Visual Studio 2013 offers several authentication options for web applications as described in the article below.
http://www.asp.net/visual-studio/overview/2013/creating-web-projects-in-visual-studio#orgauthoptions

The following walkthrough is great for setting up authentication for a web application against an ADFS instance.
http://www.cloudidentity.com/blog/2014/02/12/use-the-on-premises-organizational-authentication-option-adfs-with-asp-net-in-visual-studio-2013/

The same approach can be used to setup authentication for a web application against Windows Azure Access Control Service(ACS).

clip_image002

clip_image004

The metadata URL can be found in the windows azure management portal for ACS, in the Application Integration section

clip_image006

clip_image008

For “App ID URI”, you can leave it and the default value will be automatically populated or you can configure this to be the realm for your application.
Click Ok and your web application is configured to authenticate against Windows Azure ACS.

NOTE: http://blogs.msdn.com/b/cie/archive/2014/02/21/errors-id4175-and-wif10201-in-context-of-acs.aspx has a couple of errors you may run into.