{"id":{"repo_id":"durham","oai_identifier":"oai:etheses.durham.ac.uk:836"},"canonical_url":"https://search.dev.ndltd.org/etd/durham/oai:etheses.durham.ac.uk:836","repository":{"repo_id":"durham","name":"Durham University","base_url":"http://etheses.dur.ac.uk/cgi/oai2"},"display":{"title":"Giant Magnons and Giant Gravitons","abstract":"In this thesis we shall present work concerning the description of the emergence of solitonic fundamental strings from stable, finite energy, compact D3-branes in a subspace of $AdS_{5}\\times S^{5}$ and their subsequent interaction. We work in the planar limit and focus on states of large angular momentum $J$ corresponding to large R-charge in the dual gauge theory. We begin by constructing the full set of boundary giant magnons on $\\mathbb{R}\\times S^{2}$ attached to the maximal $Z=0$ giant graviton by mapping from the general solution to static sine-Gordon theory on the interval. We then compute the values of the anomalous dimension, $\\Delta-J$, of the dual gauge theory operators at finite $J$, examining the behaviour of the leading order corrections when $J$ is large. We then consider the Born-Infeld theory of the giant graviton itself coupled to the background 5-form flux. Constructing BIon spike solutions that correspond to the world volume description of the boundary giant magnons we find a limit amenable to analysis which returns the full range of behaviour exhibited at finite $J$. Finally we produce the open strings on $\\mathbb{R}\\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory. Relating the boundary parameters in a way that ensures a given set of string boundary conditions we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase. Our method necessarily describes all integrable scatterings of giant magnons with giant gravitons.","abstract_html":"In this thesis we shall present work concerning the description of the emergence of solitonic fundamental strings from stable, finite energy, compact D3-branes in a subspace of <span class=\"etd-inline-math\">AdS<sub>5</sub>\\times S<sup>5</sup></span> and their subsequent interaction. We work in the planar limit and focus on states of large angular momentum $J$ corresponding to large R-charge in the dual gauge theory. We begin by constructing the full set of boundary giant magnons on <span class=\"etd-inline-math\">\\mathbb{R}\\times S<sup>2</sup></span> attached to the maximal $Z=0$ giant graviton by mapping from the general solution to static sine-Gordon theory on the interval. We then compute the values of the anomalous dimension, $\\Delta-J$, of the dual gauge theory operators at finite $J$, examining the behaviour of the leading order corrections when $J$ is large. We then consider the Born-Infeld theory of the giant graviton itself coupled to the background 5-form flux. Constructing BIon spike solutions that correspond to the world volume description of the boundary giant magnons we find a limit amenable to analysis which returns the full range of behaviour exhibited at finite $J$. Finally we produce the open strings on <span class=\"etd-inline-math\">\\mathbb{R}\\times S<sup>2</sup></span> that correspond to the solutions of integrable boundary sine-Gordon theory. Relating the boundary parameters in a way that ensures a given set of string boundary conditions we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase. Our method necessarily describes all integrable scatterings of giant magnons with giant gravitons.","abstract_has_math":true,"creators":["Ciavarella, Andrew Michael"],"institution":"Durham University","degree_name":"PhD","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011","date_published":"2011","updated_at":"2026-07-24T02:11:17Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ciavarella, Andrew Michael"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011"]},{"key":"dc:date.issued","label":"Date","values":["2011"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Mathematical Sciences, Department of"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["Durham University"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://etheses.durham.ac.uk/id/eprint/836/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://etheses.durham.ac.uk/id/eprint/836/1/Thesis_Andrew-Ciavarella.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis we shall present work concerning the description of the emergence of solitonic fundamental strings from stable, finite energy, compact D3-branes in a subspace of $AdS_{5}\\times S^{5}$ and their subsequent interaction. We work in the planar limit and focus on states of large angular momentum $J$ corresponding to large R-charge in the dual gauge theory. We begin by constructing the full set of boundary giant magnons on $\\mathbb{R}\\times S^{2}$ attached to the maximal $Z=0$ giant graviton by mapping from the general solution to static sine-Gordon theory on the interval. We then compute the values of the anomalous dimension, $\\Delta-J$, of the dual gauge theory operators at finite $J$, examining the behaviour of the leading order corrections when $J$ is large. We then consider the Born-Infeld theory of the giant graviton itself coupled to the background 5-form flux. Constructing BIon spike solutions that correspond to the world volume description of the boundary giant magnons we find a limit amenable to analysis which returns the full range of behaviour exhibited at finite $J$. Finally we produce the open strings on $\\mathbb{R}\\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory. Relating the boundary parameters in a way that ensures a given set of string boundary conditions we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase. Our method necessarily describes all integrable scatterings of giant magnons with giant gravitons."]},{"key":"dc:format","label":"Dc Format","values":["text"]},{"key":"dc:title","label":"Title","values":["Giant Magnons and Giant Gravitons"]}]}],"canonical_facts":{"dc:creator":["Ciavarella, Andrew Michael"],"dc:date":["2011"],"dc:date.issued":["2011"],"dc:description.abstract":["In this thesis we shall present work concerning the description of the emergence of solitonic fundamental strings from stable, finite energy, compact D3-branes in a subspace of $AdS_{5}\\times S^{5}$ and their subsequent interaction. We work in the planar limit and focus on states of large angular momentum $J$ corresponding to large R-charge in the dual gauge theory. We begin by constructing the full set of boundary giant magnons on $\\mathbb{R}\\times S^{2}$ attached to the maximal $Z=0$ giant graviton by mapping from the general solution to static sine-Gordon theory on the interval. We then compute the values of the anomalous dimension, $\\Delta-J$, of the dual gauge theory operators at finite $J$, examining the behaviour of the leading order corrections when $J$ is large. We then consider the Born-Infeld theory of the giant graviton itself coupled to the background 5-form flux. Constructing BIon spike solutions that correspond to the world volume description of the boundary giant magnons we find a limit amenable to analysis which returns the full range of behaviour exhibited at finite $J$. Finally we produce the open strings on $\\mathbb{R}\\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory. Relating the boundary parameters in a way that ensures a given set of string boundary conditions we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase. Our method necessarily describes all integrable scatterings of giant magnons with giant gravitons."],"dc:format":["text"],"dc:identifier.uri":["https://etheses.durham.ac.uk/id/eprint/836/1/Thesis_Andrew-Ciavarella.pdf"],"dc:publisher.department":["Mathematical Sciences, Department of"],"dc:publisher.institution":["Durham University"],"dc:relation.isreferencedby":["https://etheses.durham.ac.uk/id/eprint/836/"],"dc:title":["Giant Magnons and Giant Gravitons"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["PhD"]},"updated_at":"2026-07-24T02:11:17Z"}