Global half-BPS AdS2×S6AdS_2\times S^6 solutions in Type IIB

Dec 25, 2018
28 pages
Published in:
  • JHEP 03 (2019) 039
  • Published: Mar 7, 2019
e-Print:

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Abstract: (Springer)
We investigate half-BPS Type IIB supergravity solutions with spacetime geometry AdS2_{2} × S6^{6} warped over a Riemann surface Σ. The general local solution was obtained in earlier work in terms of two holomorphic functions A± {\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 A± {\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_{2} throat which caps off smoothly.
Note:
  • 27 pages, 2 figures; v2: references added
  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Superstring Vacua
  • supergravity: solution
  • supergravity: Type IIB
  • space-time: geometry
  • anti-de Sitter
  • Riemann surface
  • holomorphic
  • singularity