Conformal perturbation theory for twisted fields

Christoph A. Keller, Ida G. Zadeh

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We investigate second order conformal perturbation theory for Z2 orbifolds of conformal field theories in two dimensions. To evaluate the necessary twisted sector correlation functions and their integrals, we map them from the sphere to its torus double cover. We discuss how this relates crossing symmetry to the modular group, and introduce a regularization scheme on the cover that allows to evaluate the integrals numerically. These methods do not require supersymmetry. As an application, we show that in the torus orbifold of 8 and 16 free bosons, Z2 twist fields are marginal at first order, but stop being marginal at second order.

Original languageEnglish (US)
Article number095401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number9
StatePublished - Feb 4 2020


  • conformal field theory
  • conformal perturbation theory
  • discrete orbifolds

ASJC Scopus subject areas

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


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