So I want to be able to cap:deploy without having to type any passwords. I have setup all private keys so I can get to the remote servers fine, and am now using svn over ssh, so
I just spent a good hour looking at sudoer wildcards and the like trying to solve this exact problem. In truth, all you really need is a root executable script that restarts nginx.
Add this to the /etc/sudoers file
username hostname ALL=NOPASSWD: /path/to/script
Write script as root
#! /bin/bash
/bin/kill -HUP `cat /var/run/nginx.pid`
Make the script executable
Test.
sudo /path/to/script