Liouville gravity
Encyclopedia
Liouville gravity is a model of gravity in one spatial and one time dimension with a dilaton
. It has the specific coupling of the form
where Φ is the dilaton field. It should not be confused with the CGHS model
or Jackiw–Teitelboim gravity. After taking quantum conformal anomalies
into account, it turns out to be a conformal field theory
. This model is used in the study of non-critical string theory
.
Dilaton
In particle physics, a dilaton is a hypothetical particle. It also appears in Kaluza-Klein theory's compactifications of extra dimensions when the volume of the compactified dimensions vary....
. It has the specific coupling of the form
where Φ is the dilaton field. It should not be confused with the CGHS model
CGHS model
The Callan-Giddings-Harvey-Strominger model or CGHS in short is a toy model of general relativity in 1 spatial and 1 time dimension. General relativity is a highly nonlinear model, and as such, its 3+1D version is usually too complicated to analyze in detail. In 3+1D and higher, propagating...
or Jackiw–Teitelboim gravity. After taking quantum conformal anomalies
Conformal anomaly
Conformal anomaly is an anomaly i.e. a quantum phenomenon that breaks the conformal symmetry of the classical theory.A classically conformal theory is a theory which, when placed on a surface with arbitrary background metric, has an action that is invariant under rescalings of the background metric...
into account, it turns out to be a conformal field theory
Conformal field theory
A conformal field theory is a quantum field theory that is invariant under conformal transformations...
. This model is used in the study of non-critical string theory
Non-critical string theory
The non-critical string theory describes the relativistic string without enforcing the critical dimension. Although this allows the construction of a string theory in 4 spacetime dimensions, such a theory usually does not describe a Lorentz invariant background. However, there are recent...
.
See also
- Liouville field theory
- CGHS modelCGHS modelThe Callan-Giddings-Harvey-Strominger model or CGHS in short is a toy model of general relativity in 1 spatial and 1 time dimension. General relativity is a highly nonlinear model, and as such, its 3+1D version is usually too complicated to analyze in detail. In 3+1D and higher, propagating...
- Jackiw–Teitelboim gravity