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.
- 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