Multi-centered AdS3 solutions from Virasoro conformal blocks

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F17%3A00483992" target="_blank" >RIV/68378271:_____/17:00483992 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/JHEP03(2017)129" target="_blank" >http://dx.doi.org/10.1007/JHEP03(2017)129</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP03(2017)129" target="_blank" >10.1007/JHEP03(2017)129</a>

Result language

angličtina

Original language name

Multi-centered AdS3 solutions from Virasoro conformal blocks

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

<a href="/en/project/GA14-31689S" target="_blank" >GA14-31689S: Quantum gravity and string theory</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

—

Volume of the periodical

2017

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

35

Pages from-to

—

UT code for WoS article

000397706900002

EID of the result in the Scopus database

2-s2.0-85016258376