TY - JOUR

T1 - Real forms of complex higher spin field equations and new exact solutions

AU - Iazeolla, Carlo

AU - Sezgin, Ergin

AU - Sundell, Per

N1 - Funding Information:
We are grateful to J. Engquist and A. Sagnotti for discussions. P.S. thanks the Physics Department at Texas A&M University, and E.S. thanks the Scuola Normale Superiore, where part of this work was done, for hospitality. The research of C.I. was supported in part by INFN; by the MIUR-PRIN contract 2003-023852; by the EU contracts MRTN-CT-2004-503369 and MRTN-CT-2004-512194; by the INTAS contract 03-51-6346; and by the NATO grant PST.CLG.978785. The research of E.S. was supported in part by NSF Grant PHY-0555575. The research of P.S. was supported in part by a visiting professorship issued by Scuola Normale Superiore; by INFN; by the MIUR-PRIN contract 2003-023852; by the EU contracts MRTN-CT-2004-503369 and MRTN-CT-2004-512194; by the INTAS contract 03-51-6346; and by the NATO grant PST.CLG.978785.

PY - 2008/11/3

Y1 - 2008/11/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36549010401&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.08.002

DO - 10.1016/j.nuclphysb.2007.08.002

M3 - Article

AN - SCOPUS:36549010401

VL - 791

SP - 231

EP - 264

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -