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arxiv: hep-th/9302026 · v1 · submitted 1993-02-08 · ✦ hep-th · gr-qc

Poincar\'e Gauge Theory for Gravitational Forces in (1+1) Dimensions

Daniel Cangemi , Roman Jackiw This is my paper
classification ✦ hep-th gr-qc
keywords gaugedimensionspoincartheorycentrallyconstructedcouplingscovariant
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We discuss in detail how string-inspired lineal gravity can be formulated as a gauge theory based on the centrally extended Poincar\'e group in $(1+1)$ dimensions. Matter couplings are constructed in a gauge invariant fashion, both for point particles and Fermi fields. A covariant tensor notation is developed in which gauge invariance of the formalism is manifest.

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  1. Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames

    math.QA 2026-04 unverdicted novelty 7.0

    A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spac...