Data di Pubblicazione:
2008
Citazione:
Modular forms and three loop superstring amplitudes / S. L. Cacciatori, F. Dalla Piazza, L. van Geemen. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 800:3(2008), pp. 565-590.
Abstract:
We 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.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
S. L. Cacciatori, F. Dalla Piazza, L. van Geemen
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