Exact finite-size corrections and corner free energies for the c = - 2 universality class

Nickolay Izmailian, Ralph Kenna, Wenan Guo, Xintian Wu

    Research output: Contribution to journalArticle

    7 Citations (Scopus)
    2 Downloads (Pure)

    Abstract

    We consider the partition functions of the anisotropic dimer model on the rectangular (2. M - 1) × (2. N - 1) lattice with (a) free and (b) cylindrical boundary conditions with a single monomer residing on the boundary. We express (a) and (b) in terms of a principal partition function with twisted boundary conditions. Based on these expressions, we derive the exact asymptotic expansions of the free energy for both cases (a) and (b). We confirm the conformal field theory prediction for the corner free energy of these models, and find the central charge is c = - 2. We also show that the dimer model on the cylinder with an odd number of sites on the perimeter exhibits the same finite-size corrections as on the plane.

    Original languageEnglish
    Pages (from-to)157-171
    Number of pages15
    JournalNuclear Physics B
    Volume884
    Issue number1
    Early online date30 Apr 2014
    DOIs
    Publication statusPublished - 1 Jul 2014

    Bibliographical note

    This is an open access article under the CC-BY license

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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