Flux-vacua in two dimensional string theory

We analyze the two dimensional type 0 theory with background RR-fluxes. Both the 0A and the 0B theory have two distinct fluxes q and q-tilde . We study these two theories at finite temperature (compactified on a euclidean circle of radius R) as a function of the fluxes, the tachyon condensate μ and the radius R. Surprisingly, the dependence on q, q-tilde and μ is rather simple. The partition function is the absolute value square of a holomorphic function of y = vertical bar q vertical bar + vertical bar q-tilde vertical bar +i(2α')1/2μ (up to a simple but interesting correction). As expected, the 0A and the 0B answers are related by T-duality. Our answers are derived using the exact matrix models description of these systems and are interpreted in the low energy spacetime lagrangian