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We study magnetoconductance of the small bandgap carbon nanotube quantum dotsin the presence of spin-orbit coupling in the strong correlations regime. Thefinite-U mean field slave boson approach is used to study many-body effects.Different degeneracies are restored in magnetic field and Kondo effects ofdifferent symmetries arise including SU(3) effects of different types. Fullspin-orbital degeneracy might be recovered for zero field and correspondinglySU(4) Kondo effect sets in. We point out on the possibility of the occurrenceof electron-hole Kondo effects in slanting magnetic fields, which we predictwill occur in the available magnetic fields for orientation of fields close toperpendicular. When the field approaches transverse orientation a crossoverfrom SU(2) or SU(3) symmetry into SU(4) is observed.

Kondo effects in small bandgap carbon nanotube quantum dots