On exact solution of topological CFT models based on Kazama-Suzuki cosets

Alexander Belavin, Vladimir Belavin

Research output: Contribution to journalArticlepeer-review


We compute the flat coordinates on the Frobenius manifolds arising on the deformation space of Gepner ŜU (3)k chiral rings. The explicit form of the flat coordinates is important for exact solutions of models of topological CFT and 2D Liouville gravity. We describe the case k=3, which is of particular interest because apart from the relevant chiral fields it contains a marginal one. Whereas marginal perturbations are relevant in different contexts, their analysis requires additional care compared to the relevant perturbations.

Original languageEnglish
Article number41LT02
JournalJournal of Physics A: Mathematical and Theoretical
Issue number41
StatePublished - 21 Sep 2016
Externally publishedYes


  • 2D Liouville gravity
  • Frobenius manifolds
  • Gepner chiral rings
  • topological CFT

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Statistics and Probability
  • Mathematical Physics
  • Modelling and Simulation


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