Supersymmetric Dyons, Superstrings, and Rotating Wormholes Academic Article uri icon

Abstract

  • We construct supersymmetric dyon solutions based on the ‘t Hooft/Polyakov monopole. We show that these solutions satisfy

    κ

    -symmetry constraints and can therefore be generalized to supersymmetric solutions of type I

    S
    O


    32



     string theory. After applying a

    T

    -duality transformation to these solutions, we obtain two

    D
    3

    -branes connected by a wormhole, embedded in an

    M
    5

    -brane. We analyze the geometries of each

    D
    3

    -brane for two cases: one corresponding to a dyon with vanishing spin and the other corresponding to a magnetic monopole with nonvanishing spin. In the case of the vanishing spin, the scalar curvature is finite everywhere. In the case of the nonvanishing 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
    /


    ρ


    2



    ,

    ρ

     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.

Publication Date

  • 2022-11-01