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Paper   IPM / Physic / 17904
School of Physics
  Title:   Covariant phase space formalism for fluctuating boundaries
  Author(s): 
1.  H. Adami
2.  M. Golshani
3.  M.M. Sheikh-Jabbari
4.  V. Taghiloo
5.  M.H. Vahidinia
  Status:   Published
  Journal: JHEP
  Vol.:  09
  Year:  2024
  Pages:   157
  Supported by:  IPM
  Abstract:
We reconsider formulating D dimensional gauge theories, with the focus on the case of gravity theories, in spacetimes with boundaries. We extend covariant phase space formalism to the cases in which boundaries are allowed to fluctuate. We analyze the symplectic form, the freedoms (ambiguities), and its conservation for this case. We show that boundary fluctuations render all the surface charges integrable. We study the algebra of charges and its central extensions, charge conservation, and fluxes. We briefly comment on memory effects and questions regarding semiclassical aspects of black holes in the fluctuating boundary setup.

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