I am getting this new error in chrome. I am logged into Windows with a Site Collection Administrator. I tried clearing the browser cache and passwords but no luck. This doesn't happen in IE or Firefox. Any ideas?
As per discussion, looks like Chrome is getting the windows credentials and in SharePoint 2013, we don't have the "sign in with different user" options. that is the reason you getting the above error.
But still you can login in with different user with direclty browsing this way,