Heterotic wrapping rules

Abstract

We show that the same wrapping rules that have been derived for the branes of IIA and IIB string theory also apply to the branes of the toroidally compactified heterotic string theory. Moreover, we show that applying these wrapping rules to the IIA theory compactified over K3 is consistent with the well-known duality between the heterotic string theory compactified over T^4 and the IIA string theory compactified over K3. We derive a simple rule that relates, in any dimension, the T-duality representation of the branes of the toroidally compactified heterotic theory to the relevant R-symmetry representation of the central charges in the supersymmetry algebra. We show that, in the general case, the degeneracy of the BPS conditions of the heterotic branes is twice as large as that of the branes of IIA and IIB string theory.

47 pages, 4 figures. v2: refs. added

References in corpus (14)

• Double Field Theory
• Doubled Geometry and T-Folds
• E(11) and the Embedding Tensor
• String Solitons and T-duality
• Defect Branes
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Counting supersymmetric branes
• D-Brane Wess-Zumino Terms and U-Duality
• Branes and wrapping rules
• Brane orbits
• Dual doubled geometry
• Supersymmetric Domain Walls
• Dual Gravity and Matter
• An M-theory solution from null roots in E11

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• The Geometry, Branes and Applications of Exceptional Field Theory
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• Minimal Black Holes and Species Thermodynamics
• $P$ fluxes and exotic branes
• Weaving the Exotic Web
• Supersymmetry Breaking and Stability in String Vacua: brane dynamics, bubbles and the swampland
• Branes, Weights and Central Charges
• Non-geometric fluxes & tadpole conditions for exotic branes
• Exotic Dual of Type II Double Field Theory
• Wrapping rules (in) string theory
• Towards a classification of branes in theories with eight supercharges
• Heterotic-Type II duality and wrapping rules
• Non-geometric Five-branes in Heterotic Supergravity
• Superconformal symmetry and higher-derivative Lagrangians
• Real weights, bound states and duality orbits
• Non-geometric orbifolds and wrapping rules
• Space-filling branes & gaugings
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Duality rules for more mixed-symmetry potentials