Revivals and Casimir energy for a free Maxwell field (spin-1 singleton) on R x Sd for odd d

Abstract

Earlier work on quantum revivals is extended to Maxwell fields (aka spin-one singletons). An evaluation of the Casimir energy on the generalised Einstein universe is also done to illustrate the utility of the Barnes zeta--function and generalised Bernoulli polynomials. Contact is made with some recent calculations in AdS/CFT. In particular. higher order singletons are considered with the Casimir energy being a polynomial in the order.

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