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Emerging geometry from maximally sup...

Vazquez, Samuel Enrique.

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Emerging geometry from maximally super-symmetric Yang-Mills theory.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Emerging geometry from maximally super-symmetric Yang-Mills theory./
作者:	Vazquez, Samuel Enrique.
面頁冊數:	273 p.
附註:	Adviser: David E. Berenstein.
Contained By:	Dissertation Abstracts International68-07B.
標題:	Physics, Theory. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3274421
ISBN:	9780549152637

Emerging geometry from maximally super-symmetric Yang-Mills theory.
Vazquez, Samuel Enrique.

Emerging geometry from maximally super-symmetric Yang-Mills theory. - 273 p.

Adviser: David E. Berenstein.

Thesis (Ph.D.)--University of California, Santa Barbara, 2007.

Finally, we explore the question of classical integrability of open strings on D-branes. In particular, we study the case of the giant gravitons, and compare the integrable structures on both sides of the AdS/CFT correspondence.

ISBN: 9780549152637Subjects--Topical Terms:

1019422
Physics, Theory.

Emerging geometry from maximally super-symmetric Yang-Mills theory.
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020 $a 9780549152637
035 $a (UMI)AAI3274421
035 $a AAI3274421
040 $a UMI $c UMI
100 1 $a Vazquez, Samuel Enrique. $3 1279048
245 1 0 $a Emerging geometry from maximally super-symmetric Yang-Mills theory.
300 $a 273 p.
500 $a Adviser: David E. Berenstein.
500 $a Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4571.
502 $a Thesis (Ph.D.)--University of California, Santa Barbara, 2007.
520 $a Finally, we explore the question of classical integrability of open strings on D-branes. In particular, we study the case of the giant gravitons, and compare the integrable structures on both sides of the AdS/CFT correspondence.
520 $a In this thesis, we explore the emergence of space-time geometry, and string theory physics from N = 4 supersymmetric Yang-Mills (SYM) theory with gauge group U(N). This is done in the context of the anti-de-Sitter/conformal field theory correspondence (AdS/CFT). The main results of this thesis are the following. First, we study single trace perturbations around generic 1/2 BPS states of the theory. We do this in the large N limit, and at one-loop in the 't-Hooft coupling. We show how these states can be mapped to dynamical lattices with boson statistics and periodic boundary conditions. By dynamical, we mean that the total boson occupation number is not conserved in general. Then, we show how to derive an effective sigma model for these systems which coincides with the Polyakov action of a probe string on a 1/2 BPS geometry (in the fast string limit).
520 $a Secondly, we study non-supersymmetric perturbations of the vacuum which give rise to bosonic lattices with open boundary conditions. We also do this in the large N limit, and at one-loop in the 't-Hooft coupling. We show that these states are dual to open strings on D3-branes known as "Giant Gravitons". These lattice systems are also dynamical, but in some special cases, we show that we get an integrable spin chain with open boundary conditions.
520 $a Next, we study single trace perturbations at strong coupling. We do this by taking a "dilute gas" approximation. We derive an all-loop result for the dispersion relation of the "magnons" which coincides with previous conjectures in the literature. What is more, we derive the geometrical picture of the so-called "giant magnon" string solution of Hofman and Maldacena, directly from the field theory.
590 $a School code: 0035.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a University of California, Santa Barbara. $b Physics. $3 1020469
773 0 $t Dissertation Abstracts International $g 68-07B.
790 $a 0035
790 1 0 $a Berenstein, David E., $e advisor
790 1 0 $a Incandela, Joseph $e committee member
790 1 0 $a Polchinski, Joseph $e committee member
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3274421