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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Swansea University, Wales, UK
2025
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| 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 |
| 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 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. |
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| Item Description: |
A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information. |
| Keywords: |
Renormalisation group flows, holography, supergravity, conformal field theories, AdS. |
| College: |
Faculty of Science and Engineering |