Dispersion Relation of the GMP Mode in the Nematic Phase of Fractional Quantum Hall States*

We compute the dispersion relation for the GMP mode of the fractional quantum Hall effect in the nematic phase for Jain sequences at large N using Golkar, Nguyen, Roberts and Son's 'higher-spin theory' for magnetorotons. The dispersion relation is computed to all orders in the momentum expansion and is valid wherever the momentum expansion holds. It captures the magnetoroton minimum at finite momentum in the regime where the momentum expansion still holds.