- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
We study the formulation of massless higher-spin gravity on AdS3 in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be further quotiented out. We show that doing so leads to a bulk version of the Coulomb gas formalism for W N CFT’s: the generators of the residual gauge symmetries are the classical limits of screening charges, while the gauge-invariant observables are classical W N charges. Quantization in these variables can be carried out using standard techniques and makes manifest a remnant of the triality symmetry of W∞[λ]. This symmetry can be used to argue that the theory should be supplemented with additional matter content which is precisely that of the Prokushkin-Vasiliev theory. As a further application, we use our formulation to quantize a class of conical surplus solutions and confirm the conjecture that these are dual to specific degenerate W N primaries, to all orders in the large central charge expansion. Show more
Journal / seriesJournal of High Energy Physics
Pages / Article No.
SubjectAdS-CFT Correspondence; Conformal and W Symmetry; Field Theories in Lower Dimensions; Higher Spin Gravity
Organisational unit03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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