Generalized integrability and two-dimensional gravitation

Oct, 1992
24 pages
Published in:
  • Theor.Math.Phys. 95 (1993) 552-567,
  • Teor.Mat.Fiz. 95 (1993) 258-275
e-Print:
Report number:
  • CERN-TH-6678-92

Citations per year

1992199920062013201810
Abstract:
We review the construction of generalized integrable hierarchies of partial differential equations, associated to affine Kac-Moody algebras, that include those considered by Drinfel'd and Sokolov. These hierarchies can be used to construct new models of 2D quantum or topological gravity, as well as new W\cal W-algebras.
Note:
  • 24 pages, fixed broken tex source
  • talk: Kiev 1992/06/08
  • quantum gravity
  • dimension: 2
  • differential equations: hierarchy
  • integrability
  • Hamiltonian formalism
  • algebra: W(N)
  • field equations: string
  • constraint
  • bibliography