LIOUVILLE AND TODA SOLITONS IN M-THEORY

1996/04/30 by H. Lü, H. Lu, C.N. Pope +3 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Geometry #Isotropy #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Superstring theory #Supersymmetry #hep-th

paper · pdf · doi:10.1142/s0217732396001776

published as Mod.Phys.Lett.A11:1785-1796,1996 · Latex, 10 pages. Minor corrections to text and title

arxiv created 1996/06/11 · openalex publication_date 1996/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the general form of the equations for isotropic single-scalar, multi-scalar and dyonic p-branes in superstring theory and M-theory, and show that they can be cast into the form of Liouville, Toda (or Toda-like) equations. The general solutions describe non-extremal isotropic p-branes, reducing to the previously-known extremal solutions in limiting cases. In the non-extremal case, the dilatonic scalar fields are finite at the outer event horizon.

Citations

• Multiscalar p-Brane Solitons
• p-brane solitons in maximal supergravities

Cited by

• The black branes of M-theory
• Cosmological solutions in string theories
• FROM p-BRANES TO COSMOLOGY
• SL(N + 1, R) Toda Solitons in Supergravities
• Loop-corrected entropy of near-extremal dilatonic p-branes
• Integrable dynamics of Toda type on square and triangular lattices
• On generalized Melvin solutions for Lie algebras of rank 4
• Toda p -brane black holes and polynomials related to Lie algebras
• Intersecting M-branes and bound states