Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-28
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, SNUTP 92-98
Scientific paper
We present the (1+1)-dimensional description of the algebraically special class of space-times of 4-dimensions. It is described by the (1+1)-dimensional Yang-Mills action interacting with matter fields, with diffeomorphisms of 2-surface as the gauge symmetry. Parts of the constraints are identified as the gauge fixing condition. We also show that the representations of $w_{\infty}$-gravity appear naturally as special cases of this description, and discuss the geometry of $w_{\infty}$-gravity in term of the fibre bundle.
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