Skip to main content Accessibility help
×
Hostname: page-component-5c6d5d7d68-7tdvq Total loading time: 0 Render date: 2024-08-07T15:19:10.419Z Has data issue: false hasContentIssue false

24 - The hidden assumptions of grand unification and the matter/force problem

Published online by Cambridge University Press:  01 June 2011

Get access

Summary

There are some features of N = 8 supergravity, shared, as we shall see, with higher-dimensional supergravities, that make these theories so very attractive. First of all, there are some assumptions in both ordinary and supersymmetric grand unification, so well hidden, that it is usually glossed over that they even are assumptions. Any grand unification starts by naming the grand unifying compact simple gauge group G(SU(5), SO(10)…). Now a clever guess concerning G goes a long way, but the list of simple compact Lie groups is infinite (Cartan 1894), and in theoretical physics a specific choice of G out of this infinite list ought to be theoretically justified. In ordinary grand unification no ideas for such a theoretical justification of the gauge group are ever alluded to. In extended (N = 8) supergravity we have seen that the choice of G is quite limited: SO(8) × SU/(8) or some subgroup thereof as chosen by the extrema of the potential. Once G is chosen, the gauge bosons are uniquely specified, but grand unification again refers to inspired guesses when it comes to the assignment of the matter (spin one-half fermions + Higgs scalars) to specific G-multiplets. Again these assignments, modulo all the difficulties mentioned in chapter 23, are theoretically dictated in N = 8 supergravity.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×