Title | Two-dimensional dilaton gravity theory and lattice Schwarzian theory |
Publication Type | Journal Article |
Year of Publication | 2019 |
Authors | S-K. Chu, C-T. Ma, and C-H. Wu |
Journal | Int. J. Mod. Phys. A |
Volume | 34 |
Pagination | 1950176 |
Date Published | OCT 20 |
Type of Article | Article |
ISSN | 0217-751X |
Keywords | Dilaton gravity theory, higher derivative term, isometry, lattice Schwarzian theory |
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. |
DOI | 10.1142/S0217751X19501768 |