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Holographic Mellin Amplitudes.

Zhou, Xinan.

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Holographic Mellin Amplitudes.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Holographic Mellin Amplitudes./
作者:	Zhou, Xinan.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
面頁冊數:	147 p.
附註:	Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
Contained By:	Dissertation Abstracts International80-03B(E).
標題:	Theoretical physics. -
電子資源:	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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500 $a Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
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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.
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