Non-perturbative RR potentials in the ĉ=1 matrix model
We use the ##IMG## [http://ej.iop.org/icons/Entities/hatc.gif] 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 correspo...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2 July 2004
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| In: |
Journal of high energy physics
Year: 2004, Issue: 6, Pages: 1-32 |
| ISSN: | 1029-8479 |
| DOI: | 10.1088/1126-6708/2004/06/043 |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1088/1126-6708/2004/06/043 Verlag, kostenfrei, Volltext: http://stacks.iop.org/1126-6708/2004/i=06/a=043 
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| Author Notes: | David J. Gross and Johannes Walcher |
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| 520 | |a We use the ##IMG## [http://ej.iop.org/icons/Entities/hatc.gif] 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 ) = (1/2π) ∫ da arccos [cos ( C )/(1+e −2π a ) 1/2 ]. 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 →1/ R duality. The model can also be used to study scattering amplitudes in background RR fluxes. | ||
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