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

Francesco Nitti, Massimo Porrati

    Research output: Contribution to journalArticle

    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
    StatePublished - Jan 1 2004

    Fingerprint

    homology
    ghosts
    viability
    algebra
    wave functions
    gravitation
    operators
    symmetry

    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

    Cite this

    Hidden sl(2,ℝ) symmetry in 2d CFTs and the wave function of 3d quantum gravity. / Nitti, Francesco; Porrati, Massimo.

    In: Journal of High Energy Physics, Vol. 8, No. 1, 01.01.2004, p. 745-775.

    Research output: Contribution to journalArticle

    Nitti, Francesco ; Porrati, Massimo. / Hidden sl(2,ℝ) symmetry in 2d CFTs and the wave function of 3d quantum gravity. In: Journal of High Energy Physics. 2004 ; Vol. 8, No. 1. pp. 745-775.
    @article{150a11476b6b489f933b5d647a547feb,
    title = "Hidden sl(2,ℝ) symmetry in 2d CFTs and the wave function of 3d quantum gravity",
    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.",
    keywords = "AdS-CFT and dS-CFT Correspondence, Conformal Field Models in String Theory, Models of Quantum Gravity",
    author = "Francesco Nitti and Massimo Porrati",
    year = "2004",
    month = "1",
    day = "1",
    language = "English (US)",
    volume = "8",
    pages = "745--775",
    journal = "Journal of High Energy Physics",
    issn = "1126-6708",
    publisher = "Springer Verlag",
    number = "1",

    }

    TY - JOUR

    T1 - Hidden sl(2,ℝ) symmetry in 2d CFTs and the wave function of 3d quantum gravity

    AU - Nitti, Francesco

    AU - Porrati, Massimo

    PY - 2004/1/1

    Y1 - 2004/1/1

    N2 - 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.

    AB - 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.

    KW - AdS-CFT and dS-CFT Correspondence

    KW - Conformal Field Models in String Theory

    KW - Models of Quantum Gravity

    UR - http://www.scopus.com/inward/record.url?scp=23144436248&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=23144436248&partnerID=8YFLogxK

    M3 - Article

    VL - 8

    SP - 745

    EP - 775

    JO - Journal of High Energy Physics

    JF - Journal of High Energy Physics

    SN - 1126-6708

    IS - 1

    ER -