The University of Southampton
University of Southampton Institutional Repository

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, Konstantinos
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.

Text
MPhil Thesis - Stefanos Tyros - Version of Record
Available under License University of Southampton Thesis Licence.
Download (436kB)

More information

Published date: August 2018

Identifiers

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

Catalogue record

Date deposited: 05 Mar 2019 17:30
Last modified: 14 Mar 2019 01:36

Export record

Contributors

Author: Stefanos Tyros
Thesis advisor: Konstantinos Skenderis ORCID iD

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×