Hi,
in a product details page, the "fancybox" is creating a JS Conflict issue.
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This is why the carousel (and all the jQuery dependent applications) don't work. Try disabling the Fancybox (and use Facebox) through Virtuemart Backend:
Open
VM Backend >> Configuration >> Template and look at the screeshot:
Attachment Pasted_Image_9_3_13_12_32_AM_2013-09-15_2013-09-27_2013-10-17.png not found
When you disable the "fancybox", your virtuemart will start using "facebox" for modal popups. That might resolve the issue, or not.
For the best solution, you need to organize the jQuery usage in your website. Right now, your website is loading about 2-3 different jquery library, which is not okay. One jQuery is enough for everything.
Normally, you should leave the "jQuery FIX" parameter set to NO. We have added that Easy FIX solution to our module for websites like yours. (websites that load multiple jQuery libraries at one page). But of course there are some cases (like yours) even the patch doesn't help.
You may take a look at this topic for organizing the jQuery (if disabling Fancybox doesn't solve the issue):
flexiblewebdesign.com/forum-virtuemart-2-template-puremart-support/523-the-easiest-way-to-solve-jquery-conflict-issues
Regards.