Two loop superstring amplitudes and S_6 representations

Abstract

In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D'Hoker and Phong [1]. Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g.

10 pages, comments and reference added in the conclusions

References in corpus (7)

• Two-Loop Superstrings I, Main Formulas
• Two-Loop Superstrings II, The Chiral Measure on Moduli Space
• Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms
• Two-Loop Superstrings III, Slice Independence and Absence of Ambiguities
• Lectures on Two-Loop Superstrings
• Asyzygies, modular forms, and the superstring measure II
• Asyzygies, modular forms, and the superstring measure I

Cited by in corpus (18)

• Automorphic Forms and Fermion Masses
• Modular Forms and Three Loop Superstring Amplitudes
• Superstring scattering amplitudes in higher genus
• Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes
• NSR Superstring Measures Revisited
• Lattice Theta Constants vs Riemann Theta Constants and NSR Superstring Measures
• Siegel modular forms and finite symplectic groups
• One-Dimensional Super Calabi-Yau Manifolds and their Mirrors
• Classical theta constants vs. lattice theta series, and super string partition functions
• More on superstring chiral measures
• Extending the Belavin-Knizhnik "wonderful formula" by the characterization of the Jacobian
• Equidistribution Rates, Closed String Amplitudes, and the Riemann Hypothesis
• Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
• Uniformization, Unipotent Flows and the Riemann Hypothesis
• Finite Strings From Non-Chiral Mumford Forms
• Eluding SUSY at every genus on stable closed string vacua
• Construction of chiral superstring measure
• Singular Spin Structures and Superstrings