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E-Thesis 277 views 142 downloads

Renormalisation group flows and holography in lower dimensions / SAM MULLIGAN

Swansea University Author: SAM MULLIGAN

Abstract

In this thesis, we study renormalisation group flows of special strongly coupled field theories in dimensions lower than four using their gravity dual description in four dimensions. Starting from a particular four-dimensional bosonic theory truncated from eleven-dimensional supergravity described by...

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Published: Swansea University, Wales, UK 2025
Institution: Swansea University
Degree level: Master of Research
Degree name: MSc by Research
Supervisor: Piai, M., and Thompson, D.
URI: https://cronfa.swan.ac.uk/Record/cronfa69346
first_indexed 2025-04-24T11:35:07Z
last_indexed 2025-04-25T05:20:58Z
id cronfa69346
recordtype RisThesis
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spelling 2025-04-24T12:35:05.8767944 v2 69346 2025-04-24 Renormalisation group flows and holography in lower dimensions 92f52def5ec41cb55d2cfa33ba165c25 SAM MULLIGAN SAM MULLIGAN true false 2025-04-24 In this thesis, we study renormalisation group flows of special strongly coupled field theories in dimensions lower than four using their gravity dual description in four dimensions. Starting from a particular four-dimensional bosonic theory truncated from eleven-dimensional supergravity described by Gauntlett et al, we perform our own further consistent truncation down to two scalars coupled to gravity. In doing so we are able to identify new classical solutions to maximally supersymmetric supergravity in four dimensions. The solutions we find fall into two broad classes, those for which the dual field theories are conformal at long distances, and those that confine in the same limit. We discuss their global stability properties by studying the holographically renormalised free energy. We find that the confining branch of solutions are stable and energetically favoured compared to conformal solutions in the equivalent portion of the parameter space. E-Thesis Swansea University, Wales, UK Renormalisation group flows, holography, supergravity, conformal field theories, AdS. 10 3 2025 2025-03-10 A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information. COLLEGE NANME COLLEGE CODE Swansea University Piai, M., and Thompson, D. Master of Research MSc by Research 2025-04-24T12:35:05.8767944 2025-04-24T12:20:22.6644215 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics SAM MULLIGAN 1 69346__34093__43d125adda0245a1b28c29c16b7edf9e.pdf 2025_Mulligan_S.final.69346.pdf 2025-04-24T12:33:58.4023288 Output 943738 application/pdf E-Thesis – open access true Copyright: The Author, Sam Mulligan, 2025 true eng
title Renormalisation group flows and holography in lower dimensions
spellingShingle Renormalisation group flows and holography in lower dimensions
SAM MULLIGAN
title_short Renormalisation group flows and holography in lower dimensions
title_full Renormalisation group flows and holography in lower dimensions
title_fullStr Renormalisation group flows and holography in lower dimensions
title_full_unstemmed Renormalisation group flows and holography in lower dimensions
title_sort Renormalisation group flows and holography in lower dimensions
author_id_str_mv 92f52def5ec41cb55d2cfa33ba165c25
author_id_fullname_str_mv 92f52def5ec41cb55d2cfa33ba165c25_***_SAM MULLIGAN
author SAM MULLIGAN
author2 SAM MULLIGAN
format E-Thesis
publishDate 2025
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 In this thesis, we study renormalisation group flows of special strongly coupled field theories in dimensions lower than four using their gravity dual description in four dimensions. Starting from a particular four-dimensional bosonic theory truncated from eleven-dimensional supergravity described by Gauntlett et al, we perform our own further consistent truncation down to two scalars coupled to gravity. In doing so we are able to identify new classical solutions to maximally supersymmetric supergravity in four dimensions. The solutions we find fall into two broad classes, those for which the dual field theories are conformal at long distances, and those that confine in the same limit. We discuss their global stability properties by studying the holographically renormalised free energy. We find that the confining branch of solutions are stable and energetically favoured compared to conformal solutions in the equivalent portion of the parameter space.
published_date 2025-03-10T05:27:56Z
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score 11.089407

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