TY - JOUR

T1 - 7D bosonic higher spin gauge theory

T2 - Symmetry algebra and linearized constraints

AU - Sezgin, E.

AU - Sundell, P.

N1 - Funding Information:
P.S. is thankful to U. Danielsson and F. Kristiansen for discussions. This research project has been supported in part by NSF Grant PHY-0070964.

PY - 2002/7/8

Y1 - 2002/7/8

N2 - We construct the minimal bosonic higher spin extension of the 7D AdS algebra SO(6, 2), which we call hs(8*). The generators, which have spin s = 1, 3, 5,..., are realized as monomials in Grassmann even spinor oscillators. Irreducibility, in the form of tracelessness, is achieved by modding out an infinite-dimensional ideal containing the traces. In this a key role is played by the tree bilinear traces which form an SU(2)K algebra. We show that gauging of hs(8*) yields a spectrum of physical fields with spin s = 0, 2, 4,... which make up a UIR of hs(8*) isomorphic to the symmetric tensor product of two 6D scalar doubletons. The scalar doubleton is the unique SU(2)K invariant 6D doubleton. The spin s ≥ 2 sector comes from an hs(8*)-valued one-form which also contains the auxiliary gauge fields required for writing the curvature constraints in covariant form. The physical spin s = 0 field arises in a separate zero-form in a 'quasi-adjoint' representation of hs(8*). This zero-form also contains the spin s ≥ 2 Weyl tensors, i.e., the curvatures which are non-vanishing on-shell. We suggest that the hs(8*) gauge theory describes the minimal bosonic, massless truncation of M-theory on AdS7 × S4 in an unbroken phase where the holographic dual is given by N free (2, 0) tensor multiplets for large N.

AB - We construct the minimal bosonic higher spin extension of the 7D AdS algebra SO(6, 2), which we call hs(8*). The generators, which have spin s = 1, 3, 5,..., are realized as monomials in Grassmann even spinor oscillators. Irreducibility, in the form of tracelessness, is achieved by modding out an infinite-dimensional ideal containing the traces. In this a key role is played by the tree bilinear traces which form an SU(2)K algebra. We show that gauging of hs(8*) yields a spectrum of physical fields with spin s = 0, 2, 4,... which make up a UIR of hs(8*) isomorphic to the symmetric tensor product of two 6D scalar doubletons. The scalar doubleton is the unique SU(2)K invariant 6D doubleton. The spin s ≥ 2 sector comes from an hs(8*)-valued one-form which also contains the auxiliary gauge fields required for writing the curvature constraints in covariant form. The physical spin s = 0 field arises in a separate zero-form in a 'quasi-adjoint' representation of hs(8*). This zero-form also contains the spin s ≥ 2 Weyl tensors, i.e., the curvatures which are non-vanishing on-shell. We suggest that the hs(8*) gauge theory describes the minimal bosonic, massless truncation of M-theory on AdS7 × S4 in an unbroken phase where the holographic dual is given by N free (2, 0) tensor multiplets for large N.

UR - http://www.scopus.com/inward/record.url?scp=0037043142&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(02)00299-7

DO - 10.1016/S0550-3213(02)00299-7

M3 - Article

AN - SCOPUS:0037043142

VL - 634

SP - 120

EP - 140

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -