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Matrix models of 2d gravity [PDF]
These are introductory lectures for a general audience that give an overview of the subject of matrix models and their application to random surfaces, 2d gravity, and string theory. They are intentionally 1.5 years out of date. 0.
Ginsparg, P.
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The Cardy-Verlinde formula for 2D gravity [PDF]
We discuss the different bounds on entropy in the context of two-dimensional cosmology. We show that in order to obtain well definite bounds one has to use the scale symmetry of the gravitational theory. We then extend the recently found relation between
't Hooft +36 more
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2d CDT is 2d Hořava–Lifshitz quantum gravity [PDF]
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Ambjørn, J. +3 more
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2D GRAVITY AND MATRIX MODELS I: 2D GRAVITY [PDF]
Some approaches to 2D gravity which have been developed in the last few years are reviewed. They are physical (Liouville) gravity, topological theories and matrix models. Special attention is paid to matrix models and their interrelations with different approaches. Almost all technical details are omitted, but examples are presented.
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Bra-ket wormholes in gravitationally prepared states
We consider two dimensional CFT states that are produced by a gravitational path integral. As a first case, we consider a state produced by Euclidean AdS2 evolution followed by flat space evolution.
Yiming Chen +2 more
doaj +1 more source
Four-dimensional cosmology from dilaton coupled quantum matter in two dimensions [PDF]
The reduction of 4D Einstein gravity with $N$ minimal scalars leads to specific 2D dilaton gravity with dilaton coupled scalars. Applying s-wave and large $N$ approximation (where large $N$ quantum contribution due to dilaton itself is taken into account)
Kadoyoshi, Tomoko +2 more
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A c=1 phase transition in two-dimensional CDT/Horava–Lifshitz gravity?
We study matter with central charge c>1 coupled to two-dimensional (2d) quantum gravity, here represented as causal dynamical triangulations (CDT). The 2d CDT is known to provide a regularization of (Euclidean) 2d Hořava–Lifshitz quantum gravity.
J. Ambjørn +3 more
doaj +1 more source
No Page curves for the de Sitter horizon
We investigate the fine-grained entropy of the de Sitter cosmological horizon. Starting from three-dimensional pure de Sitter space, we consider a partial reduction approach, which supplies an auxiliary system acting as a heat bath both at I $$ \mathcal ...
Joshua Kames-King +2 more
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Abstract We consider a formulation of nonperturbative two-dimensional quantum gravity coupled to a single bosonic field (d = 1 matter). Starting from a matrix realization of the discretized model, we express the continuum theory as a double scaling limit in which the 2D cosmological constant g tends towards a critical value gc, and the string ...
P. GINSPARG, J. ZINN-JUSTIN
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CANONICAL APPROACH TO 2D INDUCED GRAVITY [PDF]
Using canonical method the Liouville theory has been obtained as a gravitational Wess–Zumino action of the Polyakov string. From this approach it is clear that the form of the Liouville action is the consequence of the bosonic representation of the Virasoro algebra, and that the coefficient in front of the action is proportional to the central charge ...
Popovic, D. S., Sazdovic, B.
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