We study the fully-strange tetraquark states with the exotic quantum numbers
JPC=0+β and 2+β. We construct their corresponding
diquark-antidiquark interpolating currents, and apply the QCD sum rule method
to calculate both their diagonal and off-diagonal correlation functions. The
obtained results are used to construct some mixing currents that are nearly
non-correlated, from which we extract the masses of the lowest-lying states to
be M0+ββ=2.45β0.44+0.33β GeV and M2+ββ=3.07β0.33+0.25β GeV. We apply the Fierz rearrangement to transform the
diquark-antidiquark currents to be the combinations of meson-meson currents,
and the obtained Fierz identities indicate that these two states may be
searched for in the P-wave Ο(1020)f0β(1710)/Ο(1020)f2β²β(1525)(βΟKKΛ/ΟΟΟ) channels.Comment: 14 pages, 5 figures, 1 tables, revised version to be published in PR