PhD defense by Agnese Bissi: Holographic Three-Point Functions – Niels Bohr Institutet - Københavns Universitet

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PhD defense by Agnese Bissi: Holographic Three-Point Functions

PhD defense by Agnese Bissi

Holographic Three-Point Functions

This thesis is concerned with the problem of computing three point correlation functions within the AdS/CFT correspondence. In the last three years new techniques to study holographically three point functions have been put forth and in this thesis we extend these methods in several directions. In the context of the AdS_5 /CFT_4 correspondence we present three computations. First we compare the results of tree level three point functions of two giant gravitons and a point- like graviton obtained using methods of semiclassical string theory with their dual counterparts, namely three point functions of two Schur polynomials and a single trace chiral primary. Secondly we compute the one loop correction to planar, non extremal three point functions of two heavy and one light operators, both from the gauge and the string theory side in the Frolov-Tseytlin limit. Finally we generalize the scalar product, which is the building block in the construction of three point functions of non-BPS operators in the gauge theory side, of two states belonging to the SO(6) sector of N = 4 SYM. On the other hand, in the AdS_4 /CFT_3 correspondence we compare the gauge and string computations of planar, non extremal three point functions of two heavy and one light operators, belonging to the SU(2)xSU(2) sector of ABJM theory in the Frolov-Tseytlin limit. Finally we calculate planar, non extremal, tree level three point function operators belonging to the SU(2)xSU(2) sector of ABJM theory from the gauge theory side, obtaining a determinant representation.