@article { ISI:000492838300012,
title = {Two-dimensional dilaton gravity theory and lattice Schwarzian theory},
journal = {Int. J. Mod. Phys. A},
volume = {34},
number = {29},
year = {2019},
month = {OCT 20},
pages = {1950176},
publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
type = {Article},
abstract = {We report a holographic study of a two-dimensional dilaton gravity theory with the Dirichlet boundary condition for the cases of nonvanishing and vanishing cosmological constants. Our result shows that the boundary theory of the two-dimensional dilaton gravity theory with the Dirichlet boundary condition for the case of nonvanishing cosmological constants is the Schwarzian term coupled to a dilaton field, while for the case of vanishing cosmological constant, a theory does not have a kinetic term. We also include the higher derivative term R-2, where R is the scalar curvature that is coupled to a dilaton field. We find that the form of the boundary theory is not modified perturbatively. Finally, we show that a lattice holographic picture is realized up to the second-order perturbation of boundary cutoff epsilon(2) under a constant boundary dilaton field and the nonvanishing cosmological constant by identifying the lattice spacing a of a lattice Schwarzian theory with the boundary cutoff epsilon of the two-dimensional dilaton gravity theory.},
keywords = {Dilaton gravity theory, higher derivative term, isometry, lattice Schwarzian theory},
issn = {0217-751X},
doi = {10.1142/S0217751X19501768},
author = {Chu, Su-Kuan and Ma, Chen-Te and Wu, Chih-Hung}
}