Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-09
JHEP 0301 (2003) 067
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, LaTeX2e, v2: JHEP3.cls, references and a footnote added
Scientific paper
10.1088/1126-6708/2003/01/067
We study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical choice of boundary conditions that leads to an unambiguous, fully covariant and gauge invariant, off-shell derivation of the boundary action - a G_C/G or G WZW model, coupled in a gauge invariant way to the boundary value of the gauge field. In particular, for (E/A)dS gravity, the boundary action is a WZW model with target space (E/A)dS_3, reminiscent of a worldsheet for worldsheet mechanism. We discuss in some detail the properties of the boundary theories that arise and we confront our results with various related constructions in the literature.
Arcioni Giovanni
Blau Matthias
O'Loughlin Martin
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