This is a known, intermittent issue with Flash Debug in Chrome, unfortunately. The generated HTML page tends to not work properly. For most debugging purposes, I would either try a different browser (I believe IE9, and presumably 10, and Firefox have worked in the past for me) or debug with the actual debug player rather than the browser.
To switch the Debug Player, do this in FlashBuilder
- Run > Debug Configurations...
- That should default to the current project. If not, go to that project using the sidebar
- In the settings area, you should see a section titled "URL or Path to Launch." Uncheck "Use Default"
- Browse to and select your SWF, rather than your HTML page
That will open it in the Flash Player and eliminate Chrome from the equation