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Exploring the Gauge/Gravity Correspondence
From Correlation Functions to Black Holes
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This book focuses on the study of different aspects§of the AdS/CFT §correspondence, the celebrated conjecture in string§theory that §relates gauge and gravity theories. It begins with a§detailed review of §the correspondence, with the main body of work being§split into two §chapters. The first chapter concerns the evaluation§of correlation §functions of BPS operators in the AdS/CFT§correspondence, as these §are useful to make indirect tests of the conjecture§and to uncover §dynamical features pertaining to the theories in the§correspondence. §In particular we look at four-point functions in AdS§supergravity §and their gauge theory interpretation. The second§chapter has to do §with the application of duality ideas in black hole§physics, with §emphasis on small black holes. We focus on the§fundamental string §small black hole and give arguments supporting its§study via its CFT §dual. The last chapter of the book summarises the §content and suggests some interesting directions that§could be §pursued in the future.
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