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Holographic Mellin Amplitudes.

Zhou, Xinan.

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Holographic Mellin Amplitudes.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Holographic Mellin Amplitudes./
Author:	Zhou, Xinan.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:	147 p.
Notes:	Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
Contained By:	Dissertation Abstracts International80-03B(E).
Subject:	Theoretical physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10824107
ISBN:	9780438591486

Holographic Mellin Amplitudes.
Zhou, Xinan.

Holographic Mellin Amplitudes. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 147 p.

Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.

Thesis (Ph.D.)--State University of New York at Stony Brook, 2018.

This dissertation focuses on developing efficient modern methods to compute holographic four-point correlators in superconformal field theories in various spacetime dimensions.

ISBN: 9780438591486Subjects--Topical Terms:

2144760
Theoretical physics.

Holographic Mellin Amplitudes.
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100 1 $a Zhou, Xinan. $3 1250459
245 1 0 $a Holographic Mellin Amplitudes.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2018
300 $a 147 p.
500 $a Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
500 $a Adviser: Leonardo Rastelli.
502 $a Thesis (Ph.D.)--State University of New York at Stony Brook, 2018.
520 $a This dissertation focuses on developing efficient modern methods to compute holographic four-point correlators in superconformal field theories in various spacetime dimensions.
520 $a Three approaches are presented in this dissertation, which are inspired by the bootstrap philosophy and the on-shell methods of scattering amplitudes in flat space. I first review the inherent difficulties of the traditional method, and suggest an improved algorithm that drastically simplifies the calculation. I further show that by translating the problem into Mellin space many difficulties encountered in position space are avoided. Holographic correlators become Mellin amplitudes in Mellin space, which are the natural analogue of the flat space S-matrix. I argue that imposing constraints from superconformal symmetry and general consistency conditions is enough to fix the Mellin amplitude, avoiding all details of the complicated effective Lagrangian. I develop two complementary Mellin space techniques, and obtain many novel results for holographic four-point functions in AdS5 x S5, AdS 7 x S4 and AdS4 x S7.
590 $a School code: 0771.
650 4 $a Theoretical physics. $3 2144760
690 $a 0753
710 2 $a State University of New York at Stony Brook. $b Physics. $3 1678240
773 0 $t Dissertation Abstracts International $g 80-03B(E).
790 $a 0771
791 $a Ph.D.
792 $a 2018
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10824107