Supersymmetric Dyons, Superstrings, and Rotating Wormholes

Abstract

We construct supersymmetric dyon solutions based on the 't Hooft/Polyakov monopole. We show that these solutions satisfy $\kappa$ symmetry constraints and can, therefore be generalized to supersymmetric solutions of type I SO(32) string theory. After applying a T-duality transformation to these solutions, we obtain two $D3$-branes connected by a wormhole, embedded in an M5 brane. We analyze the geometries of each $D3$-brane for two cases, one corresponding to a dyon with vanishing spin, and the other corresponding to a magnetic monopole with non-vanishing spin. In the case of vanishing spin, the scalar curvature is finite, everywhere, In the case of non-vanishing spin, we find a frame dragging effect due to the spin. We also find that the scalar curvature diverges along the spin quantization axis, as $1/{\rho }^2$, $\rho$ being the cylindrical, radial coordinate defined with respect to the spin axis. These solutions demonstrate the subtle relationship between the Yang-Mills and gravitational interactions, i.e., gauge/gravity duality.

arXiv comment31 pages, 6 jpeg figures

References in corpus (11)

• On non-abelian generalisation of Born-Infeld action in string theory
• Exact traversable wormhole solution in bumblebee gravity
• Dirac actions for D-branes on backgrounds with fluxes
• Tunneling of Vector Particles from Lorentzian Wormholes in 3+1 Dimensions
• Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
• Brane Effective Actions, Kappa-Symmetry and Applications
• Higher dimensional thin-shell wormholes in Einstein-Yang-Mills-Gauss-Bonnet gravity
• Non-abelian Born-Infeld and kappa-symmetry
• d-dimensional non-asymptotically flat thin-shell wormholes in Einstein-Yang-Mills-Dilaton gravity
• On the supersymmetric non-abelian Born-Infeld action
• Electric Dipole Moment of a BPS Monopole