HIDDEN sl(2,R) SYMMETRY IN 2D CFTs AND THE WAVE FUNCTION OF 3D QUANTUM GRAVITY | Zendy

Francesco Saverio Nitti | Zendy; Massimo Porrati | Zendy

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HIDDEN sl(2,R) SYMMETRY IN 2D CFTs AND THE WAVE FUNCTION OF 3D QUANTUM GRAVITY

Author(s) -

Francesco Saverio Nitti,

Massimo Porrati

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/01/028

Subject(s) - brst quantization , physics , cohomology , symmetry (geometry) , conformal field theory , conformal map , subspace topology , mathematical physics , affine transformation , quantum gravity , quantum , pure mathematics , mathematics , quantum mechanics , gauge theory , geometry , mathematical analysis

We show that all two-dimensional conformal field theories possess a hiddensl(2,R) affine symmetry. More precisely, we add appropriate ghost fields to anarbitrary CFT, and we use them to construct the currents of sl(2,R). We thendefine a BRST operator whose cohomology defines a physical subspace where theextended theory coincides with the original CFT. We use the sl(2,R) algebra toconstruct candidate wave functions for 3-d quantum gravity coupled to matter,and we discuss their viability.Comment: Minor misprints corrected.Eight references added. To appear in JHEP.34 pages, LaTe

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