Genus Four Superstring Measures
نویسندگان
چکیده
منابع مشابه
Genus Four Superstring Measures
Abstract. A main issue in superstring theory are the superstring measures. D’Hoker and Phong showed that for genus two these reduce to measures on the moduli space of curves which are determined by modular forms of weight eight and the bosonic measure. They also suggested a generalisation to higher genus. We showed that their approach works, with a minor modification, in genus three and we anno...
متن کاملMore on Superstring Chiral Measures
In this paper we study the expressions of the superstring chiral measures for g ≤ 5. We obtain certain new expressions which are functions of higher powers of theta constants. For g = 3 we show that the measures can be written in terms of theta constants to the fourth power and for g = 4 in term of squares of theta constants. In both cases the forms Ξ (g) 8 [0 ] appearing in the expression of t...
متن کاملLow energy expansion of the four-particle genus-one amplitude in type II superstring theory
A diagrammatic expansion of coefficients in the low-momentum expansion of the genus-one four-particle amplitude in type II superstring theory is developed. This is applied to determine coefficients up to order s6 R (where s is a Mandelstam invariant and R the linearized super-curvature), and partial results are obtained beyond that order. This involves integrating powers of the scalar propagato...
متن کاملRemarks on Superstring Amplitudes in Higher Genus
Very recently, Grushevsky continued D’Hoker and Phong’s program of finding the chiral superstring measure from first principles by constructing modular forms satisfying certain factorization constraints. He has proposed an ansatz in genus 4 and conjectured a possible formula for the superstring measure in any genus, subject to the condition that certain modular forms admit holomorphic roots. In...
متن کاملHigher Genus Superstring Amplitudes From the Geometry of Moduli Space
We show that the higher genus 4-point superstring amplitude is strongly constrained by the geometry of moduli space of Riemann surfaces. A detailed analysis leads to a natural proposal which satisfies several conditions. The result is based on the recently derived Siegel induced metric on the moduli space of Riemann surfaces and on combinatorial products of determinants of holomorphic abelian d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2008
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-008-0260-9