Abstract
We consider solutions of massive IIA supergravity corresponding to the half-BPS intersection of D8/D4-branes with fundamental strings. The $1+1$-dimensional intersection preserves the symmetry $D(2,1;\gamma;1) \times SO(4)$. We give a reduction and partial integration of the BPS equations for this symmetry group. We then specialize to the cases of enhanced supersymmetry corresponding to $\gamma = -1/2,-2$ or $\gamma = 1$. In the first case, we show that the only solution with enhanced symmetry is given by the $AdS_6$ geometry describing the near horizon geometry of D8/D4-branes in the presence of an O8-plane. In the second case, we identify novel solutions corresponding to fundamental strings ending on D8-branes and a second set of novel solutions corresponding to fundamental strings ending on an O8-plane. In both cases, the fundamental string geometry contains an asymptotically flat region where the string coupling goes to zero. We also show that there are no solutions corresponding to $1+0$-dimensional CFTs, which one may have hoped to construct by suspending fundamental strings between D8-branes.
Highlights
In order to better understand the structure of the BPS system, we study the special cases of enhanced supersymmetry, which corresponds to setting certain fluxes to zero and setting γ to specific values
We show the most general solution is given by the AdS6 geometries of [19], which is the dual of the 5-dimensional gauge theory without the half-BPS Wilson line
The remaining point of supersymmetry enhancement leads to novel solutions
Summary
We consider brane configurations which preserve D(2, 1; γ; 1) × SO(4) symmetry. It is believed that this theory admits supersymmetric surface operators ( known as the self-dual string), which preserve half of the supersymmetries and break the symmetry to OSp(4∗|2) ⊕ OSp(4∗|2).4 These operators arise from introducing the M2-branes of table 1. The intersecting M5-branes gives rise to a 2d defect preserving half of the supersymmetries, such a superconformal defect has yet to be constructed either directly in the field theory or in the dual supergravity solutions. The special value of γ = 1 corresponds to the extended symmetry OSp(8|2, R) This symmetry arises as the superconformal symmetry associated with fundamental strings ending on or intersecting the D8-branes/O8-plane. In massless type IIA theory, the fundamental string sources the NS-NS three form H3, while the D0-branes source the Ramond-Ramond two form F2. The fundamental string sources the B2 gauge potential only electrically so we set b1 to zero
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