scholarly journals Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Daniel Grumiller ◽  
Robert McNees ◽  
Jakob Salzer
2019 ◽  
Vol 34 (29) ◽  
pp. 1950176
Author(s):  
Su-Kuan Chu ◽  
Chen-Te Ma ◽  
Chih-Hung Wu

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 [Formula: see text], where [Formula: see text] 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 [Formula: see text] under a constant boundary dilaton field and the nonvanishing cosmological constant by identifying the lattice spacing [Formula: see text] of a lattice Schwarzian theory with the boundary cutoff [Formula: see text] of the two-dimensional dilaton gravity theory.


1998 ◽  
Vol 13 (24) ◽  
pp. 4265-4279 ◽  
Author(s):  
G. A. DIAMANDIS ◽  
B. C. GEORGALAS ◽  
N. E. MAVROMATOS ◽  
JOHN ELLIS ◽  
D. V. NANOPOULOS ◽  
...  

We show that an exact solution of two-dimensional dilaton gravity with matter discovered previously exhibits an irreversible temporal flow towards flat space with a vanishing cosmological constant. This time flow is induced by the back reaction of matter on the space–time geometry. We demonstrate that the system is not in equilibrium if the cosmological constant is nonzero, whereas the solution with zero cosmological constant is stable. The flow of the system towards this stable end point is derived from the renormalization-group flow of the Zamolodchikov function. This behavior is interpreted in terms of noncritical Liouville string, with the Liouville field identified as the target time.


2008 ◽  
Vol 23 (02) ◽  
pp. 91-98 ◽  
Author(s):  
YUN SOO MYUNG ◽  
YONG-WAN KIM ◽  
YOUNG-JAI PARK

All thermodynamic quantities of the Reissner–Nordström (RN) black hole can be obtained from the dilaton and its potential of two-dimensional (2D) dilaton gravity. The dual relations of four thermodynamic laws are also established. Furthermore, the near-horizon thermodynamics of the extremal RN black hole is completely described by the Jackiw–Teitelboim theory which is obtained by perturbing around the AdS2-horizon.


1995 ◽  
Vol 52 (12) ◽  
pp. 6831-6839 ◽  
Author(s):  
José Navarro-Salas ◽  
Miguel Navarro ◽  
César F. Talavera

1996 ◽  
Vol 53 (2) ◽  
pp. 801-804 ◽  
Author(s):  
Hyeon-Min Johng ◽  
Hak-Soo Shin ◽  
Kwang-Sup Soh

2005 ◽  
Vol 20 (38) ◽  
pp. 2919-2924 ◽  
Author(s):  
MARIANO CADONI ◽  
SALVATORE MIGNEMI

We derive two-dimensional (2D) solutions of a generic dilaton gravity model coupled with matter, which describe D-dimensional static black holes with pointlike sources. The equality between the mass M of the D-dimensional gravitational solution and the mass m of the source can also be preserved at the level of the 2D gravity model.


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