Holographic Aspects of Chaos and Integrability in String- and M-Theory

GORSEL, JEROEN

doi:10.23889/SUthesis.57278

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Holographic Aspects of Chaos and Integrability in String- and M-Theory / JEROEN GORSEL

Swansea University Author: JEROEN GORSEL

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DOI (Published version): 10.23889/SUthesis.57278

Abstract

In this thesis we investigate classical integrability of the string worldsheet on diﬀerent super-gravity backgrounds. We focus in particular on the class of half-supersymmetric AdS7 solutions of Massive Type IIA supergravity, that are thought to be the near-horizon limit of a D6-D8-NS5 Hanany-Witten...

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Published:	Swansea 2019
Institution:	Swansea University
Degree level:	Doctoral
Degree name:	Ph.D
Supervisor:	Nunez, Carlos
URI:	https://cronfa.swan.ac.uk/Record/cronfa57278
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first_indexed	2021-07-07T10:18:56Z
last_indexed	2021-07-08T03:21:46Z
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spelling	2021-07-07T11:49:27.1385810 v2 57278 2021-07-07 Holographic Aspects of Chaos and Integrability in String- and M-Theory d9d40f6a16c4319b0998222f47a85ea2 JEROEN GORSEL JEROEN GORSEL true false 2021-07-07 In this thesis we investigate classical integrability of the string worldsheet on diﬀerent super-gravity backgrounds. We focus in particular on the class of half-supersymmetric AdS7 solutions of Massive Type IIA supergravity, that are thought to be the near-horizon limit of a D6-D8-NS5 Hanany-Witten brane set-up, and are dual to six-dimensional conformal ﬁeld theories with N = (1, 0) supersymmetry. We use both analytical and numerical methods to show the (bosonic sector of the) string worldsheet is non-integrable on most of these backgrounds. The backgrounds on which the string is integrable are an inﬁnite massless solution (corresponding to an inﬁnite constant quiver), and a background corresponding to an inﬁnite linear quiver theory.In addition we ﬁnd that the (bosonic sector of the) string is integrable on a background that we call AdS7 × (S3)λ. For this background we show that it corresponds to a 6d SCFT with an inﬁnitely long quiver with an inﬁnite number of ﬂavour groups, all proportional to the colour groups. We study this particular supergravity background in detail, and suggest it corresponds to the large-N limit of the dual SCFT in the limit where the Chern-Simons level k goes to inﬁnity.This integrable AdS7 × (S3)λ background can be obtained as the λ-deformation of AdS7×S3. In this context we study integrable deformations of supergravity backgrounds in the last part of this thesis, in particular non-Abelian T-duality. We present another back-ground on which the string is integrable by performing two non-Abelian T-dualities on two three-spheres inside the AdS5×S5 solution and study the resulting background. E-Thesis Swansea holography; integrability; quantum field theory; string theory 19 11 2019 2019-11-19 10.23889/SUthesis.57278 ORCiD identifier https://orcid.org/0000-0003-2383-8706 COLLEGE NANME COLLEGE CODE Swansea University Nunez, Carlos Doctoral Ph.D STFC; DTP grant ST/N504464-1 2021-07-07T11:49:27.1385810 2021-07-07T11:07:28.7822705 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics JEROEN GORSEL 1 57278__20350__5cdebf7f5dc945488b6b5469957f10ed.pdf Van_Gorsel_Jeroen_PhD_Thesis_Final_Redacted_Signature.pdf 2021-07-07T11:43:19.3059220 Output 62999582 application/pdf E-Thesis – open access true Copyright: The author, Jeroen van Gorsel, 2019. true eng
title	Holographic Aspects of Chaos and Integrability in String- and M-Theory
spellingShingle	Holographic Aspects of Chaos and Integrability in String- and M-Theory JEROEN GORSEL
title_short	Holographic Aspects of Chaos and Integrability in String- and M-Theory
title_full	Holographic Aspects of Chaos and Integrability in String- and M-Theory
title_fullStr	Holographic Aspects of Chaos and Integrability in String- and M-Theory
title_full_unstemmed	Holographic Aspects of Chaos and Integrability in String- and M-Theory
title_sort	Holographic Aspects of Chaos and Integrability in String- and M-Theory
author_id_str_mv	d9d40f6a16c4319b0998222f47a85ea2
author_id_fullname_str_mv	d9d40f6a16c4319b0998222f47a85ea2_***_JEROEN GORSEL
author	JEROEN GORSEL
author2	JEROEN GORSEL
format	E-Thesis
publishDate	2019
institution	Swansea University
doi_str_mv	10.23889/SUthesis.57278
college_str	Faculty of Science and Engineering
hierarchytype
hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str	1
active_str	0
description	In this thesis we investigate classical integrability of the string worldsheet on diﬀerent super-gravity backgrounds. We focus in particular on the class of half-supersymmetric AdS7 solutions of Massive Type IIA supergravity, that are thought to be the near-horizon limit of a D6-D8-NS5 Hanany-Witten brane set-up, and are dual to six-dimensional conformal ﬁeld theories with N = (1, 0) supersymmetry. We use both analytical and numerical methods to show the (bosonic sector of the) string worldsheet is non-integrable on most of these backgrounds. The backgrounds on which the string is integrable are an inﬁnite massless solution (corresponding to an inﬁnite constant quiver), and a background corresponding to an inﬁnite linear quiver theory.In addition we ﬁnd that the (bosonic sector of the) string is integrable on a background that we call AdS7 × (S3)λ. For this background we show that it corresponds to a 6d SCFT with an inﬁnitely long quiver with an inﬁnite number of ﬂavour groups, all proportional to the colour groups. We study this particular supergravity background in detail, and suggest it corresponds to the large-N limit of the dual SCFT in the limit where the Chern-Simons level k goes to inﬁnity.This integrable AdS7 × (S3)λ background can be obtained as the λ-deformation of AdS7×S3. In this context we study integrable deformations of supergravity backgrounds in the last part of this thesis, in particular non-Abelian T-duality. We present another back-ground on which the string is integrable by performing two non-Abelian T-dualities on two three-spheres inside the AdS5×S5 solution and study the resulting background.
published_date	2019-11-19T04:12:53Z
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score	11.013371

Holographic Aspects of Chaos and Integrability in String- and M-Theory / JEROEN GORSEL

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