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We present the ground state properties of a new quantum antiferromagnetYbBO$_3$ in which the isotropic Yb$^{3+}$ triangular layers are separated by anon-magnetic layer of partially occupied B and O(2) sites. The magnetizationand heat capacity data establish a spin-orbit entangled effective spin $J_{\rmeff} = 1/2$ state of Yb$^{3+}$ ions at low temperatures, interactingantiferromagnetically with an intra-layer coupling $J/k_{\rm B} \simeq 0.53$ K.The absence of oscillations and a $1/3$ tail in the zero-field muon asymmetriesrule out the onset of magnetic long-range-order as well as spin-freezing downto 20~mK. An anomalous broad maximum in the temperature dependent heat capacitywith a unusually reduced value and a broad anomaly in zero-field muondepolarization rate centered at $T^*\simeq 0.7 \frac{J}{k_{\rm B}}$ providecompelling evidence for a wide fluctuating regime ($0.182 \leq T/J \leq 1.63$)with slow relaxation. We infer that the fluctuating regime is a universalfeature of a highly frustrated triangular lattice antiferromagnets while theabsence of magnetic long-range-order is due to perfect two-dimensionality ofthe spin-lattice protected by non-magnetic site disorder.

Absence of magnetic order and emergence of unconventional fluctuations in $J_{\rm eff} =1/2$ triangular lattice antiferromagnet YbBO$_3$