scholarly journals The quantum group structure of 2D gravity and minimal models I

1990 ◽  
Vol 130 (2) ◽  
pp. 257-283 ◽  
Author(s):  
Jean-Loup Gervais
Keyword(s):  
Quantum Group ◽  
2D Gravity ◽  
Group Structure ◽  
Minimal Models

scholarly journals The quantum group structure of 2D gravity and minimal models II: The genus-zero chiral bootstrap

1994 ◽  
Vol 161 (3) ◽  
pp. 597-630 ◽  
Author(s):  
Eugène Cremmer ◽  
Jean-Loup Gervais ◽  
Jean-François Roussel
Keyword(s):  
Quantum Group ◽  
2D Gravity ◽  
Group Structure ◽  
Minimal Models ◽  
Genus Zero

POISSON–LIE GROUPS AND CLASSICAL W-ALGEBRAS

1992 ◽  
Vol 07 (05) ◽  
pp. 853-876 ◽  
Author(s):  
V. A. FATEEV ◽  
S. L. LUKYANOV
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Quantum Group ◽  
Lie Groups ◽  
Group Structure ◽  
Two Dimensional ◽  
Poisson Structures ◽  
Additional Symmetries ◽  
Conformal Field ◽  
Poisson Lie Groups

This is the first part of a paper studying the quantum group structure of two-dimensional conformal field theory with additional symmetries. We discuss the properties of the Poisson structures possessing classical W-invariance. The Darboux variables for these Poisson structures are constructed.

HYBRID-TYPE MODEL AND THE DIRECT SUM OF QUANTUM GROUPS

1991 ◽  
Vol 06 (13) ◽  
pp. 1177-1183 ◽  
Author(s):  
TETSUO DEGUCHI ◽  
AKIRA FUJII
Keyword(s):  
Quantum Group ◽  
Inverse Scattering ◽  
Quantum Groups ◽  
Group Structure ◽  
Formal Group ◽  
Inverse Scattering Method ◽  
Type Model ◽  
Scattering Method ◽  
Direct Sum ◽  
Hybrid Type

We present the quantum formal group derived from the hybrid-type model. The quantum group structure is given by the direct sum of several quantum groups. We show that by applying the quantum inverse scattering method to the direct sum of the several quantum groups we can reconstruct the hybrid-type model.

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.

Sign in / Sign up

Export Citation Format

Share Document