Thank you for your email, we did indeed have an exhibition titled “Library of Babel” you can find some images of it and a list of exhibited artists here: http://www.
zabludowiczcollection.com/ london/exhibitions/the- library-of-babel-in-and-out- of-place
However, the art work exhibited was not produced specially for the exhibition, and to my knowledge none of the artists produced their work along the theme of the story, much like the books held in Borges’ library are not themselves about the library. The reason the exhibition was named after the story was because of the way the exhibition was curated; Anna Catherina Gebbers was asked to put together an exhibition from the Zabludowicz Collection, which is a vast collection of over 2000 works of contemporary art, and she felt that the collection resembled the Library of Babel.
Please don’t hesitate to be in touch if you have any further questions.
Although this means that the art in the exhibit was not directly based on Borges' work, in my mind, Anna Catherina Gebbers was in her own right an artist basing a work on Borges. I'm still trying to figure out if I can use this.