I am not an expert in this area but I know that [Costello, Gaiotto][1], [Paquette][2], and others have been studying topological and holomorphic twists of ADS/CFT. Unlike the full correspondence this is one seems amenable to mathematical analysis. 


  [1]: https://arxiv.org/abs/1812.09257
  [2]: https://arxiv.org/abs/2001.02177