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Quantizing higher-spin gravity in free-field variables | | Andrea Campoleoni
; Stefan Fredenhagen
; Joris Raeymaekers
; | | Date: |
21 Dec 2017 | | Abstract: | We study the formulation of massless higher-spin gravity on AdS$_3$ 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 $W_infty[lambda]$. 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. | | Source: | arXiv, 1712.8078 | | Services: | Forum | Review | PDF | Favorites | |
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