University of Hertfordshire Research Archive

        JavaScript is disabled for your browser. Some features of this site may not work without it.

        Browse

        All of UHRABy Issue DateAuthorsTitlesThis CollectionBy Issue DateAuthorsTitles

        Arkivum Files

        My Downloads
        View Item 
        • UHRA Home
        • University of Hertfordshire
        • Research publications
        • View Item
        • UHRA Home
        • University of Hertfordshire
        • Research publications
        • View Item

        Generalising G2 geometry: involutivity, moment maps and moduli

        View/Open
        Ashmore2021_Article_GeneralisingG2GeometryInvoluti.pdf (PDF, 903Kb)
        Author
        Ashmore, Anthony
        Strickland-Constable, Charles
        Tennyson, David
        Waldram, Daniel
        Attention
        2299/23865
        Abstract
        We analyse the geometry of generic Minkowski $\mathcal{N}=1$, $D=4$ flux compactifications in string theory, the default backgrounds for string model building. In M-theory they are the natural string theoretic extensions of $\mathrm{G}_2$ holonomy manifolds. In type II theories, they extend the notion of Calabi--Yau geometry and include the class of flux backgrounds based on generalised complex structures first considered by Gra\~na et al. (GMPT). Using $\mathrm{E}_{7(7)}\times\mathbb{R}^+$ generalised geometry we show that these compactifications are characterised by an $\mathrm{SU}(7)\subset\mathrm{E}_{7(7)}$ structure defining an involutive subbundle of the generalised tangent space, and with a vanishing moment map, corresponding to the action of the diffeomorphism and gauge symmetries of the theory. The K\"ahler potential on the space of structures defines a natural extension of Hitchin's $\mathrm{G}_2$ functional. Using this framework we are able to count, for the first time, the massless scalar moduli of GMPT solutions in terms of generalised geometry cohomology groups. It also provides an intriguing new perspective on the existence of $G_{2}$ manifolds, suggesting possible connections to Geometrical Invariant Theory and stability.
        Publication date
        2021-01-26
        Published in
        Journal of High Energy Physics
        Published version
        https://doi.org/10.1007/JHEP01(2021)158
        Other links
        http://hdl.handle.net/2299/23865
        Metadata
        Show full item record
        Keep in touch

        © 2019 University of Hertfordshire

        I want to...

        • Apply for a course
        • Download a Prospectus
        • Find a job at the University
        • Make a complaint
        • Contact the Press Office

        Go to...

        • Accommodation booking
        • Your student record
        • Bayfordbury
        • KASPAR
        • UH Arts

        The small print

        • Terms of use
        • Privacy and cookies
        • Criminal Finances Act 2017
        • Modern Slavery Act 2015
        • Sitemap

        Find/Contact us

        • T: +44 (0)1707 284000
        • E: ask@herts.ac.uk
        • Where to find us
        • Parking
        • hr
        • qaa
        • stonewall
        • AMBA
        • ECU Race Charter
        • disability confident
        • AthenaSwan