Year: 2024
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Ahmadain, Amr, Akhtar, Shoaib, Khan, Rifath
Institutions: Swansea University, Stanford University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404390984