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SYK Model and its Generalization.

Bulycheva, Ksenia.

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SYK Model and its Generalization.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	SYK Model and its Generalization./
作者:	Bulycheva, Ksenia.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
面頁冊數:	207 p.
附註:	Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
Contained By:	Dissertations Abstracts International81-05B.
標題:	Theoretical physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=22588460
ISBN:	9781687933515

SYK Model and its Generalization.
Bulycheva, Ksenia.

SYK Model and its Generalization. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 207 p.

Source: Dissertations Abstracts International, Volume: 81-05, Section: B.

Thesis (Ph.D.)--Princeton University, 2019.

This item must not be sold to any third party vendors.

We briefly review the Sachdev-Ye-Kitaev (SYK) model and study several generalizations of it. First, we consider an SYK model with global U(1) charge and find its four-point function in Euclidean and real time. Then, we proceed to add N=2 supersymmetry. This N=2 SYK model is supposed to be dual to the near-horizon geometry of a stable black hole in four-dimensional supergravity. We study this model in one and two dimensions, find the four-point functions and corresponding chaos exponents. Next, we briefly review tensor models showing SYK-like behavior. We study operators unique to the tensor model (compared to the SYK) and count them using the partition function of large N gauge theory. Finally, we switch to the (approximate) gravity dual of the SYK, the Jackiw-Teitelboim theory of dilaton gravity. We study correlators of heavy operators on the boundary of the latter theory using the holographic prescription. We find some novel properties of these correlators, such as having a finite limit at large Euclidean distances. We are also able to study out-of-time ordered four-point function and find that it approaches an exponentially small limit at late times.

ISBN: 9781687933515Subjects--Topical Terms:

2144760
Theoretical physics.
Subjects--Index Terms:

AdS/CFT correspondence

SYK Model and its Generalization.
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300 $a 207 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
500 $a Advisor: Witten, Edward.
502 $a Thesis (Ph.D.)--Princeton University, 2019.
506 $a This item must not be sold to any third party vendors.
520 $a We briefly review the Sachdev-Ye-Kitaev (SYK) model and study several generalizations of it. First, we consider an SYK model with global U(1) charge and find its four-point function in Euclidean and real time. Then, we proceed to add N=2 supersymmetry. This N=2 SYK model is supposed to be dual to the near-horizon geometry of a stable black hole in four-dimensional supergravity. We study this model in one and two dimensions, find the four-point functions and corresponding chaos exponents. Next, we briefly review tensor models showing SYK-like behavior. We study operators unique to the tensor model (compared to the SYK) and count them using the partition function of large N gauge theory. Finally, we switch to the (approximate) gravity dual of the SYK, the Jackiw-Teitelboim theory of dilaton gravity. We study correlators of heavy operators on the boundary of the latter theory using the holographic prescription. We find some novel properties of these correlators, such as having a finite limit at large Euclidean distances. We are also able to study out-of-time ordered four-point function and find that it approaches an exponentially small limit at late times.
590 $a School code: 0181.
650 4 $a Theoretical physics. $3 2144760
650 4 $a Quantum physics. $3 726746
650 4 $a Condensed matter physics. $3 3173567
653 $a AdS/CFT correspondence
653 $a holography
653 $a supersymmetry
653 $a SYK model
653 $a tensor model
653 $a two-dimensional gravity
690 $a 0753
690 $a 0599
690 $a 0611
710 2 $a Princeton University. $b Physics. $3 2101570
773 0 $t Dissertations Abstracts International $g 81-05B.
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791 $a Ph.D.
792 $a 2019
793 $a English
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