Dorey, Patrick,
Dunning, Clare,
Tateo, Roberto
(2000)
*
New families of flows between two-dimensional conformal field theories.
*
Nuclear Physics B,
578
(3).
pp. 699-727.
ISSN 0550-3213.
(doi:10.1016/S0550-3213(00)00185-1)
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Official URL http://dx.doi.org/10.1016/S0550-3213(00)00185-1 |

## Abstract

We present evidence for the existence of infinitely-many new families of renormalisation group flows between the nonunitary minimal models of conformal field theory. These are associated with perturbations by the ?21 and ?15 operators, and generalise a family of flows discovered by Martins. In all of the new flows, the finite-volume effective central charge is a nonmonotonic function of the system size. The evolution of this effective central charge is studied by means of a nonlinear integral equation, a massless variant of an equation recently found to describe certain massive perturbations of these same models. We also observe that a similar nonmonotonicity arises in the more familiar ?13 perturbations, when the flows induced are between nonunitary minimal models.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1016/S0550-3213(00)00185-1 |

Uncontrolled keywords: | Conformal field theory; Integrability; RG flow; Nonlinear integral equations; Thermodynamic Bethe ansatz |

Subjects: |
Q Science Q Science > QA Mathematics (inc Computing science) |

Divisions: |
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |

Depositing User: | Clare Dunning |

Date Deposited: | 18 Nov 2014 16:45 UTC |

Last Modified: | 29 May 2019 13:35 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/44832 (The current URI for this page, for reference purposes) |

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