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In this article, we construct the $C \otimes \gamma_\mu C$ and $C\gamma_5\otimes \gamma_5\gamma_\mu C$ type currents to interpolate the vectortetraquark states, then carry out the operator product expansion up to thevacuum condensates of dimension-10 in a consistent way, and obtain four QCD sumrules. In calculations, we use the formula$\mu=\sqrt{M^2_{Y}-(2{\mathbb{M}}_c)^2}$ to determine the optimal energy scalesof the QCD spectral densities, moreover, we take the experimental values of themasses of the $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$ asinput parameters and fit the pole residues to reproduce the correlationfunctions at the QCD side. The numerical results support assigning the$Y(4660/4630)$ to be the $C \otimes \gamma_\mu C$ type vector tetraquark state$c\bar{c}s\bar{s}$, assigning the $Y(4360/4320)$ to be $C\gamma_5 \otimes\gamma_5\gamma_\mu C$ type vector tetraquark state $c\bar{c}q\bar{q}$, anddisfavor assigning the $Y(4260/4220)$ and $Y(4390)$ to be the pure vectortetraquark states.

Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$