SO ( 2 , d − 1 ) Gauge Theory of Gravity in d Dimensional Spacetime and AdS d / CFT d −
نویسنده
چکیده
Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index P2n plays a crucial role in both gravity and gauge theories. P2n(gravity) gives the gravitational Lagrangian in 2n dimensions, having the vacuum solution AdS2n. The same but global symmetry is shared with the gauge theories and 0,1-cochains of the Chern-Simon index C2n(gauge) take part of CFT2n−1 and CFT2n−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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SO ( 2 , d - 1 ) Gauge Theory of Gravity in d Dimensional Spacetime and AdS d / CFT d − 1 Correspondence
Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index P2n plays a crucial role in both gravity and gauge theories. P2n(gravity) gives the gravitational Lagrangian in 2n dimensions, having the vacuum solution AdS2n. The same but global symmetry is shared with the gauge theories and 0,1-cochains of the Chern-Simon index C2n(gauge) tak...
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