On matter coupled to the higher spin square

0483957 - FZÚ 2018 RIV GB eng J - Journal Article
Raeymaekers, Joris
On matter coupled to the higher spin square.
Journal of Physics A-Mathematical and Theoretical. Roč. 49, č. 35 (2016), s. 1-15, č. článku 355402. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR(CZ) GA14-31689S
Institutional support: RVO:68378271
Keywords : higher spin symmetry * string theory * AdS/CFT correspondence
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 1.865, year: 2016

Gaberdiel and Gopakumar recently proposed that the tensionless limit of string theory on AdS(3) x S-3 x T-4 takes the form of a higher spin theory with a gauge algebra that is referred to as the higher spin square (hss). In this note, we formulate the linearized Vasiliev-type equations which describe a matter field coupled to the hss. We study the particle spectrum of this field and show that it accounts for the entire untwisted sector of the dual symmetric orbifold CFT, thereby confirming a conjecture by Gaberdiel and Gopakumar. In doing so, we pinpoint the group-theoretic data which determine the spectrum of a matter field coupled to a general higher spin algebra, which we illustrate by revisiting the theory based on the hs[1/2] algebra.
Permanent Link: http://hdl.handle.net/11104/0279127