Multi-centered higher spin solutions from W-N conformal blocks

0502084 - FZÚ 2019 RIV US eng J - Journal Article
Hulík, Ondřej - Raeymaekers, Joris - Vasilakis, Orestis
Multi-centered higher spin solutions from W-N conformal blocks.
Journal of High Energy Physics. Roč. 2018, č. 11 (2018), s. 1-48, č. článku 101. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA MŠMT EF15_003/0000437; GA ČR GA17-22899S
Grant - others:OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institutional support: RVO:68378271
Keywords : symmetries * dynamics * gravity * AdS-CFT correspondence * Chern-Simons theories * conformal and W symmetry * Higher Spin Gravity
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 5.833, year: 2018

Motivated by the question of bulk localization in holography, we study the problem of constructing multi-centered solutions in higher spin gravity which describe point particles in the interior of AdS3. In the Chern-Simons formulation these take into account the backreaction after adding Wilson line sources. We focus on chiral solutions where only the left-moving sector is excited. In that case it is possible to choose a gauge where the dynamical variables are a set of Toda fields living in the bulk. The problem then reduces to solving the AN−1 Toda equations with delta function sources, which in turn requires solving an associated monodromy problem.We show that this monodromy problem is equivalent to the monodromy problem for a particular WN vacuum conformal block at large central charge.Therefore, knowledge of the WN vacuum block determines the multi-centered solution.Our calculations go beyond the heavy-light approximation by including the backreaction of all higher spin particles
Permanent Link: http://hdl.handle.net/11104/0294029