics of Lagrangian field theories withoutbreaking covariance. The original literature however does not systematicallytreat total derivatives and boundary terms, which has led to some confusion abouthow exactly to apply the formalism in the presence of boundaries. We here givean algorithmic procedure for applying the covariant phase space formalism tofield theories with spatial boundaries. With our formalism, we derive theHamiltonian for theories with diffeomorphism symmetries, only assuming that theconfigurations satisfy equations of motion and boundary conditions, which isconsistent with previous results. If time permitted, I will illustrate thisformalism by an interesting model Jackiw-Teitolboim gravity, where we canexplicitly solve the phase space and symplectic form. With this structure, wecan rederive the traversable wormhole effect.   




1.Covariant Phase Space with Boundaries, Daniel Harlow, Jie-qiang Wu, arXiv:1906.08616 

2.Floquet conformal field theory, Xueda Wen, Jie-qiang Wu, arXiv: 1802.10537 

3.Witten diagram for Torus Conformal Block, P.Kraus, A.Maloney, H.Maxfield,G.S.Seng, J-q.Wu, JHEP09(2017)149 arXiv: 1706.00047 

4.Holographic Entanglement Entropy for a Large Class of States in 2D CFT, BinChen, Jie-qiang Wu, JHEP09(2016)015 arXiv: 1605.06753 

5.One Loop partition function in AdS_3/CFT_2, Bin Chen, Jie-qiang Wu, JHEP12(2015)109,arXiv: 1509.02062


地址:long8唯一官方网站北洋园校区32教学楼B区 | 邮编:300350Designed by 2014级long8唯一本科生蒋啸寒
Copyright © 2022 long8唯一官方网站. All rights reserved. | Designed by 2014级long8唯一本科生蒋啸寒