Spectrum-generating Symmetries for BPS Solitons

Abstract

We show that there exist nonlinearly realised duality symmetries that are independent of the standard supergravity global symmetries, and which provide active spectrum-generating symmetries for the fundamental BPS solitons. The additional ingredient, in any spacetime dimension, is a single scaling transformation that allows one to map between BPS solitons with different masses. Without the inclusion of this additional transformation, which is a symmetry of the classical equations of motion, but not the action, it is not possible to find a spectrum-generating symmetry. The necessity of including this scaling transformation highlights the vulnerability of duality multiplets to quantum anomalies. We argue that fundamental BPS solitons may be immune to this threat.

References added. Latex, 29 pages

Cited by in corpus (31)

• U-duality and M-Theory
• The gauge structure of generalised diffeomorphisms
• Gauged Supergravities
• Universal BPS structure of stationary supergravity solutions
• Instanton Cosmology and Domain Walls from M-theory and String Theory
• Vacua of M-theory and string theory
• AdS_3 x S^3 (Un)twisted and Squashed, and an O(2,2;Z) Multiplet of Dyonic Strings
• Supergravities without an Action: Gauging the Trombone
• Euclidean-signature Supergravities, Dualities and Instantons
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised Scherk-Schwarz reductions from gauged supergravity
• N=8 Supergravity with Local Scaling Symmetry
• IIB supergravity and E10
• Generalised diffeomorphisms for E${}_9$
• M-theory/heterotic Duality: a Kaluza-Klein Perspective
• E${}_9$ exceptional field theory I. The potential
• M-theory and Gauged Supergravities
• Domain-wall Supergravities from Sphere Reduction
• Scale Invariance vs. Conformal Invariance: Holographic Two-Point Functions in Horndeski Gravity
• Eleven-Dimensional Supergravity in 4D, $N=1$ Superspace
• Supermembrane origin of type II gauged supergravities in 9D
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• Jacobi-Lie T-plurality
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• Taxonomy of Brane Gravity Localisations
• U-duality as General Coordinate Transformations, and Spacetime Geometry
• U-duality and Network Configurations of Branes
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories