Hidden sl(2,ℝ) symmetry in 2d CFTs and the wave function of 3d quantum gravity

Francesco Nitti, Massimo Porrati

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We show that all two-dimensional conformal field theories possess a hidden sl(2,ℝ) affine symmetry. More precisely, we add appropriate ghost fields to an arbitrary CFT, and we use them to construct the currents of sl(2,ℝ). We then define a BRST operator whose cohomology defines a physical subspace where the extended theory coincides with the original CFT. We use the sl(2,ℝ) algebra to construct candidate wave functions for 3-d quantum gravity coupled to matter, and we discuss their viability.

    Original languageEnglish (US)
    Pages (from-to)745-775
    Number of pages31
    JournalJournal of High Energy Physics
    Volume8
    Issue number1
    DOIs
    StatePublished - Jan 1 2004

    Keywords

    • AdS-CFT and dS-CFT Correspondence
    • Conformal Field Models in String Theory
    • Models of Quantum Gravity

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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