When you consider that its discovery in 1997 through Maldacena, AdS/CFT correspondence has turn into one of many leading matters of curiosity in string thought, in addition to one of many major assembly issues among theoretical physics and arithmetic. at the actual aspect, it offers a duality among a concept of quantum gravity and a box thought. The mathematical counterpart is the relation among Einstein metrics and their conformal limitations. The correspondence has been intensively studied, and many growth emerged from the disagreement of viewpoints among arithmetic and physics. Written by means of best specialists and directed at learn mathematicians and theoretical physicists in addition to graduate scholars, this quantity offers an summary of this significant zone either in theoretical physics and in arithmetic. It includes survey articles giving a huge evaluate of the topic and of the most questions, in addition to extra really expert articles supplying new perception either at the Riemannian facet and at the Lorentzian facet of the speculation. A booklet of the eu Mathematical Society. allotted in the Americas via the yank Mathematical Society.
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