scholarly journals The quantum gravity disk: Discrete current algebra

2021 ◽  
Vol 62 (10) ◽  
pp. 102303
Author(s):  
Laurent Freidel ◽  
Christophe Goeller ◽  
Etera R. Livine
Keyword(s):  
Quantum Gravity ◽  
Current Algebra

QUANTUM GRAVITY IN TWO DIMENSIONS

1987 ◽  
Vol 02 (11) ◽  
pp. 893-898 ◽  
Author(s):  
A. M. POLYAKOV
Keyword(s):  
Differential Equations ◽  
Quantum Gravity ◽  
Current Algebra ◽  
Correlation Functions ◽  
Light Cone ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Light Cone Gauge

Two dimensional induced quantum gravity is analyzed. By the use of light-cone gauge we derive a gravitational analogue of the Wess-Zumino action and discover its amazing connection with SL (2, ℝ) current algebra. The latter permits us to find differential equations for the correlation functions.

INDUCED TWO-DIMENSIONAL QUANTUM GRAVITY WITH GENERAL ACTION

1991 ◽  
Vol 06 (34) ◽  
pp. 3191-3197 ◽  
Author(s):  
S. D. ODINTSOV
Keyword(s):  
Quantum Gravity ◽  
Current Algebra ◽  
Light Cone ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
General Action ◽  
Non Local

The two-dimensional quantum gravity with general action consisting of local and non-local parts is investigated. It is shown that in the light-cone gauge there exists a symmetry which leads naturally to the SL (2,ℝ) Kac–Moody current algebra. The structure of the renormalization is discussed.

scholarly journals HUGE SPACE-DEPENDENT SYMMETRY IN THE LIGHTCONE GAUGE TWO-DIMENSIONAL QUANTUM GRAVITY

1996 ◽  
Vol 11 (15) ◽  
pp. 2623-2642 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Quantum Gravity ◽  
Current Algebra ◽  
Symmetry Algebra ◽  
Local Version ◽  
Two Dimensional ◽  
Operator Formalism ◽  
Canonical Operator ◽  
Coordinate Invariance

The lightcone gauge two-dimensional quantum gravity, i.e. the local version of Polyakov’s “induced” quantum gravity, is analyzed in the canonical operator formalism. An extremely huge x+-dependent symmetry algebra is found to exist in this model. Both Polyakov’s SL (2, R) current algebra and residual general coordinate invariance are very very tiny subalgebras of it.

Quantum gravity in two dimensions and the SL(2, ) current algebra

1990 ◽  
Vol 236 (1) ◽  
pp. 12-16 ◽  
Author(s):  
JoséA. Helayël-neto ◽  
Susan Mokhtari ◽  
A. William Smith
Keyword(s):  
Quantum Gravity ◽  
Current Algebra ◽  
Two Dimensions

Two-dimensional quantum gravity and current algebra on a torus

1990 ◽  
Vol 240 (3-4) ◽  
pp. 341-344
Author(s):  
Jung-Jai Lee ◽  
Won-Sang Chung ◽  
Sin-Kyu Kang ◽  
Jae-Kwan Kim
Keyword(s):  
Quantum Gravity ◽  
Current Algebra ◽  
Two Dimensional

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

Braking effect in quantum gravity

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Gravity

Braking effect in quantum gravity

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