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arXiv · hep-th/9307166

Exact N=2 Landau-Ginzburg Flows

Paul Fendley·Ken Intriligator
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Abstract

We find exactly solvable N=2-supersymmetric flows whose infrared fixed points are the N=2 minimal models. The exact S-matrices and the Casimir energy (a c-function) are determined along the entire renormalization group trajectory. The c-function runs from c=3 (asymptotically) in the UV to the N=2 minimal model values of the central charge in the IR, leading us to interpret these theories as the Landau-Ginzburg models with superpotential $X^{k+2}$. Consideration of the elliptic genus gives further support for this interpretation. We also find an integrable model in this hierarchy which has spontaneously-broken supersymmetry and superpotential $X$, and a series of integrable models with (0,2) supersymmetry. The flows exhibit interesting behavior in the UV, including a relation to the N=2 super sine-Gordon model. We speculate about the relation between the kinetic term and the cigar target-space metric.

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Paul Fendley, Ken Intriligator. 1993-07-27. Exact N=2 Landau-Ginzburg Flows. https://doi.org/10.1016/0550-3213(94)90006-x

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