Bosonic Ghosts at c = 2 as a Logarithmic CFT

David Ridout*, Simon Wood

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    34 Citations (Scopus)

    Abstract

    Motivated by Wakimoto free field realisations, the bosonic ghost system of central charge c = 2 is studied using a recently proposed formalism for logarithmic conformal field theories. This formalism addresses the modular properties of the theory with the aim being to determine the (Grothendieck) fusion coefficients from a variant of the Verlinde formula. The key insight, in the case of bosonic ghosts, is to introduce a family of parabolic Verma modules which dominate the spectrum of the theory. The results include S-transformation formulae for characters, non-negative integer Verlinde coefficients, and a family of modular invariant partition functions. The logarithmic nature of the corresponding ghost theories is explicitly verified using the Nahm–Gaberdiel–Kausch fusion algorithm.

    Original languageEnglish
    Pages (from-to)279-307
    Number of pages29
    JournalLetters in Mathematical Physics
    Volume105
    Issue number2
    DOIs
    Publication statusPublished - Feb 2014

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