Long-range spin-orbital order in the spin-orbital <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mi mathvariant="normal">U</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> model

By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\times$SU(2)$\times$U(1) symmetry on triangular lattice. This was proposed to describe some $d^1$ materials and argued host liquid ground state. In our work trial wavefunction of its is approximated by an infinite projected entangled simplex optimized imaginary-time evolution. Contrary previous conjecture, find that two SU(2) symmetries are broken, resulting in stripe order same magnitude $m=0.085(10)$. value about half spin-1/2 Heisenberg antiferromagnet. Our result demonstrates although long-sought absent this significantly reduced due enhanced quantum fluctuation. suggests high-symmetry models promising searching for exotic states matter condensed-matter physics.