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We show an $\rm O(4)$ symmetry emerges at a deconfined quantum tricriticalpoint of a valence bond solid and two ferromagnetic phases in an $S = 1/2$frustrated spin chain by combining analytical analysis and numericalcalculations with the time evolution of infinite matrix product states. Withthis symmetry, the valence-bond solid and the three magnetic order parametersform an $\rm O(4)$ pseudovector in the infrared limit, and can continuouslyrotate into each other. We numerically determine the location of the quantumtricritical point and study the scaling of the correlation functions of the$\rm O(4)$ vector components and associated conserved currents. The criticalbehaviors of these correlation functions are all in accord with fieldtheoretical results. The emergent $\rm O(4)$ symmetry at the tricritical pointis justified by the integer value of the scaling dimension of the emergentNoether conserved currents. Our findings not only give direct evidence of sucha high emergent symmetry at an one-dimensional valence bond solid to magnetictransition but also shed light on exploring emergent symmetries in higherdimensions.

Emergent O(4) symmetry at an one-dimensional deconfined quantum tricritical point