Exact N=2 Landau-Ginzburg Flows

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.

24 pages, BUHEP-93-17, RU-93-29

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Cited by in corpus (9)

• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• New families of flows between two-dimensional conformal field theories
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Massless integrable quantum field theories and massless scattering in 1+1 dimensions
• A study of integrable form factors in massless relativistic AdS_3
• Strings on type IIB pp-wave backgrounds with interacting massive theories on the worldsheet
• Kahler Potentials and Renormalization Group Flows in N=2 Landau-Ginzburg Models