symmetry, and does not distinguish the Dirac composite Fermi liquid theory from other putative particle-hole symmetric states, the non-zero linear-T component of the Nernst signal is not a direct consequence of symmetry, but rather a specific prediction for the composite Dirac liquid state. Hence its observation is more directly tied to the existence of a composite Fermi surface with non-zero Berry phase. In practice, the strongest experimental evidence for Berry phase structure of the composite Fermi surface would come from looking for consistency with a number of different electrical and thermoelectric transport predictions.

[[**Discussion –**]{}]{} To summarize, we have analyzed the thermopower of composite Fermi liquid (CFL) states with and without particle hole symmetry, and demonstrated that the Nernst effect is directly sensitive to the Berry curvature of the composite Fermi surface, and can be used to distinguish between previously HLR and Dirac theories of the CFL. The computations of this paper amount to a self-consistent RPA treatment of gauge fluctuations, in the spirit of Ioffe and Larkin’s method for computing the transport response of fractionalized phases [@IoffeLarkin]. This approach is formally justified in the limit of a large number of fermion flavors, however, since the effects we predict are 