Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-17
Nucl.Phys.B839:21-51,2010
Physics
High Energy Physics
High Energy Physics - Theory
32 pages; v2: minor corrections, references added
Scientific paper
10.1016/j.nuclphysb.2010.05.020
We explicitly show how the chiral superstring amplitudes can be obtained through factorisation of the higher genus chiral measure induced by suitable degenerations of Riemann surfaces. This powerful tool also allows to derive, at any genera, consistency relations involving the amplitudes and the measure. A key point concerns the choice of the local coordinate at the node on degenerate Riemann surfaces that greatly simplifies the computations. As a first application, starting from recent ansaetze for the chiral measure up to genus five, we compute the chiral two-point function for massless Neveu-Schwarz states at genus two, three and four. For genus higher than three, these computations include some new corrections to the conjectural formulae appeared so far in the literature. After GSO projection, the two-point function vanishes at genus two and three, as expected from space-time supersymmetry arguments, but not at genus four. This suggests that the ansatz for the superstring measure should be corrected for genus higher than four.
Matone Marco
Volpato Roberto
No associations
LandOfFree
Getting superstring amplitudes by degenerating Riemann surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Getting superstring amplitudes by degenerating Riemann surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Getting superstring amplitudes by degenerating Riemann surfaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-699509