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Duality and Integrability in String Theory / GIACOMO PICCININI

Swansea University Author: GIACOMO PICCININI

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DOI (Published version): 10.23889/SUthesis.60546

Abstract

This thesis investigates aspects of duality and integrable deformations in String Theory. In the first two chapters we review standard material in Mathematics and Physics, laying the ground to the novel contributions later reported. In Chapter 4 we introduce gener alised cosets, on which we are able...

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Published: Swansea 2022
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Thompson, Daniel C. ; Nunez, Carlos
URI: https://cronfa.swan.ac.uk/Record/cronfa60546
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first_indexed 2022-07-20T09:08:33Z
last_indexed 2023-01-13T19:20:45Z
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spelling 2022-07-20T10:34:01.4625823 v2 60546 2022-07-20 Duality and Integrability in String Theory f90668700a4d587aa6ff9484c9ba6e77 GIACOMO PICCININI GIACOMO PICCININI true false 2022-07-20 This thesis investigates aspects of duality and integrable deformations in String Theory. In the first two chapters we review standard material in Mathematics and Physics, laying the ground to the novel contributions later reported. In Chapter 4 we introduce gener alised cosets, on which we are able to provide a canonical construction for a generalised frame field and spin connection that together furnish an algebra under the generalised Lie derivative. In Chapter 5 we study the geometric properties of the Yang-Baxter defor mation of CPn, showing that it constitutes an exemplar of Generalised Kähler Geometry. For CP2 we compute the generalised Kähler potential. Tangentially, we furnish a closed form for the metric and B-field of the Yang-Baxter deformed sphere Sn, for every n. In Chapter 7 we address the problem of two-loop renormalisation of the Tseytlin dou bled string for cosmological spacetimes. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with O(n, n) symmetry, pointing perhaps to the presence of scheme changes. In Chapter 8 we build on this work and set the stage for a two-loop calculation for a Poisson-Lie T-duality covariant theory. E-Thesis Swansea Integrability, Generalised Geometry, String Theory 15 7 2022 2022-07-15 10.23889/SUthesis.60546 ORCiD identifier: https://orcid.org/0000-0003-2807-0871 COLLEGE NANME COLLEGE CODE Swansea University Thompson, Daniel C. ; Nunez, Carlos Doctoral Ph.D Royal Society, Grant number: Royal Society Enhancement Award RGF/EA/180176 2022-07-20T10:34:01.4625823 2022-07-20T09:58:25.6293557 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics GIACOMO PICCININI 1 60546__24658__f43d75d57de44775958cec69af173c5d.pdf Piccinini_Giacomo_PhD_Thesis_Final_Redacted_Signature.pdf 2022-07-20T10:32:43.2947784 Output 1717302 application/pdf E-Thesis – open access true Copyright: The author, Giacomo Piccinini, 2022. true eng
title Duality and Integrability in String Theory
spellingShingle Duality and Integrability in String Theory
GIACOMO PICCININI
title_short Duality and Integrability in String Theory
title_full Duality and Integrability in String Theory
title_fullStr Duality and Integrability in String Theory
title_full_unstemmed Duality and Integrability in String Theory
title_sort Duality and Integrability in String Theory
author_id_str_mv f90668700a4d587aa6ff9484c9ba6e77
author_id_fullname_str_mv f90668700a4d587aa6ff9484c9ba6e77_***_GIACOMO PICCININI
author GIACOMO PICCININI
author2 GIACOMO PICCININI
format E-Thesis
publishDate 2022
institution Swansea University
doi_str_mv 10.23889/SUthesis.60546
college_str Faculty of Science and Engineering
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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
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description This thesis investigates aspects of duality and integrable deformations in String Theory. In the first two chapters we review standard material in Mathematics and Physics, laying the ground to the novel contributions later reported. In Chapter 4 we introduce gener alised cosets, on which we are able to provide a canonical construction for a generalised frame field and spin connection that together furnish an algebra under the generalised Lie derivative. In Chapter 5 we study the geometric properties of the Yang-Baxter defor mation of CPn, showing that it constitutes an exemplar of Generalised Kähler Geometry. For CP2 we compute the generalised Kähler potential. Tangentially, we furnish a closed form for the metric and B-field of the Yang-Baxter deformed sphere Sn, for every n. In Chapter 7 we address the problem of two-loop renormalisation of the Tseytlin dou bled string for cosmological spacetimes. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with O(n, n) symmetry, pointing perhaps to the presence of scheme changes. In Chapter 8 we build on this work and set the stage for a two-loop calculation for a Poisson-Lie T-duality covariant theory.
published_date 2022-07-15T04:18:44Z
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score 11.013619

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