Branes, Weights and Central Charges

Abstract

We study the properties of half-supersymmetric branes in string theory with 32 supercharges from a purely group-theoretical point of view using the U-duality symmetry of maximal supergravity and the R-symmetry of the corresponding supersymmetry algebra. In particular, we show that half-supersymmetric branes are always associated to the longest weights of the U-duality representation of the potentials coupling to them. We compare the features of branes with three or more transverse directions (that we call "standard" branes) to those with two or less transverse directions (that we denominate "non-standard" branes). We show why the BPS condition of the non-standard branes is in general degenerate and for each case we calculate this degeneracy. We furthermore show how the orbits of multi-charge configurations of non-standard branes can be calculated and give the U-duality invariants describing these orbits. We show that different orbits of non-standard branes can have the same BPS condition.

35 pages, 14 figures, minor changes, version published on JHEP

References in corpus (15)

• Doubled Geometry and T-Folds
• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• String Solitons and T-duality
• Defect Branes
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• Counting supersymmetric branes
• D-Brane Wess-Zumino Terms and U-Duality
• Branes and wrapping rules
• IIA/IIB Supergravity and Ten-forms
• Brane orbits
• Dual doubled geometry
• Supersymmetric Domain Walls
• Heterotic wrapping rules
• Bound States of String Theory and Beyond

Cited by in corpus (17)

• $P$ fluxes and exotic branes
• Tensor Galileons and Gravity
• Non-geometric fluxes & tadpole conditions for exotic branes
• Symmetries of M-theory and free Lie superalgebras
• Classifying Supersymmetric Solutions in 3D Maximal Supergravity
• Wrapping rules (in) string theory
• Heterotic-Type II duality and wrapping rules
• Towards a classification of branes in theories with eight supercharges
• The different faces of branes in Double Field Theory
• Real weights, bound states and duality orbits
• Non-geometric orbifolds and wrapping rules
• Space-filling branes & gaugings
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• The invariant action for solitonic 5-branes
• Gaugings and other aspects in supergravity
• Branes and Polytopes