Multi-centered AdS.sub.3./sub. solutions from Virasoro conformal blocks

0483992 - FZÚ 2018 RIV US eng J - Journal Article
Hulík, Ondřej - Procházka, Tomáš - Raeymaekers, Joris
Multi-centered AdS₃ solutions from Virasoro conformal blocks.
Journal of High Energy Physics. Roč. 2017, č. 3 (2017), s. 1-35, č. článku 129. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GA14-31689S
Institutional support: RVO:68378271
Keywords : AdS-CFT correspondence * classical theories of gravity * conformal and W symmetry
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 5.541, year: 2017

We revisit the construction of multi-centered solutions in three-dimensional anti-de Sitter gravity in the light of the recently discovered connection between particle worldlines and classical Virasoro conformal blocks. We focus on multi-centered solutions which represent the backreaction of point masses moving on helical geodesics in global AdS(3), and argue that their construction reduces to a problem in Liouville theory on the disk with Zamolodchikov-Zamolodchikov boundary condition. In order to construct the solution one needs to solve a certain monodromy problem which we argue is solved by a vacuum classical conformal block on the sphere in a particular channel. In this way we construct multi-centered gravity solutions by using conformal blocks special functions. We show that our solutions represent left-right asymmetric configurations of operator insertions in the dual CFT. We also provide a check of our arguments in an example and comment on other types of solutions.
Permanent Link: http://hdl.handle.net/11104/0279160