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Bibliographic Details
Main Authors: Ahmadain, Amr, Akhtar, Shoaib, Khan, Rifath
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.06400
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Table of Contents:
  • Using the method of images we derive the boundary term of the Einstein-$Γ^2$ action in half-space from the spherical worldsheet to first order in $α'$ and to linear order in the metric perturbation around flat half-space. The $Γ^2$ action, written down by Einstein more than 100 years ago, includes a boundary term that consists of the Gibbons-Hawking-York action along with two additional terms that are functions of the metric, normal vector, and tangential derivatives. With this boundary term, the total (bulk + boundary) sphere effective action has a well-posed variational principle for Dirichlet boundary conditions.