More on Superstring Chiral Measures
نویسنده
چکیده
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 the measures are defined on the whole Siegel upper half space. Instead for g ≥ 5 we find that the measures can no more be expressed as polynomials in the theta constants and are well defined on the moduli space of curves only. We also determine the dimension of certain spaces of modular forms and reinterpret the vanishing of the cosmological constant in terms of group representations.
منابع مشابه
Infinite tension limit of the pure spinor superstring
Mason and Skinner recently constructed a chiral infinite tension limit of the Ramond-Neveu-Schwarz superstring which was shown to compute the Cachazo-He-Yuan formulae for tree-level d=10 Yang-Mills amplitudes and the NS-NS sector of tree-level d=10 supergravity amplitudes. In this letter, their chiral infinite tension limit is generalized to the pure spinor superstring which computes a d=10 sup...
متن کاملHeterotic parafermionic superstring.
Superstrings have been postulated based on parafermionic partition functions which permit spacetime supersymmetry by generalized Jacobi identities. A comprehensive search finds new such identities. Quadrilateral anomaly cancellation gives constraints on allowed chiral fermions. Bosonic left-movers and Z4 parafermionic right-movers combine in a new heterotic superstring, more constrained than th...
متن کاملGreen M B & Schwarz J H. Anomaly cancellations in supersymmetric D=10 gauge theory and superstring theory. Phys. Lett. B 149:117-22, 1984
All one-loop chiral gauge and gravitational anomalies are shown to cancel in the 10-dimensional N=1 supergravity theory that arises as the low-energy limit of type 1 superstring theory when the gauge group is SO(32). This cancellation follows from the absence of one-loop anomalies in the full string theory. The only other possible gauge group which gives an anomaly-free 10-dimensional chiral N=...
متن کاملGreen M B & Schwarz J H. Anomaly cancellations in supersymmetric D=10 gauge theory and superstring theory. Phys. Lett. B 149:117-22, 1984
All one-loop chiral gauge and gravitational anomalies are shown to cancel in the 10-dimensional N=1 supergravity theory that arises as the low-energy limit of type 1 superstring theory when the gauge group is SO(32). This cancellation follows from the absence of one-loop anomalies in the full string theory. The only other possible gauge group which gives an anomaly-free 10-dimensional chiral N=...
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 کامل