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AdS/CFT correspondence beyond its supergravity approximation

机译:AdS / CFT对应关系超出其超重力近似

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摘要

We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual to a boundary CFT). We will go beyond the supergravity approximation in the AdS by using the fact that strings have an extended structure. We will also calculate the CFT dual to such string corrections in the bulk, and demonstrate that they are consistent with the strong form of the AdS/CFT correspondence. So, even though the conformal dimensions of both the relevant and the irrelevant operators will receive string corrections, the conformal dimension of marginal operators will not receive any such corrections.
机译:我们将研究AdS / CFT对应关系的中间形式,即该对应关系的强形式(AdS的弦论对边界CFT的对偶)和该对应关系的弱形式(AdS的超重力对边界CFT的对偶) 。通过使用字符串具有扩展结构的事实,我们将超越AdS中的超重力近似。我们还将批量计算CFT对这样的字符串校正的对偶,并证明它们与AdS / CFT对应关系的强形式一致。因此,即使相关运算符和不相关运算符的共形维都将接受字符串更正,边际运算符的共形维将不接受任何此类更正。

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