TY - BOOK

T1 - Holographic Three point Functions

AU - Bissi, Agnese

PY - 2013

Y1 - 2013

N2 - In this thesis it is addressed the problem of the computation of three point correlation functions within the AdS=CFT correspondence. In the context of the AdS 5=CFT4 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 and its dual counterpart, namely 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 string side in the Frolov-Tseytlin regime. Finally we generalize the scalar product of two states belonging to the SO(6) sector of N = 4 SYM with implications on the construction of three point functions of 3 non-BPS operators from the gauge theory side. On the other hand in the AdS4=CFT3 correspondence we compare the computations in the gauge and string theory side of planar, non extremal three point functions of two heavy and one light operators, belonging to the SU(2) SU(2) sector of ABJM in the Frolov-Tseytlin limit. Finally we compute the three point functions of operators belonging to the SU(2)SU(2) sector of ABJM from the gauge theory side, obtaining a determinant representation.

AB - In this thesis it is addressed the problem of the computation of three point correlation functions within the AdS=CFT correspondence. In the context of the AdS 5=CFT4 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 and its dual counterpart, namely 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 string side in the Frolov-Tseytlin regime. Finally we generalize the scalar product of two states belonging to the SO(6) sector of N = 4 SYM with implications on the construction of three point functions of 3 non-BPS operators from the gauge theory side. On the other hand in the AdS4=CFT3 correspondence we compare the computations in the gauge and string theory side of planar, non extremal three point functions of two heavy and one light operators, belonging to the SU(2) SU(2) sector of ABJM in the Frolov-Tseytlin limit. Finally we compute the three point functions of operators belonging to the SU(2)SU(2) sector of ABJM from the gauge theory side, obtaining a determinant representation.

UR - https://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122251093605763

M3 - Ph.D. thesis

BT - Holographic Three point Functions

PB - The Niels Bohr Institute, Faculty of Science, University of Copenhagen

ER -