2
$\begingroup$

Is it possible to add the generators of dilatations to Poincare superalgebra in any dimensions with any number of supercharges without adding the full superconformal generators?

I have only seen superconformal algebras so far but never a Weyl-SUSY algebra that is the bosonic sector only consists of $\{P_a, J_{ab}, D, \text{R-symmetry generator}\}$ but not the generators of special conformal symmetry $\{K_a\}$.

Improve this question
$\endgroup$
2
$\begingroup$

Unitary scale invariant theories are either conformal or indistinguishable from conformal theories on $\mathbf{R}^4$. This means that, for all practical purposes, scale invariance and unitarity imply conformality.

For review see slides "Scale and Conformal Invariance" by Zohar Komargodski.

Improve this answer
$\endgroup$
  • $\begingroup$ My question is about the algebra, not about theories. Surely, there is an algebra with scale symmetry only that is different from the conformal algebra. $\endgroup$ – SprCsm Dec 10 '19 at 12:28

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

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