We demonstrate strong coupling between light in a dielectric nanocavity with deep sub-wavelength confinement and excitons in a monolayer of molybdenum ditelluride. Avoided crossing is demonstrated by both photoluminescence and reflection measurements, from which we extract a light-matter interaction strength of and , respectively. The associated Rabi splitting is twice as large as the system’s losses. These values are in good agreement with values obtained by a novel exciton reaction coordinate formalism, yielding . The strong light-matter interaction, combined with low losses and sub-wavelength confinement of light, black demonstrates a new regime of light-matter interactions where strong nonlinearities at the single-photon level are expected.

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