SO(2,d-1) Gauge Theory of Gravity in d Dimensional Spacetime and AdS_d/CFT_d-1 Correspondence

2009/02/17 by Takeshi Fukuyama, Fukuyama, Takeshi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.0902.2820

openalex publication_date 2009/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index \cal P_2n plays a crucial role in both gravity and gauge theories. \cal P_2n(gravity) gives the gravitational Lagrangian in 2n dimensions, having the vacuum solution AdS_2n. The same but global symmetry is shared with the gauge theories and 0,1-cochains of the Chern-Simon index \cal C_2n(gauge) take part of CFT_2n-1 and CFT_2n-2, respectively. Gravity in odd dimensions is quite analogously formulated to that in even dimensions. This gives new insights on AdS/CFT correspondence.

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