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Non-perturbative RR Potentials in the c=1 Matrix Model | | David J. Gross
; Johannes Walcher
; | | Date: |
1 Dec 2003 | | Journal: | JHEP 0406 (2004) 043 | | Subject: | hep-th | | Abstract: | 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}{2pi}int daarccos [cos(C)/sqrt{1+e^{-2pi 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 o 1/R duality. The model can also be used to study scattering amplitudes in background RR fluxes. | | Source: | arXiv, hep-th/0312021 | | Services: | Forum | Review | PDF | Favorites | |
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