Non-perturbative RR Potentials in the c=1 Matrix Model

Details Non-perturbative RR Potentials in the c=1 Matrix Model Non-perturbative RR Potentials in the c=1 Matrix Model

2003-12-01

arxiv.org/abs/hep-th/0312021v1

JHEP 0406 (2004) 043

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 4 figures

Scientific paper

10.1088/1126-6708/2004/06/043

We use the \hat c=1 matrix model to compute the potential energy V(C) for (the zero mode of) the RR scalar in two-dimensional type 0B string theory. The potential is induced by turning on a background RR flux, which in the matrix model corresponds to unequal Fermi levels for the two types of fermions. Perturbatively, this leads to a linear runaway potential, but non-perturbative effects stabilize the potential, and we find the exact expression V(C)=\frac{1}{2\pi}\int da\arccos [\cos(C)/\sqrt{1+e^{-2\pi a}}]. We also compute the finite-temperature partition function of the 0B theory in the presence of flux. The perturbative expansion is T-dual to the analogous result in type 0A theory, but non-perturbative effects (which depend on C) do not respect naive R\to 1/R duality. The model can also be used to study scattering amplitudes in background RR fluxes.

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