Wrapping rules (in) string theory

Abstract

In this paper we show that the number of all 1/2-BPS branes in string theory compactified on a torus can be derived by universal wrapping rules whose formulation we present. These rules even apply to branes in less than ten dimensions whose ten-dimensional origin is an exotic brane. In that case the wrapping rules contain an additional combinatorial factor that is related to the highest dimension in which the ten-dimensional exotic brane, after compactification, can be realized as a standard brane. We show that the wrapping rules also apply to cases with less supersymmetry. As a specific example, we discuss the compactification of IIA/IIB string theory on $(T^4/{\mathbb{Z}}_2)\times T^n$.

21 pages

References in corpus (8)

• Double Field Theory
• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• String Solitons and T-duality
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• D-Brane Wess-Zumino Terms and U-Duality
• $P$ fluxes and exotic branes
• Non-geometric orbifolds and wrapping rules

Cited by in corpus (8)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Weaving the Exotic Web
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Exceptional M-brane sigma models and $\eta$-symbols
• Space-filling branes & gaugings
• Exotic Branes from del Pezzo Surfaces
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Exotic Aspects of Extended Field Theories