Yes indeed! I just read it , and came here with a link to the abstract :http://uk.arxiv.org/abs/hep-th/0311044Originally posted by jeff
The following paper entitled Resource Letter: The Nature and Status of String Theory was authored by Donald Marolf
at UCSB. It gives a useful annotated overview of string theory literature, both popular and technical.
Are you referring to Greene or to Kaku here?Well, another example of somebody who is no real insider (he comes
Could you summarize the main ideas and results of this work?Moreover no mention of the important work of Douglas and others on D-geometry.
Neither, nor - the thread is about Marolf's review and this is what I meant - a quite biased selection of topics, with no clear idea why some subjects he presents should be more important than others that he leaves out.Originally posted by Urs
Are you referring to Greene or to Kaku here?
Douglas initiated a program to understand the quantum properties of D-branes, starting from the appropriate mathematical formulation (which is in terms of derived categories). This is a bit complicated stuff, but conceptionally extremely important, and I mean this physicswise. Since it is not fashionable to work on it, not much attention has been paid to this subject, but unfairly so.Originally posted by Urs
Could you summarize the main ideas and results of this work?
Hmm... it's almost too much to do so - best thing for you is toOriginally posted by Urs
I bet you would do many of us a real favor if you could similarly sketch the content of Vafa's recent work and what its importance is in your opinion.
For example the Kontsevich model, which is among the simplest MM that have a relation to TFT. Otherwise, have a look at the original papers of Dijkgraaf-Vafa for matrix models versus N=1 Yang-Mills, and to the recent paper on the topological vertex for MM describing various other TFT.Originally posted by Urs
Thanks a lot for this summary.
I had once heard a talk by E. Mayr, a collaborator of Vafa, in which he summarized some aspects of the stuff related to the topological string that you mentioned. I will have to sit down and look at these things in more detail.
One further question, though:
I had asked Mayr about the role played by Matrix Models in these approaches and I recall that he pointed to a distinction between new, very new, old and very old Matrix Models. I think he said that the very new ones are essentially the same as the very old ones!
All this pretty much confused me, because apparanetly I don't know all flavors of Matrix Models. What I know and understand is the BFSS model and the IIB (IKKT) model.
What other Matrix Models are there and how are they related to BFSS and IKKT?
No, K-theory plays a very small role, and even that is over-emphasized. Roughly K-theory is cohomology plus torsion, and since torsion is of minor importance in most practicial string computations, so is the difference between K-theory and cohomology.A lot of the string theory math refers to or depends on K-theory, a branch of the mathematical field algebraic geometry.