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Referee 2:
In eq.(16) the authors explain their enhancement mechanism in terms of a cancellation between the odd and even sums. Is this really what it is happening in the models of the next sections where there are very few terms? If so, I would like to remark that in general the pfaffians Λk are not independent and cannot be tuned freely. For example, when going from the superpotential (38) to (39) the pfaffian gets an exponential dependence on the saxion e( −cnρ) which indeed corresponds to the euclidean instanton action. If we keep this saxionic dependence, it becomes very difficult to tune the pfaffians as the ratio between two of them is always given by such an exponential factor. How do the authors overcome this problem? It seems that they simply neglect the dependence on the saxion and tune freely the amplitudes of the potential but this is not always correct. How is this justified and how would the results change if it was done properly?
The text was updated successfully, but these errors were encountered:
Referee 2:
In eq.(16) the authors explain their enhancement mechanism in terms of a cancellation between the odd and even sums. Is this really what it is happening in the models of the next sections where there are very few terms? If so, I would like to remark that in general the pfaffians Λk are not independent and cannot be tuned freely. For example, when going from the superpotential (38) to (39) the pfaffian gets an exponential dependence on the saxion e( −cnρ) which indeed corresponds to the euclidean instanton action. If we keep this saxionic dependence, it becomes very difficult to tune the pfaffians as the ratio between two of them is always given by such an exponential factor. How do the authors overcome this problem? It seems that they simply neglect the dependence on the saxion and tune freely the amplitudes of the potential but this is not always correct. How is this justified and how would the results change if it was done properly?
The text was updated successfully, but these errors were encountered: