



01463nas a2200121   4500008004100000245007300041210006900114520107000183100001701253700001601270700001801286856003701304       2018                        eng d00aTwo-Dimensional Dilaton Gravity Theory and Lattice Schwarzian Theory0 aTwoDimensional Dilaton Gravity Theory and Lattice Schwarzian The3 a<div>We report a holographic study of a two-dimensional dilaton gravity theory with the Dirichlet boundary condition for the cases of non-vanishing 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 non-vanishing 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 R2, 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 cut-off ε2 under a constant boundary dilaton field and the non-vanishing cosmological constant by identifying the lattice spacing a of a lattice Schwarzian theory with the boundary cut-off ε of the two-dimensional dilaton gravity theory.&nbsp;</div>1 aChu, Su-Kuan1 aMa, Chen-Te1 aWu, Chih-Hung  uhttps://arxiv.org/abs/1802.04599