Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

can we have in physic or can we speak about 1-d conformal theory in physics ??

for example in this one dimensional theory what would be the generators $ x \partial _{x} $ or $ \partial _{x} $ ??

share|cite|improve this question
up vote 7 down vote accepted

Yes, such theories exist. They're known as "conformal quantum mechanics". See

There is an $SL(2,{\mathbb R})$ symmetry in them, or its (e.g. supersymmetric) extensions. The potential $1/r^2$ may occur in such QM models. Because there is only time dimension, there is no $\partial_x$, just $\partial_t$, and similarly there is only $t \partial_t$, formally speaking.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.