Minimal String Theory is Logarithmic

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex2e 13 pages; v.2: minor corrections, typos fixed

Scientific paper

10.1016/j.physletb.2004.12.047

We study the simplest examples of minimal string theory whose worldsheet description is the unitary (p,q) minimal model coupled to two-dimensional gravity (Liouville field theory). In the Liouville sector, we show that four-point correlation functions of `tachyons' exhibit logarithmic singularities, and that the theory turns out to be logarithmic. The relation with Zamolodchikov's logarithmic degenerate fields is also discussed. Our result holds for generic values of (p,q).

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