6D Dyonic String With Active Hyperscalars

Abstract

We derive the necessary and sufficient conditions for the existence of a Killing spinor in N=(1,0) gauge supergravity in six dimensions coupled to a single tensor multiplet, vector multiplets and hypermultiplets. These are shown to imply most of the field equations and the remaining ones are determined. In this framework, we find a novel 1/8 supersymmetric dyonic string solution with nonvanishing hypermultiplet scalars. The activated scalars parametrize a 4 dimensional submanifold of a quaternionic hyperbolic ball. We employ an identity map between this submanifold and the internal space transverse to the string worldsheet. The internal space forms a 4 dimensional analog of the Gell-Mann-Zwiebach tear-drop which is noncompact with finite volume. While the electric charge carried by the dyonic string is arbitrary, the magnetic charge is fixed in Planckian units, and hence necessarily non-vanishing. The source term needed to balance a delta function type singularity at the origin is determined. The solution is also shown to have 1/4 supersymmetric AdS_3 x S^3 near horizon limit where the radii are proportional to the electric charge.

28 pages, latex, minor corrections made

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Cited by in corpus (12)

• Supersymmetric Solutions in Six Dimensions: A Linear Structure
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Stability and Negative Tensions in 6D Brane Worlds
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions
• On the supersymmetric solutions of the Heterotic Superstring effective action
• Null Deformed Domain Wall
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• On the consistency of a class of R-symmetry gauged 6D N=(1,0) supergravities