The University of Southampton
University of Southampton Institutional Repository

Parisi-Sourlas supergravity

Parisi-Sourlas supergravity
Parisi-Sourlas supergravity
A manifestly diffeomorphism invariant exact renormalization group requires extra diffeo-morphism invariant ultraviolet regularisation at some effective cutoff scale Λ. This motivatesconstruction of a ‘Parisi-Sourlas’ supergravity, in analogy with the gauge theory case, where thesuperpartner fields have the wrong spin-statistics such that they can become Pauli-Villars regu-lator fields after spontaneous symmetry breaking. We show that in contrast to gauge theory, thefree theory around flat space is already non-trivial and in a sense already displays some spon-taneous symmetry breaking. We show that the fluctuating fields form multiplets whose massmatrices imply that the fields propagate into each other not only with the expected 1/p2butalso through propagators with improved ultraviolet properties, namely 1/p4and 1/p6, despitethe fact that the action contains a maximum of two space-time derivatives.
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Kellett, Matthew Peter
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Kellett, Matthew Peter
45588983-7fa8-4eb1-abdf-f782d3bfe6ad

Morris, Timothy and Kellett, Matthew Peter (2020) Parisi-Sourlas supergravity. Pre-print. (In Press)

Record type: Article

Abstract

A manifestly diffeomorphism invariant exact renormalization group requires extra diffeo-morphism invariant ultraviolet regularisation at some effective cutoff scale Λ. This motivatesconstruction of a ‘Parisi-Sourlas’ supergravity, in analogy with the gauge theory case, where thesuperpartner fields have the wrong spin-statistics such that they can become Pauli-Villars regu-lator fields after spontaneous symmetry breaking. We show that in contrast to gauge theory, thefree theory around flat space is already non-trivial and in a sense already displays some spon-taneous symmetry breaking. We show that the fluctuating fields form multiplets whose massmatrices imply that the fields propagate into each other not only with the expected 1/p2butalso through propagators with improved ultraviolet properties, namely 1/p4and 1/p6, despitethe fact that the action contains a maximum of two space-time derivatives.

Text
Parisi-Sourlas supergravity - Accepted Manuscript
Download (483kB)

More information

Accepted/In Press date: 31 July 2020

Identifiers

Local EPrints ID: 443227
URI: http://eprints.soton.ac.uk/id/eprint/443227
PURE UUID: cd1ed346-828f-4750-a308-e3c42a0a39b8
ORCID for Timothy Morris: ORCID iD orcid.org/0000-0001-6256-9962
ORCID for Matthew Peter Kellett: ORCID iD orcid.org/0000-0001-9573-4127

Catalogue record

Date deposited: 18 Aug 2020 16:30
Last modified: 07 Oct 2020 02:13

Export record

Contributors

Author: Timothy Morris 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 http://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.

×