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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 26th 2009

stub for Poisson sigma-model. Needs references.

• CommentRowNumber2.
• CommentAuthorzskoda
• CommentTimeNov 26th 2009
• (edited Nov 26th 2009)

In related entry AKSZ model I have changed the link to action functional which actually was directing to path integral to the true link action functional, which itself has a paragraph on path integral containing a link path integral. I added some references to Poisson sigma model.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeNov 26th 2009
• (edited Nov 26th 2009)

Thanks!

By the way, what's the full story: Kontsevich didn't mention the Poisson sigma-model in his work, first. Then Cattaneo-Felder guessed that this was really where he got his diagrammatics from, secretly. I have been told that after they figured this out they asked him if he obtained his idea this way, without saying so, and allegedly he just said something like "Sure."

Do you know more?

• CommentRowNumber4.
• CommentAuthorzskoda
• CommentTimeNov 26th 2009
• (edited Nov 26th 2009)

I think this is true, MK was imagining diagram expansion for a particular field theory, though his purpose was deformation quantization, hence maybe did not develop full theory of the model, which had for him then just a heuristic purpose.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeAug 6th 2011

I have spelled out the definition of the action functional of the Poisson sigma-model

• CommentRowNumber6.
• CommentAuthorzskoda
• CommentTimeAug 6th 2011
• (edited Aug 6th 2011)

Sigma model is much more common spelling then sigma-model, as far as the main contemporary references and google search show, as well as scholarpedia and wikipedia entries. Of course, if spelled out the Greek letter than it has a dash.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeAug 6th 2011

Hm, okay, thanks. I am always unsure about how to typeset such compunds. Maybe I should change that throughout….

• CommentRowNumber8.
• CommentAuthorzskoda
• CommentTimeAug 6th 2011

In a logical way it is more consistent the way you done it – because the version with Greek letter had a hyphen, but somehow this easier no-hyphen way got statistically prevalent in present day references with word-spelled form of sigma. Don’t worry.