Strings, Branes and the Self-dual Solutions of Exceptional Field Theory

Abstract

It has been shown that membranes and fivebranes are wave-like or monopole-like solutions in some higher dimensional theory. Here the picture is completed by combining the wave and monopole solutions into a single solution of Exceptional Field Theory. This solution solves the twisted self-duality constraint. The 1/2 BPS brane spectrum, consisting of fundamental, solitonic and Dirichlet branes, in ten- and eleven-dimensional supergravity may all be extracted from this single solution of Exceptional Field Theory. The solution's properties such as the singularity structure and its asymptotic behaviour near the core and at infinity are investigated.

34 pages LaTeX, v2 inclusion of brane bound states, typos corrected, some clarifications

References in corpus (13)

• Generalised Geometry for M-Theory
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Exceptional Field Theory III: E${}_{8(8)}$
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Generalised geometry for string corrections
• Branes are Waves and Monopoles
• Heterotic Effective Action and Duality Symmetries Revisited
• Finite Gauge Transformations and Geometry in Double Field Theory
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Exceptional geometry and tensor fields
• On the exceptional generalised Lie derivative for $d\ge 7$
• U-gravity : $\mathbf{SL}(N)$
• C-spaces, generalized geometry and double field theory

Cited by in corpus (4)

• Branes are Waves and Monopoles
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• An Action for F-theory: $\mathrm{SL}(2)\times {\mathbb{R}}^{+}$ Exceptional Field Theory
• Exotic branes and non-geometric fluxes