Real forms of complex higher spin field equations and new exact solutions |
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Authors: | Carlo Iazeolla Ergin Sezgin Per Sundell |
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Institution: | 1. Dipartimento di Fisica, Università di Roma “Tor Vergata”, INFN, Sezione di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy;2. Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, 56100 Pisa, Italy;3. George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, TX 77843-4242, USA |
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Abstract: | We formulate four-dimensional higher spin gauge theories in spacetimes with signature (4−p,p) and non-vanishing cosmological constant. Among them are chiral models in Euclidean (4,0) and Kleinian (2,2) signature involving half-flat gauge fields. Apart from the maximally symmetric solutions, including de Sitter spacetime, we find: (a) SO(4−p,p) invariant deformations, depending on one continuous and infinitely many discrete parameters, including a degenerate metric of rank one; (b) non-maximally symmetric solutions with vanishing Weyl tensors and higher spin gauge fields, that differ from the maximally symmetric solutions in the auxiliary field sector; and (c) solutions of the chiral models furnishing higher spin generalizations of type D gravitational instantons, with an infinite tower of Weyl tensors proportional to totally symmetric products of two principal spinors. These are apparently the first exact 4D solutions with non-vanishing massless higher spin fields. |
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