Modular Forms and Three Loop Superstring Amplitudes

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dc.creatorCacciatori, Sergio L.
dc.creatorPiazza, Francesco Dalla
dc.creatorvan Geemen, Bert
dc.date2008-01-16
dc.date2008-04-03
dc.date.accessioned2026-07-07T11:39:54Z
dc.date.available2026-07-07T11:39:54Z
dc.descriptionWe study a proposal of D'Hoker and Phong for the chiral superstring measure for genus three. A minor modification of the constraints they impose on certain Siegel modular forms leads to a unique solution. We reduce the problem of finding these modular forms, which depend on an even spin structure, to finding a modular form of weight 8 on a certain subgroup of the modular group. An explicit formula for this form, as a polynomial in the even theta constants, is given. We checked that our result is consistent with the vanishing of the cosmological constant. We also verified a conjecture of D'Hoker and Phong on modular forms in genus 3 and 4 using results of Igusa.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0801.2543
dc.identifierhttp://arxiv.org/abs/0801.2543
dc.identifierNucl.Phys.B800:565-590,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.03.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200092
dc.subjectHigh Energy Physics - Theory
dc.titleModular Forms and Three Loop Superstring Amplitudes
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