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Fractionalization without time-reversal symmetry breaking is along-sought-after goal in the study of correlated phenomena. The earlierproposal of correlated insulating states at $n \pm 1/3$ filling in twistedbilayer graphene and recent experimental observations of insulating states atthose fillings strongly suggest that moir\'e graphene systems provide a newplatform to realize time-reversal symmetric fractionalized states. However, thenature of fractional excitations and the effect of quantum fluctuation on thefractional correlated insulating states are unknown. We show that excitationsof the fractional correlated insulator phases in the strong coupling limitcarry fractional charges and exhibit fractonic restricted mobility. Uponintroduction of quantum fluctuations, the resonance of ``lemniscate" structuredoperators drives the system into ``quantum lemniscate liquid (QLL)" or``quantum lemniscate solid (QLS)". We find an emergent $U(1)\times U(1)$ 1-formsymmetry unifies distinct motions of the fractionally charged excitations inthe strong coupling limit and in the QLL phase while providing a new mechanismfor fractional excitations in two-dimension. We predict emergent Luttingerliquid behavior upon dilute doping in the strong coupling limit due torestricted mobility and discuss implications at a general $n \pm 1/3$ filling.

Fractionalization in Fractional Correlated Insulating States at $n\pm 1/3$ filled twisted bilayer graphene