Talk:Penrose transform

Incorporating material from Berkovits

There was recently a suggestion at User talk:R.e.b. made from an anonymous IP address to incorporate some material from the paper "Higher-dimensional twistor transforms using pure spinors" by Nathan Berkovits (see here for the discussion). This seems to be a reasonable suggestion. At the very least, an explicit formula should be given in the case of compactified Minkowski space, and Berkovits's treatment is probably as good as any.

However, I have to quibble with the suggestion made in the thread referred to above that Berkovits was the first to discover how to generalize the Penrose transform to higher dimensions. This is already clear in the book of Baston and Eastwood (referenced in this article) from the early 1990s, which predates Berkovits' entry to the field by a few years, and there was already a substantial body of other research focusing on the higher-dimensional cases (notably, I suppose, Helga Baum and others). But that's ok. The Berkovits reference seems to be particularly lucid and accessible. So as long as it isn't given undue weight as a piece of original research, I think that it would make a worthy addition to the article. Sławomir Biały (talk) 12:20, 22 March 2011 (UTC)