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Generalised conformal structure and its implications

Generalised conformal structure and its implications
Generalised conformal structure and its implications
We study the generalised conformal structure of the low-energy dynamics of D-branes in all dimensions and its implications on correlation functions. We begin by considering conformal symmetry and the way it acts on fields. Symmetries and the way they constrain correlation functions are discussed through the derivation of Ward identities. These are used in order to put constraints on CFT n-point functions. The low-energy dynamics of D-branes are discussed and an extensive proof of their generalised conformal symmetry is given. Next, we investigate the analogy of Ward identities for the generalised conformal structure and derive similar equations with an additional term which compensates for the transformation of the coupling constant. Such an equation is used to prove the constraints of generalised dilatations and later in order to study a specific example of this structure - the free massive boson. The thesis ends with a discussion on the implications of this study and possible future steps.
University of Southampton
Tyros, Stefanos
33510d88-a777-4e71-abc9-903dfd6d90e6
Tyros, Stefanos
33510d88-a777-4e71-abc9-903dfd6d90e6
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09

Tyros, Stefanos (2018) Generalised conformal structure and its implications. University of Southampton, Doctoral Thesis, 60pp.

Record type: Thesis (Doctoral)

Abstract

We study the generalised conformal structure of the low-energy dynamics of D-branes in all dimensions and its implications on correlation functions. We begin by considering conformal symmetry and the way it acts on fields. Symmetries and the way they constrain correlation functions are discussed through the derivation of Ward identities. These are used in order to put constraints on CFT n-point functions. The low-energy dynamics of D-branes are discussed and an extensive proof of their generalised conformal symmetry is given. Next, we investigate the analogy of Ward identities for the generalised conformal structure and derive similar equations with an additional term which compensates for the transformation of the coupling constant. Such an equation is used to prove the constraints of generalised dilatations and later in order to study a specific example of this structure - the free massive boson. The thesis ends with a discussion on the implications of this study and possible future steps.

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MPhil Thesis - Stefanos Tyros - Version of Record
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More information

Published date: August 2018

Identifiers

Local EPrints ID: 428643
URI: http://eprints.soton.ac.uk/id/eprint/428643
PURE UUID: b7031f82-467f-4449-8e5a-32e4b6d42f82
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

Catalogue record

Date deposited: 05 Mar 2019 17:30
Last modified: 16 Mar 2024 04:09

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Contributors

Author: Stefanos Tyros
Thesis advisor: Kostas Skenderis ORCID iD

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