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An Exotic Theory of Massless Spin-Two Fields in Three Dimensions

Nicolas Boulanger·Leonardo Gualtieri
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Abstract

It is a general belief that the only possible way to consistently deform the Pauli-Fierz action, changing also the gauge algebra, is general relativity. Here we show that a different type of deformation exists in three dimensions if one allows for PT non-invariant terms. The new gauge algebra is different from that of diffeomorphisms. Furthermore, this deformation can be generalized to the case of a collection of massless spin-two fields. In this case it describes a consistent interaction among them.

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Nicolas Boulanger, Leonardo Gualtieri. 2001-03-23. An Exotic Theory of Massless Spin-Two Fields in Three Dimensions. https://doi.org/10.1088/0264-9381%2F18%2F8%2F306

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