Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

What are the general spectral properties of CFT? I mean what is the "spectrum"/eigenvalues of CFT in 2d and d>2 spacetime dimensions? I understand the "spectrum" and "Fock space" realization of Dirac equations, Klein-Gordon equations or even the Maxwell equations...But, how do we work with conformal invariance, either in 2d, where the conformal group is infinite-dimensional or in d>2 where the conformal group is "finite-dimensional"? Note: I think It is related to correlators of conformal fields but I need a more precise and intuitive(if possible) physical/mathematical idea of how we face CFT.

share|improve this question

1 Answer 1

If you add the hypothesis of unitarity you have that the conformal weights of your field $\Delta_i$ must obey the following inequality: $$\Delta_i \geq \frac{d-2}{2} + l$$ where $l$ is the spin of the operator.

The conformal bootstrap equation give you also constraints on the coefficients $C_{ijk}$ appearing in the 3-point correlation function.

As far as I know, a CFT is defined by a set $\{\Delta_i,C_{ijk}\}$ and these are the constraints on them.

share|improve this answer

Your Answer

 
discard

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.