We study duality of field theories in (d+1) dimensional flat Euclidean space and (d+1) dimensional Euclidean AdS space for both scalar the and vector fields. In the case of the scalar theory, the injective map between conformally coupled massless scalars in two spaces is reviewed. It is shown that for vector fields the injective map exists only in four dimensions. Since Euclidean AdS space is equivalent to half flat Euclidean space up to a conformal map, using the injective maps, we interpret AdS/CFT duality as a correspondence between solutions of equation of motion and the corresponding Cauchy data.
E. Biglar, and F. Loran, (2019). Note on AdS/CFT duality. Iranian Journal of Physics Research, 5(4), 179-186.
MLA
E. Biglar, , and F. Loran, . "Note on AdS/CFT duality", Iranian Journal of Physics Research, 5, 4, 2019, 179-186.
HARVARD
E. Biglar , F. Loran (2019). 'Note on AdS/CFT duality', Iranian Journal of Physics Research, 5(4), pp. 179-186.
CHICAGO
E. Biglar and F. Loran, "Note on AdS/CFT duality," Iranian Journal of Physics Research, 5 4 (2019): 179-186,
VANCOUVER
E. Biglar , F. Loran Note on AdS/CFT duality. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2019; 5(4): 179-186.