Abstract
We investigate half-BPS Type IIB supergravity solutions with spacetime geometry AdS2 × S6 warped over a Riemann surface Σ. The general local solution was obtained in earlier work in terms of two holomorphic functions \( {\mathcal{A}}_{\pm } \) on Σ. In the first part of this paper we seek global solutions corresponding to the near-horizon behavior of (p, q)-string junctions. We identify the type of singularity in \( {\mathcal{A}}_{\pm } \) needed at the boundary of Σ to match the solutions locally onto the classic (p, q)-string solution. We construct solutions with multiple (p, q)-strings, but the existence of geodesically complete solutions remains unsettled. In a second part we construct multi-parameter families of non-compact globally regular and geodesically complete solutions with asymptotic regions and an AdS2 throat which caps off smoothly.
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Corbino, D., D’Hoker, E., Kaidi, J. et al. Global half-BPS AdS2 × S6 solutions in Type IIB. J. High Energ. Phys. 2019, 39 (2019). https://doi.org/10.1007/JHEP03(2019)039
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DOI: https://doi.org/10.1007/JHEP03(2019)039