Talk:N = 4 supersymmetric Yang–Mills theory

In the article the Lagrangian is given as: $$ L = tr \left\{\frac{1}{2g^2}F_{\mu\nu}F^{\mu\nu}+\frac{\theta_I}{8\pi^2}F_{\mu\nu}\bar{F}^{\mu\nu}- i \gamma^a\sigma^\mu D_\mu \lambda_a -D_\mu X^i D^\mu X^i +g C^{ab}_i \lambda_a[X^i,\lambda_b] +C_{iab}\lambda^a[X^i,\lambda^b]+\frac{g^2}{2}[X^i,X^j]^2 \right\} $$

But in the reference the Lagrangian reads: $$ L = tr \left\{ - \frac{1}{2g^2} F_{\mu\nu} F^{\mu\nu} + \frac{\theta_I}{8\pi^2} F_{\mu\nu}\tilde F^{\mu\nu} - i \bar \lambda^a \bar \sigma^{\mu}D_{\mu}\lambda_a - D_{\mu}X^i D^{\mu} X^i + g C^{ab}_i \lambda _a [X^i, \lambda_b] +\bar C_{iab} \bar \lambda^a [X^i, \bar \lambda^b] + \frac{g^2}{2} [X^i, X^j]^2 \right\} $$

I am not an expert on this topic, maybe the two formulations are equivalent or the source is wrong.

Randrian (talk) 08:02, 14 September 2012 (UTC)

Good spot. The minus sign was missing. Proving the importance of references! — Preceding unsigned comment added by 86.156.93.90 (talk) 19:28, 16 September 2012 (UTC)

Basic Question
The title of this article is N = 4 supersymmetric Yang–Mills theory. What is confusing to me, is whether there is a difference between a "supersymmetric" theory and a basic N=4 Yang-Mills theory. If all N=4 Yang-Mills models support SUSY interpretation, then can we rename the article as N = 4 Yang–Mills theory, and explain in the article that it must contain SUSY? We could create redirects from the current title, even. If there is a difference, I feel the article shous spend more time explaining the SUSY aspect of the distinction. 70.247.175.236 (talk) 18:19, 2 January 2014 (UTC)

It is a sort of redundant name, but that is what it is called. Plus it emphasizes how super this theory is (good or bad thing depending on your goal). AHusain (talk) 05:44, 4 January 2014 (UTC)


 * There is more than one supersymmetric Yang–Mills theory, not only N=4 supersymmetry. There is also N=1 supersymmetry and N=2 supersymmetry, and in other numbers of spacetime dimensions there may be others. I'm not sure what you mean by "all N=4 Yang-Mills models support SUSY interpretation", as the "N=4" part basically says how much supersymmetry you have. MuDavid (talk) 02:01, 26 August 2015 (UTC)

External links modified (February 2018)
Hello fellow Wikipedians,

I have just modified one external link on N = 4 supersymmetric Yang–Mills theory. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
 * Added archive https://web.archive.org/web/20140531090415/http://www-hep.physics.uiowa.edu/~vincent/courses/29276/Presentations/Luke%20Wassink.pdf to http://www-hep.physics.uiowa.edu/~vincent/courses/29276/Presentations/Luke%20Wassink.pdf

When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.

Cheers.— InternetArchiveBot  (Report bug) 03:01, 11 February 2018 (UTC)