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arXiv · hep-th/9211129

Algebraically Special Class of Space-Times and (1+1)-Dimensional Field Theories

J. H. Yoon
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Abstract

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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J. H. Yoon. 1992-11-28. Algebraically Special Class of Space-Times and (1+1)-Dimensional Field Theories. https://arxiv.org/abs/hep-th/9211129

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