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  References for phase-transitions in supersymmetric field theory

+ 5 like - 0 dislike

Apart from other reasons, recently my interest in this area got piqued when I heard an awesome lecture by Seiberg on the idea of meta-stable-supersymmetry-breaking.

I am looking for references on learning about phase transitions/critical phenomenon in supersymmetric field theory - may be especially in the context of $\cal{N}=4$ SYM.

It would be great if along with the reference you can also drop in a few lines about what is the point about this line of research.

To start off,

I would be very happy to be pointed to may be some more pedagogical/expository references about this theme of supersymmetric phase transitions.

This post has been migrated from (A51.SE)
asked Jan 15, 2012 in Theoretical Physics by Anirbit (585 points) [ no revision ]
retagged Mar 18, 2014 by dimension10

1 Answer

+ 2 like - 0 dislike

While this isn't necessarily going to answer your request, I think it might be interesting none the less:

Phases of N=2 Theories in Two Dimensions

In a String Theory context: The Basic Idea is to study a GLSM in 2D which exhibits the interesting property to lead to Calabi-Yau compactification in one phase and Orbifold compactification in the other.

The hope & current research is to better understand Calabi-Yau compactification by taking a look at the Orbifold phase and perhaps find a suitable way to give rise to the standard model in String Theory.

This post has been migrated from (A51.SE)
answered Jan 16, 2012 by Michael Kissner (230 points) [ no revision ]
Thanks a lot for the reference and the insights. Probably this is an unfair help to ask for but you might appreciate that I am a newbie! - can you kindly tell me if the content of the above paper is more or less the same thing as these 3 lectures by Witten - http://www.math.ias.edu/QFT/spring/witten17.ps http://www.math.ias.edu/QFT/spring/witten18.ps http://www.math.ias.edu/QFT/spring/witten19.ps I am having a vague feeling that these lectures basically review the paper you linked. Is it?

This post has been migrated from (A51.SE)
It might seem like that, as both the paper and lecture are about the geometrical properties of these theories, however, the lecture you linked is on a different subject. (Keep in mind however that I only read the Introductions to each lecture you posted) For example, the paper I linked is studying 2D N=2 SUSY (which you get by reducing 4D N=1 SUSY by 2 dimensions) and the lectures you posted are on 4D N=2 SUSY, which are both very different.

This post has been migrated from (A51.SE)
Thanks for the clarification. I am probably going to be concentrating more along the lines of the paper you linked. It seems to be pedagogically coming before the papers that I mentioned. Can you pin-down as to in the context of this paper, what are the phases for this case of N=2 on 1+1 for which one is looking for the phase-transitions? What is the order parameter in question? It would be greatly helpful if you can give these big-picture ideas.

This post has been migrated from (A51.SE)
The order Parameter in this case is the $r$-Parameter which arises by including the Fayet-Iliopoulos D-Term. Depending on what value $r$ takes, different constraints arise for our Compactification (Calabi-Yau or Orbifolds). The Big picture in this case is what I wrote as my last sentence in the answer above.

This post has been migrated from (A51.SE)
Thanks for the outline! May be I will put up more detailed questions on this once I get through a substantial part of the paper.

This post has been migrated from (A51.SE)

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