Summaries

I like to write summaries of things I learn or calculations that I do so I can go back in the future when I need it again. I thought I could share them in case people find them useful. I know I like to read it when I find something like that on other people's webpages. Let me know if you read some of them and find mistakes or things unclear.

  • (Lie groups) This one is a review of how to find the dimension of the usual Lie groups and Lie algebras that we encounter in physics.
  • (Symmetric tensors) Here is a calculation of the number of independent components in a totally symmetric tensor and in a totally anti symmetric tensor.
  • (Webpage building) I lead a session with the high energy theory people on how to build a webpage and the summary of what I said is here.
  • (2d torus blocks) I show here how to calculate the torus one-point function conformal blocks in two dimensions to reproduce the result of hep-th/0911.2353 that was not totally clear.
  • (Casimirs) This is a summary of the Casimir operators of the conformal algebra in general dimensions. It includes the quartic Casimir as well as the 2d version of the operators.
  • (Thermal objects) Here are some examples of objects in physics that exhibit periodicity in Euclidean time that can be related to finite temperature.
  • (Characters) I compute the contribution to the partition function from a single conformal familly in various settings.