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Perturbative and semiclassical exploration of dualities / WILL ROBERTS

Swansea University Author: WILL ROBERTS

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DOI (Published version): 10.23889/SUthesis.62921

Abstract

In this work we consider Abelian gauge fields defined on a (3 + 1)-dimensional bulk spacetime, which is allowed to interact with a matter CFT living on a plane boundary. This gives a family of boundary conformal field theories parameterized by the gauge coupling τ in the upper-half plane. Combining...

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Published: Swansea 2023
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Kumar, Prem
URI: https://cronfa.swan.ac.uk/Record/cronfa62921
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first_indexed 2023-03-13T08:57:43Z
last_indexed 2023-03-14T04:24:14Z
id cronfa62921
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spelling 2023-03-13T09:09:17.7891283 v2 62921 2023-03-13 Perturbative and semiclassical exploration of dualities 614993ead34dba4a3b158e4917e358e6 WILL ROBERTS WILL ROBERTS true false 2023-03-13 In this work we consider Abelian gauge fields defined on a (3 + 1)-dimensional bulk spacetime, which is allowed to interact with a matter CFT living on a plane boundary. This gives a family of boundary conformal field theories parameterized by the gauge coupling τ in the upper-half plane. Combining this with the recently discovered web of dualities connecting (2 + 1)-dimensional quantum field theories and SL(2, Z) duality in the bulk, one can perform powerful resummations in perturbation theory. We put this to work by considering a free scalar field theory on the boundary, which has a self-duality under τ → − 1 in this setup. Leveraging on this we compute the two-loop anomalous dimension of the mass-squared operator, which is then resummed by imposing the self-duality. Our result can then be extrapolated to τ = 1 which, after a bulk SL(2, Z) transformation, is then related to the 3d Gross-Neveu model by 3d bosonization. In particular this allows us to make a prediction for the anomalous dimension of the mass operator in the 3d Gross-Neveu model. E-Thesis Swansea Quantum field theory, condensed matter, duality, boundary conformal field theory 10 3 2023 2023-03-10 10.23889/SUthesis.62921 COLLEGE NANME COLLEGE CODE Swansea University Kumar, Prem Doctoral Ph.D STFC 2023-03-13T09:09:17.7891283 2023-03-13T08:54:23.4874536 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics WILL ROBERTS 1 62921__26817__c2370a021c1641dbb07ab6e8aec90bd7.pdf Roberts_William_PhD_Thesis_Final_Redacted_Signature.pdf 2023-03-13T09:01:03.9895761 Output 2753048 application/pdf E-Thesis – open access true Copyright: The author, William Roberts, 2023. true eng
title Perturbative and semiclassical exploration of dualities
spellingShingle Perturbative and semiclassical exploration of dualities
WILL ROBERTS
title_short Perturbative and semiclassical exploration of dualities
title_full Perturbative and semiclassical exploration of dualities
title_fullStr Perturbative and semiclassical exploration of dualities
title_full_unstemmed Perturbative and semiclassical exploration of dualities
title_sort Perturbative and semiclassical exploration of dualities
author_id_str_mv 614993ead34dba4a3b158e4917e358e6
author_id_fullname_str_mv 614993ead34dba4a3b158e4917e358e6_***_WILL ROBERTS
author WILL ROBERTS
author2 WILL ROBERTS
format E-Thesis
publishDate 2023
institution Swansea University
doi_str_mv 10.23889/SUthesis.62921
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 work we consider Abelian gauge fields defined on a (3 + 1)-dimensional bulk spacetime, which is allowed to interact with a matter CFT living on a plane boundary. This gives a family of boundary conformal field theories parameterized by the gauge coupling τ in the upper-half plane. Combining this with the recently discovered web of dualities connecting (2 + 1)-dimensional quantum field theories and SL(2, Z) duality in the bulk, one can perform powerful resummations in perturbation theory. We put this to work by considering a free scalar field theory on the boundary, which has a self-duality under τ → − 1 in this setup. Leveraging on this we compute the two-loop anomalous dimension of the mass-squared operator, which is then resummed by imposing the self-duality. Our result can then be extrapolated to τ = 1 which, after a bulk SL(2, Z) transformation, is then related to the 3d Gross-Neveu model by 3d bosonization. In particular this allows us to make a prediction for the anomalous dimension of the mass operator in the 3d Gross-Neveu model.
published_date 2023-03-10T04:23:19Z
_version_ 1763663937286438912
score 11.014067

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