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We present a tensor network especially suited for multi-orbital Andersonimpurity models and as an impurity solver for multi-orbital dynamicalmean-field theory (DMFT). The solver works directly on the real-frequency axisand yields very high spectral resolution at all frequencies. We use a largenumber $\left(\mathcal{O}(100)\right)$ of bath sites, and therefore achieve anaccurate representation of the bath. The solver can treat full rotationallyinvariant interactions with reasonable numerical effort. We show the efficiencyand accuracy of the method by a benchmark for the testbed material SrVO$_3$.There we observe multiplet structures in the high-energy spectrum which arealmost impossible to resolve by other multi-orbital methods. The resultingstructure of the Hubbard bands can be described as a broadened atomic spectrumwith rescaled interaction parameters. Additional features emerge when $U$ isincreased. The impurity solver offers a new route to the calculation of precisereal-frequency spectral functions of correlated materials.

Fork Tensor Product States - Efficient Three Orbital Real Time DMFT Solver