Exact solvability of semiclassical quantum gravity in two dimensions and liouville theory

1988 ◽  
pp. 180-189
Author(s):  
Norma Sanchez
Keyword(s):  
Quantum Gravity ◽  
Two Dimensions ◽  
Liouville Theory ◽  
Exact Solvability

scholarly journals Quantum gravity as a multitrace matrix model

2017 ◽  
Vol 32 (31) ◽  
pp. 1750180
Author(s):  
Badis Ydri ◽  
Cherine Soudani ◽  
Ahlam Rouag
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Large Class ◽  
Matrix Model ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Topology Change ◽  
New Model ◽  
And Topology ◽  
Emergent Geometry

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

scholarly journals Renormalizability of quantum gravity near two dimensions

1996 ◽  
Vol 467 (1-2) ◽  
pp. 313-331 ◽  
Author(s):  
Hikaru Kawai ◽  
Yoshihisa Kitazawa ◽  
Masao Ninorniya
Keyword(s):  
Quantum Gravity ◽  
Two Dimensions

RANDOM SURFACES AND THE LIOUVILLE THEORY

1992 ◽  
Vol 07 (15) ◽  
pp. 3403-3433 ◽  
Author(s):  
Y. KITAZAWA
Keyword(s):  
Black Holes ◽  
Physical Properties ◽  
Correlation Functions ◽  
Two Dimensions ◽  
Liouville Theory ◽  
View Point ◽  
Complete Understanding ◽  
Random Surfaces ◽  
Dimensional Gravity ◽  
The Continuum

We review the physical properties of random surfaces from the view point of the continuum Liouville theory. We shall summarize physical motivations of this subject and the field-theoretic treatment of the random surfaces. In the case of subcritical strings propagating in less than two dimensions, a complete understanding has been obtained recently through matrix models. We discuss the Liouville theory understanding of these results by studying the correlation functions. We also discuss promising avenues of further investigations such as black holes in 2-dimensional gravity and 3- and 4-dimensional string theory which may be relevant to Ising 3 and QCD 4.

scholarly journals Conformal invariance and renormalization group in quantum gravity near two dimensions

1994 ◽  
Vol 427 (1-2) ◽  
pp. 158-180 ◽  
Author(s):  
Toshiaki Aida ◽  
Yoshihisa Kitazawa ◽  
Hikaru Kawai ◽  
Masao Ninomiya
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Conformal Invariance ◽  
Two Dimensions

scholarly journals Quantum gravity from timelike Liouville theory

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Teresa Bautista ◽  
Atish Dabholkar ◽  
Harold Erbin
Keyword(s):  
Quantum Gravity ◽  
Liouville Theory

ON THE ALGEBRAIC STRUCTURE of QUANTUM GRAVITY IN TWO DIMENSIONS

1991 ◽  
Vol 06 (16) ◽  
pp. 2805-2827 ◽  
Author(s):  
Jean-Loup Gervais
Keyword(s):  
Quantum Gravity ◽  
Quantum Group ◽  
Algebraic Structure ◽  
Group Structure ◽  
Two Dimensions ◽  
Conformal Gauge

Current progresses in understanding quantum gravity from the operator viewpoint are reviewed. They are based on the Uq(sl(2))-quantum-group structure recently put forward1,2, for the chiral components of the metric in the conformal gauge.

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