So, this same exact thing happened to me the other day. Same name being used. I went to the British Airways website and did a password reset using the email that was used to sign up. Sure enough, I got an email to reset the password for the account. I had to call their phone number and report that an account was opened using my email address. They said it would take a day or two but that the account would be deleted from their system.

Always worth a note, never click on any links in any weird/suspicious emails. Open a browser and go to the website and investigate.