Global half-BPS AdS2 \xd7 S6 solutions in Type IIB

Abstract

Listen

Translate article

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.