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Aspects of k-strings and k-domain walls in the AdS/CFT correspondence. / Jefferson Miles Ridgway

Swansea University Author: Jefferson Miles Ridgway

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The concepts and behaviours of k-strings and domain-walls are examined in higher representations through the scope of the Gauge-Gravity correspondence. Tensions of strings in a representation of N-ality k are examined in the strong coupling limit. Confining k-strings are discussed in four dimensiona...

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Published: 2009
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42582
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spelling 2018-08-02T16:24:29.7433976 v2 42582 2018-08-02 Aspects of k-strings and k-domain walls in the AdS/CFT correspondence. 8b5a0a55537e366eaba8b2a26bbe7150 NULL Jefferson Miles Ridgway Jefferson Miles Ridgway true true 2018-08-02 The concepts and behaviours of k-strings and domain-walls are examined in higher representations through the scope of the Gauge-Gravity correspondence. Tensions of strings in a representation of N-ality k are examined in the strong coupling limit. Confining k-strings are discussed in four dimensional gauge theories using D5 branes in AdS5 x S5 and D3 branes in Klebanov-Strassler and Maldacena-Nunez backgrounds. Two main results are presented: The first that confining k-string tensions in N = 4 super Yang-Mills can be calculated using D5 branes in AdS5 x S5 with a cut-off in the bulk AdS. It is shown that the D5 brane can replicate a string of rank k in the antisymmetric representation. The second result shows that the S-Dual calculation to string tensions in N = 1 super Yang-Mills gravity duals reproduces the action exactly, while providing a more natural manifestation of the string charge k. Quantum broadening effects of k-string objects are investigated in both confining and non-confining theories. An old result by Luscher, Munster and Weisz is generalised to the case of a k-string. When the fundamental string is replaced by a bound state of k strings, the bound state is better described by a wrapped D-brane. The width of the k-string (the wrapped D-brane) is calculated in several confining backgrounds by using a D-brane probe and a universal result is found. The widths of k -strings in AdS5 x S5 are examined via connected world-sheet methods, and via the exchange of light supergravity modes, and are shown to disobey the confining string result. The tension of the deconfining domain walls of N = 4 Super Yang-Mills are studied at weak and strong coupling. The k-wall tension at one loop order is calculated and found to be proportional to k(N - k), the Casimir scaling. The strong coupling calculation is performed by using the Gauge-Gravity correspondence. Arguments are made that the k-wall should be identified with a 5-brane wrapping an S4 inside S5 in an AdS-Schwarzschild x S5 background. The tension at strong coupling is compared with the weak coupling result. Preliminary results for tension scaling behaviours for thermal gauge theories in two-index representations are presented and briefly discussed. E-Thesis Theoretical physics. 31 12 2009 2009-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.7433976 2018-08-02T16:24:29.7433976 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Jefferson Miles Ridgway NULL 1 0042582-02082018162505.pdf 10805340.pdf 2018-08-02T16:25:05.8270000 Output 4405273 application/pdf E-Thesis true 2018-08-02T16:25:05.8270000 false
title Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
spellingShingle Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
Jefferson Miles Ridgway
title_short Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
title_full Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
title_fullStr Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
title_full_unstemmed Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
title_sort Aspects of k-strings and k-domain walls in the AdS/CFT correspondence.
author_id_str_mv 8b5a0a55537e366eaba8b2a26bbe7150
author_id_fullname_str_mv 8b5a0a55537e366eaba8b2a26bbe7150_***_Jefferson Miles Ridgway
author Jefferson Miles Ridgway
author2 Jefferson Miles Ridgway
format E-Thesis
publishDate 2009
institution Swansea University
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 The concepts and behaviours of k-strings and domain-walls are examined in higher representations through the scope of the Gauge-Gravity correspondence. Tensions of strings in a representation of N-ality k are examined in the strong coupling limit. Confining k-strings are discussed in four dimensional gauge theories using D5 branes in AdS5 x S5 and D3 branes in Klebanov-Strassler and Maldacena-Nunez backgrounds. Two main results are presented: The first that confining k-string tensions in N = 4 super Yang-Mills can be calculated using D5 branes in AdS5 x S5 with a cut-off in the bulk AdS. It is shown that the D5 brane can replicate a string of rank k in the antisymmetric representation. The second result shows that the S-Dual calculation to string tensions in N = 1 super Yang-Mills gravity duals reproduces the action exactly, while providing a more natural manifestation of the string charge k. Quantum broadening effects of k-string objects are investigated in both confining and non-confining theories. An old result by Luscher, Munster and Weisz is generalised to the case of a k-string. When the fundamental string is replaced by a bound state of k strings, the bound state is better described by a wrapped D-brane. The width of the k-string (the wrapped D-brane) is calculated in several confining backgrounds by using a D-brane probe and a universal result is found. The widths of k -strings in AdS5 x S5 are examined via connected world-sheet methods, and via the exchange of light supergravity modes, and are shown to disobey the confining string result. The tension of the deconfining domain walls of N = 4 Super Yang-Mills are studied at weak and strong coupling. The k-wall tension at one loop order is calculated and found to be proportional to k(N - k), the Casimir scaling. The strong coupling calculation is performed by using the Gauge-Gravity correspondence. Arguments are made that the k-wall should be identified with a 5-brane wrapping an S4 inside S5 in an AdS-Schwarzschild x S5 background. The tension at strong coupling is compared with the weak coupling result. Preliminary results for tension scaling behaviours for thermal gauge theories in two-index representations are presented and briefly discussed.
published_date 2009-12-31T03:53:15Z
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score 11.036706

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