SAML Cookie Persistence after browser/system restart and across service providers
I am fairly new to the F5 world and in the beginning of setting up our LTM's as SAML IdP's for a variety of services. Our first use-case is Jive, which we have working and all the attributes are pulling across just fine, authentication is fine, everything is functional as is.
I'm having a hard time translating what we want the user experience to be into the next phase of the configuration. Our hope was that we could authenticate a user to the LTM, they would be provided a cookie that was set to expire in 24 hours, that cookie would provide SSO access to other services that we'll be adding, and once the 24 hours is up the user would be asked to authenticate again regardless of which service they are logging in to.
I've set the Maximum Session Timeout to 86400 seconds (24 hours) and set the cookie to persistent, but when I log in with a test account I don't see a new cookie created on the user system and closing the browser loses the session. In addition, I don't have another sandbox service provider to test with currently to ensure that the cookie we are hoping will be creating would be valid for that other service as well.
Am I wrong in thinking that the F5 can provide a persistent cookie that survives beyond browser or systems restarts? Can the F5 only provide SSO for that time period and across SAML partners as long as that browser session is open?
I presume I'm asking some pretty elementary stuff so forgive my lack of current knowledge. Any pointers on where I can read up on that or help managing my expectations would be appreciated.