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

1992/11/28 by J. H. Yoon, Yoon, J. H.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9211129

15 pages, SNUTP 92-98

arxiv created 1992/11/28 · openalex publication_date 1992/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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-gravity appear naturally as special cases of this description, and discuss the geometry of w-gravity in term of the fibre bundle.

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