scholarly journals Loop variables and the Virasoro group

1993 ◽  
Vol 405 (2-3) ◽  
pp. 367-388 ◽  
Author(s):  
B. Sathiapalan
Keyword(s):  
Virasoro Group

scholarly journals Higher-order polarizations on the Virasoro group and anomalies

1991 ◽  
Vol 139 (3) ◽  
pp. 433-440 ◽  
Author(s):  
Victor Aldaya ◽  
Jose Navarro-Salas
Keyword(s):  
Higher Order ◽  
Virasoro Group

scholarly journals Supergravitons interacting with the super-Virasoro group

2001 ◽  
Vol 512 (1-2) ◽  
pp. 189-196 ◽  
Author(s):  
S.James Gates ◽  
V.G.J. Rodgers
Keyword(s):  
Virasoro Group

scholarly journals GEODESIC FLOW ON EXTENDED BOTT–VIRASORO GROUP AND GENERALIZED TWO-COMPONENT PEAKON TYPE DUAL SYSTEMS

2008 ◽  
Vol 20 (10) ◽  
pp. 1191-1208 ◽  
Author(s):  
PARTHA GUHA
Keyword(s):  
Evolution Equations ◽  
Boussinesq System ◽  
Coadjoint Orbits ◽  
Dual Systems ◽  
Hamiltonian Flows ◽  
Lie Algebraic Structure ◽  
Two Component ◽  
Integrable Evolution ◽  
Virasoro Group ◽  
Systematic Derivation

This paper discusses an algorithmic way of constructing integrable evolution equations based on Lie algebraic structure. We derive, in a pedagogical style, a large class of two-component peakon type dual systems from their two-component soliton equations counter part. We study the essential aspects of Hamiltonian flows on coadjoint orbits of the centrally extended semidirect product group [Formula: see text] to give a systematic derivation of the dual counter parts of various two-component of integrable systems, viz., the dispersive water wave equation, the Kaup–Boussinesq system and the Broer–Kaup system, using moment of inertia operators method and the (frozen) Lie–Poisson structure. This paper essentially gives Lie algebraic explanation of Olver–Rosenau's paper [31].

Dynamics on the Virasoro group, 2D gravity and hidden symmetries

1991 ◽  
Vol 260 (3-4) ◽  
pp. 311-316 ◽  
Author(s):  
Victor Aldaya ◽  
José Navarro-Salas ◽  
Miguel Navarro
Keyword(s):  
2D Gravity ◽  
Hidden Symmetries ◽  
Virasoro Group
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