Results 21 to 30 of about 960,656 (258)

On the equivalence of topological and quantum 2D gravity [PDF]

open access: yesPhysics Letters B, 1992
We demonstrate the equivalence of Virasoro constraints imposed on continuum limit of partition function of Hermitean 1-matrix model and the Ward identities of Kontsevich's model. Since the first model describes ordinary $d = 2$ quantum gravity, while the second one is supposed to coincide with Witten's topological gravity, the result provides a strong ...
Marshakov, A., Mironov, A., Morozov, A.
openaire   +2 more sources

2D GRAVITY AND MATRIX MODELS I: 2D GRAVITY [PDF]

open access: yesInternational Journal of Modern Physics A, 1994
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.
openaire   +3 more sources

Softening transitions with quenched 2D gravity [PDF]

open access: yesNuclear Physics B - Proceedings Supplements, 1997
We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional $Φ^3$ gravity graphs to study the effect of quenched connectivity disorder on the phase transition, which is strongly first order on regular lattices.
Baillie, C. F.   +2 more
openaire   +2 more sources

EXTENSIONS OF 2D GRAVITY [PDF]

open access: yesInternational Journal of Modern Physics D, 1994
After reviewing some aspects of gravity in two dimensions, I show that non-trivial embeddings of sl(2) in a semi-simple (super) Lie algebra give rise to a very large class of extensions of 2D gravity. The induced action is constructed as a gauged WZW model and an exact expression for the effective action is given.
openaire   +3 more sources

Wave functions of induced 2D gravity [PDF]

open access: yesPhysics Letters B, 1993
We consider the induced $2$d-gravity in the minisuperspace approach. The general solution to the Wheeler-DeWitt equation is given in terms of different kind of Bessel functions of purely real or imaginary orders. We study the properties of the corresponding probability distribution finding a kind of phase transition at the critical point $ν=0$.
Navarro-Salas, J.   +2 more
openaire   +2 more sources

New perspective on matter coupling in 2D quantum gravity [PDF]

open access: yes, 1999
We provide compelling evidence that a previously introduced model of nonperturbative 2D Lorentzian quantum gravity exhibits (two-dimensional) flat-space behavior when coupled to Ising spins.
Ambj¢rn, J.   +11 more
core   +1 more source

Gravity dual of two-dimensional N $$ \mathcal{N} $$ = (2, 2)∗ supersymmetric Yang-Mills theory and integrable models

open access: yesJournal of High Energy Physics, 2018
The 2D N $$ \mathcal{N} $$ = (2, 2)∗ supersymmetric Yang-Mills theory can be obtained from the 2D N $$ \mathcal{N} $$ = (4, 4) theory with a twisted mass deformation.
Jun Nian
doaj   +1 more source

2D gravity+1D matter

open access: yesPhysics Letters B, 1990
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
openaire   +1 more source

Effective gravitational action for 2D massive fermions

open access: yesJournal of High Energy Physics, 2021
We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order m 2 gravitational action contains a piece characteristic of the Mabuchi action, much as for 2D ...
Adel Bilal   +2 more
doaj   +1 more source

The two-sphere partition function from timelike Liouville theory at three-loop order

open access: yesJournal of High Energy Physics, 2022
While the Euclidean two-dimensional gravitational path integral is in general highly fluctuating, it admits a semiclassical two-sphere saddle if coupled to a matter CFT with large and positive central charge. In Weyl gauge this gravity theory is known as
Beatrix Mühlmann
doaj   +1 more source

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