<human>: Some background. My girlfriend and I have been together for over a year, and we've had our ups and downs, but for the last few months we've been great. I have ADHD as well as depression, so I take vyvanse and lithium carbonate. 

Last night, we went to a party, and I got fairly drunk. Not puking my guts up drunk, but I was kind of dizzy by the time my head hit the pillow. Anyway, the next morning when I woke up, my girlfriend was leaving. I said bye to her, and she responded by telling me that while I was sleeping, I woke up, grabbed her ass, and whispered her friend's name, let's call her Wilma, in her ear. 

I was pretty speechless, because I was still really dizzy from drinking, and I was completely surprised because I had no recollection of this. I didn't drink enough to black out, so I would imagine that I was dreaming. 

This confuses me even more, because I'll admit that I think that Wilma is attractive, but to go as far as to think about her in my sleep is new to me. I don't ascribe any value to it emotionally, because, well, I love my girlfriend. 

She's off on a retreat of some sort, and will be spending the weekend with her friends. I don't really know what to say to her other than that I am sorry and that I love her. But she says she's upset by what I said. But I can't remember saying or doing either of those things, and I can't believe that I would do that in the first place. All of it just feels so confusing.

I guess my question is, what do I do from here? I mean, I apologized, and I don't have any feelings or intentions of cheating on my GF, but I did dream it. And that damage is done. How do I go about making sure this never happens again/assuring my GF that I won't cheat on her?

Summarize the given text in a few sentences.
<bot>: Got drunk, in my sleep, I groped my GF and called her someone else. How to repair the trust in our relationship?