Holographic reformulation of string theory on AdS5×S5 background in the PP-wave limit

Suguru Dobashi, Hidehiko Shimada, Tamiaki Yoneya
2003 Nuclear Physics B  
The recent proposal on the correspondence between the ${\cal N}=4$ super Yang-Mills theory and string theory in the Penrose limit of the AdS$_5\times$S$^5$ geometry involves a few puzzles from the viewpoint of holographic principle, especially in connection with the interpretation of times. To resolve these puzzles, we propose to interpret the PP-wave strings on the basis of tunneling null geodesics connecting boundaries of the AdS geometry. Our approach predicts a direct and systematic
more » ... systematic identification of the S-matrix of Euclidean string theory in the bulk with the short-distance structure of correlation functions of super Yang-Mills theory on the AdS boundary, as an extension of the ordinary relation in supergravity-CFT correspondence. Holography requires an infinite number of contact terms for interaction vertices of string field theory and constrains their forms in a way consistent with supersymmetry.
doi:10.1016/s0550-3213(03)00460-7 fatcat:pu756ejqwzgdpbezyfq3jfvfly