SO(2,d-1) Gauge Theory of Gravity in d Dimensional Spacetime and $AdS_d/CFT_{d-1}$ Correspondence

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dc.creatorFukuyama, Takeshi
dc.date2009-02-17
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:08:45Z
dc.date.available2026-07-07T13:08:45Z
dc.descriptionGravity 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.
dc.description11pages, no figure Typos are corrected. Some comments and references are added
dc.identifierhttps://arxiv.org/abs/0902.2820
dc.identifierhttp://arxiv.org/abs/0902.2820
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228521
dc.subjectHigh Energy Physics - Theory
dc.titleSO(2,d-1) Gauge Theory of Gravity in d Dimensional Spacetime and $AdS_d/CFT_{d-1}$ Correspondence
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