G+++ and Brane Solutions

Abstract

We demonstrate that the very extended G+++ group element of the form $g_A=\exp (-\frac{1}{(\beta ,\beta )}\ln N\beta \cdot H)\exp ((1-N)E_{\beta })$ describes the usual BPS, electric, single brane solutions found in G+++ theories.

One new equation, added references, corrected typos and minor changes, 42 pages, 6 figures, LaTeX2e

References in corpus (10)

• $E_{11}$, SL(32) and Central Charges
• Very-extended Kac-Moody algebras and their interpretation at low levels
• The IIA, IIB and eleven dimensional theories and their common E_{11} origin
• The Symmetry of M-Theories
• G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
• Representations of G+++ and the role of space-time
• The group theory of oxidation
• G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions
• Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories
• Intersection rules, dynamics and symmetries

Cited by in corpus (14)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Charge multiplets and masses for E(11)
• Supersymmetric Domain Walls
• E10 Cosmology
• Exotic E11 branes as composite gravitational solutions
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Real forms of extended Kac-Moody symmetries and higher spin gauge theories
• Poincare Duality and G+++ algebra's
• Some Algebraic Aspects of Half-BPS Bound States in M-Theory
• A unified approach to standard and exotic dualizations through graded geometry
• The different faces of branes in Double Field Theory
• M-Theory Solutions in Multiple Signatures from E_11
• Gravitational Coset Models
• Algebraic structures in M-theory