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We study a $3$-level quantum dot in the singly occupied cotunneling regimecoupled via a generic tunneling matrix to several multi-channel leads inequilibrium or nonequilibrium. We derive an effective model where also eachreservoir has three channels labelled by the quark flavors $u$, $d$ and $s$with an effective d.o.s. polarized w.r.t. an eight-dimensional $F$-spincorresponding to the eight generators of $SU(3)$. In equilibrium we perform astandard poor man scaling analysis and show that tunneling via virtualintermediate states induces flavor fluctuations on the dot which become$SU(3)$-symmetric at a characteristic and exponentially small low-energy scale$T_K$. Using the numerical renormalization group (NRG) we study in detail thelinear conductance and confirm the $SU(3)$-symmetric Kondo fixed point withuniversal conductance $G=2.25 e^2/h$ for various tunneling setups by tuning thelevel spacings on the dot. In contrast to the equilibrium case, we find innonequilibrium that the fixed point model is not $SU(3)$-symmetric butcharacterized by rotated $F$-spins for each reservoir with total vanishing sum.At large voltage we analyse the $F$-spin magnetization and the current ingolden rule as function of a magnetic field for the isospin of the up/downquark and the level spacing to the strange quark. As a smoking gun to detectthe nonequilibrium fixed point we find that the curve of zero $F$-spinmagnetization has a particular shape on the dot parameters. We propose that ourfindings can be generalized to the case of quantum dots with an arbitrarynumber $N$ of levels.

Flavor fluctuations in 3-level quantum dots: Generic SU(3)-Kondo fixed point in equilibrium and non-Kondo fixed points in nonequilibrium