SL(N + 1, R) Toda Solitons in Supergravities

1996/07/03 by H. Lü, H. Lu, C.N. Pope +1 · 33 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Equations of motion #Field (mathematics) #Field equation #Instanton #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Supersymmetry #hep-th

paper · pdf · doi:10.1142/s0217751x97001304

published in International Journal of Modern Physics A 12(11), 2061-2074 (World Scientific) · LATEX, 16 pages, no figures

arxiv created 1996/07/03 · openalex publication_date 1997/04/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct (D - 3)-brane and instanton solutions using N ≤ 10 - D one-form field strengths in D dimensions, and show that the equations of motion can be cast into the form of the SL (N + 1, R) Toda equations. For generic values of the charges, the solutions are nonsupersymmetric; however, they reduce to the previously known multiple-charged supersymmetric solutions when appropriate charges vanish.

Citations

• Multiscalar p-Brane Solitons
• Intersecting M-branes as four-dimensional black holes
• p-brane solitons in maximal supergravities
• LIOUVILLE AND TODA SOLITONS IN M-THEORY
• Stringy cosmic strings and noncompact Calabi-Yau manifolds
• Supergravity in theory in 11 dimensions

Cited by

• Cosmological solutions in string theories
• FROM p-BRANES TO COSMOLOGY
• 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