Supersymmetric and Conformal Features of Hadron Physics
Round 1
Reviewer 1 Report
in this short review the author introduces the Supersymmetric Light Front Holografic QCD Approach and shows that this approach predicts novel sypersymmetric relations between mesons, baryons and tetraquarks, of the same parity, as members of the same 4-plet representation of the superconformal algebra. The paper is weel written and gives a general idea of the power of the approach. Therefore I do recommend the publication.
Author Response
I thank the referee for the positive comments.
Reviewer 2 Report
I am little curious about the soft-wall solution discussed in section 3. Here the standard AdS5 solution has been modified by a non-constant dilaton. Does the particular form of the dilaton used in this paper follow from some gravity action? It would be nice if the action is given in the paper. If not, then how can one get such form of the dilaton -- necessary to get the Gaussian form of the non-perturbative QCD coupling. It would be good to have some comments regarding this in the paper.
Author Response
Referee: I am little curious about the soft-wall solution discussed in section 3. Here the standard AdS$_5$ solution has been modified by a non-constant dilaton. Does the particular form of the dilaton used in this paper follow from some gravity action? It would be nice if the action is given in the paper. If not, then how can one get such form of the dilaton -- necessary to get the Gaussian form of the non-perturbative QCD coupling. It would be good to have some comments regarding this in the paper.
Author. I thank the referee for this important question.
The soft-wall dilaton $e^{+ \kappa^2 z^2}$ modification of the conformal AdS$_5$ action is selected so that the resulting bound state equation in the AdS fifth dimension yields the $\kappa^4 z^2$ confining potential and thus the $\kappa^4 \zeta^2$ potential in the LF Schr\"odinger equation, as in the dAFF modification of a conformally-invariant Hamiltonian. Thus this dilaton conforms with the dAFF procedure, which shows how a mass scale $\kappa$ can appear in a bound state equation while retaining the conformal invariance of the action.
I do not know if one can relate this choice of dilaton to a theory of gravity. However, there is a discussion of why a positive-sign dilaton produces stability in string theory by Klebanov and Maldacena in their article in Physics Today. https://www.sns.ias.edu/ckfinder/userfiles/files/Published.pdf
I have followed the referee's suggestion and added this discussion to the revised manuscript.
Author Response File: 
Author Response.pdf
