Quantized EinsteinRosen waves, AdS_{2}, and spontaneous symmetry breaking
Abstract
4D cylindrical gravitational waves with aligned polarizations (EinsteinRosen waves) are shown to be described by a weight /1/2 massive free field on the double cover of AdS<INF LOC="pre">2. Thorn's Cenergy is one of the /sl(2,R) generators, the reconstruction from the (timelike) symmetry axis is the CFT<INF LOC="pre">1 holography. Classically the phase space is also invariant under a O/(1,1) group action on the metric coefficients that is a remnant of the original 4D diffeomorphism invariance. In the quantum theory this symmetry is found to be spontaneously broken while the AdS<INF LOC="pre">2 conformal invariance remains intact.
 Publication:

Physics Letters B
 Pub Date:
 January 2001
 DOI:
 10.1016/S03702693(00)013794
 arXiv:
 arXiv:hepth/0007227
 Bibcode:
 2001PhLB..498...83N
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, Latex, 2 Figures. v2: Figure on AdS added, minor changes