Multi-centered AdS3 solutions from Virasoro conformal blocks

被引:23
作者
Hulik, Ondrej [1 ,2 ]
Prochazka, Tomas [3 ]
Raeymaekers, Joris [1 ]
机构
[1] ASCR, Inst Phys, Slovance 2, Prague 18221 8, Czech Republic
[2] Charles Univ Prague, Fac Math & Phys, Inst Particle Phys & Nucl Phys, V Holesovickach 2, CR-18000 Prague 8, Czech Republic
[3] Ludwig Maximilian Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Theresienstr 37, D-80333 Munich, Germany
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 03期
关键词
AdS-CFT Correspondence; Classical Theories of Gravity; Conformal and W Symmetry; BLACK-HOLE; GRAVITY; DYNAMICS;
D O I
10.1007/JHEP03(2017)129
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页数:37
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