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Bulk TiSe$_2$ is an intrinsically layered transition metal dichalcogenide(TMD) hosting both superconducting and charge density wave (CDW) ordering.Motivated by the recent progress in preparing two-dimensional TMDs, we studythese frustrated orderings in {\it single} trilayer of TiSe$_2$ within arenormalization group approach. We establish that a novel state withtime-reversal symmetry broken chiral superconductivity can emerge from thestrong competition between CDW formation and superconductivity. Its stabilitydepends on the precise strength and screening of the electron-electroninteractions in two-dimensional TiSe$_2$.

Electronic correlations stabilizing time-reversal broken chiral superconductivity in single-trilayer TiSe$_2$