{"id":{"repo_id":"kings","oai_identifier":"oai:kclpure.kcl.ac.uk:studenttheses/43808e1c-ee20-4e45-b9db-2694c8a92c11"},"canonical_url":"https://search.dev.ndltd.org/etd/kings/oai:kclpure.kcl.ac.uk:studenttheses/43808e1c-ee20-4e45-b9db-2694c8a92c11","repository":{"repo_id":"kings","name":"King's College London","base_url":"https://kclpure.kcl.ac.uk/ws/oai"},"display":{"title":"Supersymmetric backgrounds of M-theory and AdS4/CFT3 correspondence","abstract":"We analyse the most general N = 2 supersymmetric solutions of d = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a sevendimensional Riemannian manifold Y7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes.<br/>We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ordinary differential equation. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4×S7 solution with non-trivial four-form flux. Furthermore, we study supersymmetric asymptotically locally AdS4 solutions of N = 2 gauged supergravity which via the AdS4/CFT3 correspondence are dual to supersymmetric gauge theories on deformed 3-spheres with SU(2)×U(1) symmetry and a non-trivial background gauge field. These solutions lift to solutions of M-theory and we show that the gravitational free energy<br/>agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N = 2 Chern-Simons-matter theories. In this context, we present a complete class of supersymmetric backgrounds of N = 2 gauged supergravity whose conformal boundary is a biaxially squashed Lens space S3/Zp. Generically we find that the latter admits Taub-NUT-AdS fillings, with topology R4/Zp, as well as smooth Taub-Bolt-AdS fillings with non-trivial topology.","abstract_html":"We analyse the most general N = 2 supersymmetric solutions of d = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a sevendimensional Riemannian manifold Y7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes.&lt;br/&gt;We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ordinary differential equation. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4×S7 solution with non-trivial four-form flux. Furthermore, we study supersymmetric asymptotically locally AdS4 solutions of N = 2 gauged supergravity which via the AdS4/CFT3 correspondence are dual to supersymmetric gauge theories on deformed 3-spheres with SU(2)×U(1) symmetry and a non-trivial background gauge field. These solutions lift to solutions of M-theory and we show that the gravitational free energy&lt;br/&gt;agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N = 2 Chern-Simons-matter theories. In this context, we present a complete class of supersymmetric backgrounds of N = 2 gauged supergravity whose conformal boundary is a biaxially squashed Lens space S3/Zp. Generically we find that the latter admits Taub-NUT-AdS fillings, with topology R4/Zp, as well as smooth Taub-Bolt-AdS fillings with non-trivial topology.","abstract_has_math":false,"creators":["Passias, Achilleas"],"institution":"King's College London","degree_name":"Doctor of Philosophy","degree_level":"Doctoral Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Martelli, Dario"],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-1-1","date_published":"2014-1-1","updated_at":"2026-07-24T02:44:42Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oai:kclpure.kcl.ac.uk:studenttheses/43808e1c-ee20-4e45-b9db-2694c8a92c11"],"render_values":[{"text":"oai:kclpure.kcl.ac.uk:studenttheses/43808e1c-ee20-4e45-b9db-2694c8a92c11","href":null,"code":true}]}]},"links":{"outbound_url":"https://kclpure.kcl.ac.uk/portal/en/studentTheses/43808e1c-ee20-4e45-b9db-2694c8a92c11","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Martelli, Dario"]},{"key":"dc:creator","label":"Author","values":["Passias, Achilleas"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-1-1"]},{"key":"dc:date.issued","label":"Date","values":["2014-1-1"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["King's College London"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://kclpure.kcl.ac.uk/portal/en/studentTheses/43808e1c-ee20-4e45-b9db-2694c8a92c11"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral Thesis"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Doctor of Philosophy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["oai:kclpure.kcl.ac.uk:studenttheses/43808e1c-ee20-4e45-b9db-2694c8a92c11","https://kclpure.kcl.ac.uk/portal/en/studentTheses/43808e1c-ee20-4e45-b9db-2694c8a92c11"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://kclpure.kcl.ac.uk/portal/files/13436212/Studentthesis-Achilleas_Passias_2014.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We analyse the most general N = 2 supersymmetric solutions of d = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a sevendimensional Riemannian manifold Y7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes.<br/>We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ordinary differential equation. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4×S7 solution with non-trivial four-form flux. Furthermore, we study supersymmetric asymptotically locally AdS4 solutions of N = 2 gauged supergravity which via the AdS4/CFT3 correspondence are dual to supersymmetric gauge theories on deformed 3-spheres with SU(2)×U(1) symmetry and a non-trivial background gauge field. These solutions lift to solutions of M-theory and we show that the gravitational free energy<br/>agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N = 2 Chern-Simons-matter theories. In this context, we present a complete class of supersymmetric backgrounds of N = 2 gauged supergravity whose conformal boundary is a biaxially squashed Lens space S3/Zp. Generically we find that the latter admits Taub-NUT-AdS fillings, with topology R4/Zp, as well as smooth Taub-Bolt-AdS fillings with non-trivial topology."]},{"key":"dc:title","label":"Title","values":["Supersymmetric backgrounds of M-theory and AdS4/CFT3 correspondence"]}]}],"canonical_facts":{"dc:contributor.advisor":["Martelli, Dario"],"dc:creator":["Passias, Achilleas"],"dc:date":["2014-1-1"],"dc:date.issued":["2014-1-1"],"dc:description.abstract":["We analyse the most general N = 2 supersymmetric solutions of d = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a sevendimensional Riemannian manifold Y7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes.<br/>We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ordinary differential equation. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4×S7 solution with non-trivial four-form flux. Furthermore, we study supersymmetric asymptotically locally AdS4 solutions of N = 2 gauged supergravity which via the AdS4/CFT3 correspondence are dual to supersymmetric gauge theories on deformed 3-spheres with SU(2)×U(1) symmetry and a non-trivial background gauge field. These solutions lift to solutions of M-theory and we show that the gravitational free energy<br/>agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N = 2 Chern-Simons-matter theories. In this context, we present a complete class of supersymmetric backgrounds of N = 2 gauged supergravity whose conformal boundary is a biaxially squashed Lens space S3/Zp. Generically we find that the latter admits Taub-NUT-AdS fillings, with topology R4/Zp, as well as smooth Taub-Bolt-AdS fillings with non-trivial topology."],"dc:identifier":["oai:kclpure.kcl.ac.uk:studenttheses/43808e1c-ee20-4e45-b9db-2694c8a92c11","https://kclpure.kcl.ac.uk/portal/en/studentTheses/43808e1c-ee20-4e45-b9db-2694c8a92c11"],"dc:identifier.uri":["https://kclpure.kcl.ac.uk/portal/files/13436212/Studentthesis-Achilleas_Passias_2014.pdf"],"dc:language":["eng"],"dc:publisher.department":["Mathematics"],"dc:publisher.institution":["King's College London"],"dc:relation.isreferencedby":["https://kclpure.kcl.ac.uk/portal/en/studentTheses/43808e1c-ee20-4e45-b9db-2694c8a92c11"],"dc:title":["Supersymmetric backgrounds of M-theory and AdS4/CFT3 correspondence"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["Doctoral Thesis"],"dc:type.qualificationname":["Doctor of Philosophy"]},"updated_at":"2026-07-24T02:44:42Z"}