How do I [35 M] get over this betrayal by my friends [20s-40s M/F]?

edit: Thank you all so much for the different points of view and the kind words. Although I'm a stranger to you, know that everyone who replied has helped me sort through things in my head, and I truly appreciate it. I am going to arrange a few sessions with a therapist and read up on a few books/ideas that were mentioned. However, I am leaning towards writing my own ending to gain some closure and killing the game off. While I understand why they acted the way they did, I think too much damage has been done, and too much time has passed, to go back to what we had.
edit 2: to make it clear, no one has ever actually apologized to me, as such. The "supportive" messages I got were generally like, "it's a shame things got screwed up, this is a terrible situation, when you're ready to play we'll be here for you".

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For three years, I've managed a real-life gaming group - think along the lines of Warhammer 40K, D&D, LARP etc. Our community is very niche (so I don't want to specify what it is). I host the games in my home. We meet 3 to 4 times a week, and our group is around 20 players, boys and girls between 20 and 40 years old.
I started the group, manage the sessions, provide all the resources, handle any interpersonal disputes, and create 100% of the content we use. I have spent thousands of dollars of my own money with no expectation of anything in return. I spend 10-12 hours a week of my free time preparing for the upcoming games. This involves writing, drawing, painting, preparing print-outs and scripts etc. I have written over 300,000 words of in-game lore for the players' use, and created a richly detailed tapestry for their enjoyment. I do it because I love it, and because my players love it. Until this incident happened, we had no major problems and a hell of a lot of fun.
All this is not to brag, but to show that it's a labor of love, and to illustrate how much of myself I've put into this hobby.
Around 6 months ago, I had a dispute over rules with one player (28 F). She felt she was unfairly disadvantaged by a ruling I made. Not wanting to disrupt our sessions, I met with her a few times privately to hear her out. I gave her a more than fair hearing. I absolutely empathized with her, but I have to be a neutral arbiter, and to change the ruling I made would disadvantage the other players. After this, she grew increasingly bitter and passive-aggressive in our sessions, becoming withdrawn and angry, a side of her I had never seen.
About a week later, after one session had finished, the players (including her) left my home. An hour later, my phone and social media were blowing up with messages from all my friends. The girl in question (who is married, as am I) broke down crying and made an accusation that I had sexually assaulted her. She waited until they were out of earshot of my home, then made the accusation when I wasn't there to defend myself.
Specifically, she said that during one of the private meetings we had about the rules, I approached, held her down forcibly, and pushed my hand between her legs to grope her genitals.
I have never had a sexual interest in this girl or approached any of my players inappropriately, and I did nothing that could be remotely construed as assault. I didn't touch her, and was on the other side of a long table the entire time we talked. Our conversation was solely about the rules of the game. Obviously, we both only have our word as evidence.
My wife, my best friend (who both play) and another friend all immediately told me they stood behind me. My wife has been a rock, and has never doubted me for a split second.
The problem is how the rest of the players reacted. Within an hour or two of hearing her accusation, many of them started to block and remove me on social media. The ones who didn't block me entirely gave me the cold shoulder, ignoring my calls and messages despite my pleas for them to hear me out.
I got a LOT of accusatory messages saying things like "Why would she lie? What could she gain out of lying about something so horrible? I don't think she's that kind of person. Why would you do something like this etc."
Only a week after she made the accusation, she broke down crying in front of her husband and admitted that nothing happened, and that she lied out of anger, to break down what she saw as my stubbornness over the rules. Her husband has now separated from her while they attend couples' therapy because he no longer trusts her.
Maybe my friends were in shock at first, because she put on a good act. But my problem is they didn't give me the benefit of the doubt, or even hear my side. I would even accept it if they said "Hey, an accusation has been made, and I don't think you're that kind of guy, but what do you say about it?" But no one wanted to listen to me at the time. This is a potentially life-ruining accusation in my eyes.
That was six months ago, during which time the games have been suspended (the games are impossible to run without my co-operation, because I do all the work). I haven't spoken to any of the friends since. Once she told the truth, they immediately started to friend request me again, and send messages of support, saying that they believed me, they were sorry, and would open their arms to me when I'm ready to speak. They also sent a lot of messages begging me to resume the game sessions when I'm ready, because it's very important to them.
I feel like it was too little, too late, and I haven't replied to anyone. I spent the entire week after the incident alternating between extreme anger, tears, and anxiety that I'd have a reputation as a sex offender or even face criminal investigation or lose my job.
So it's easy, right? Cut ties and move on.
Well, my problem is simple: I really miss the game.
I've devoted three years of my life to this game, and it might sound dramatic, but it feels like I've lost a relationship or a limb. I'm so sad over all the storylines that will never play out, especially for the friends who stood by me, like my wife and my best friend - they did nothing to deserve having their game ruined. I miss the laughs, and the drama, and the storytelling. I'm sad that everything I created is just languishing in files in my home, never to be used again. The friends who supported me are always telling me how much they miss my creations.
Unfortunately, due to the rules of the game, it would not be possible to restart the game without all of the group present (except my accuser, who won't be joining us). Also, it wouldn't be possible to start a new game with different people using the work I've done, for technical reasons (the way they interact with the game changes it as they play).
Part of me wants to reach out to my friends and just ask them if they want to start playing again, but another part of me simply can't get over the way they dumped all over me as soon as they got the chance.
I can't decide what I want.
A friend who's not involved in this situation said I'm crazy for wanting to associate with these people again, because they could have ruined my life. He said that I should actually grieve for my creations and then try to let it all go, accept that it's over. But I just can't let go of everything I've written and made.
I could really use an objective point of view because I have such a strong emotional attachment to the game I've invested so much in. Thank you.

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tl;dr: I run a tabletop gaming group of around 20 people. One girl in the group falsely accused me of sexual assault because she was mad at me. Almost everyone believed her, and ostracized me, but now they're on my side and they're begging me to come back. I can't decide whether I want to play with them again or not.


Source.