Application of Mellin Space Techniques for Bulk Reconstruction in AdS/CFT

Maity, Suvashis and Roy, Shubho Ranjan (2018) Application of Mellin Space Techniques for Bulk Reconstruction in AdS/CFT. Masters thesis, Indian Institute of Technology, Hyderabad.

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Abstract

We discuss how CFT correlators can be written in terms of Mellin space. Starting from n > 3 correlators become function of cross ratios, which are conformally invariant and the conformal symmetries are not su�cient to determine the form of correlators completely. CFT has an advantage of OPE, where we can expand product of n operators in terms of primary and its descendants. Solving the coe�cients of the series will solve the n-point function. Using conformal block method we can determine OPE coe�cients. Mellin space techniques are more useful than conformal block approach. CFT correlators have nice form in Mellin space. Poles and residues in Mellin amplitude give the information about dimension of factorizing channel and OPE coe�- cients. We try to �nd poles of Mellin amplitude in Mandelstam variables.

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