Finite Strings From Non-Chiral Mumford Forms
arXiv:1209.6351 · doi:10.1007/JHEP11(2012)050
Abstract
We show that there is an infinite class of partition functions with world-sheet metric, space-time coordinates and first order systems, that correspond to volume forms on the moduli space of Riemann surfaces and are free of singularities at the Deligne-Mumford boundary. An example is the partition function with 4=2(c_2+c_3+c_4-c_5) space-time coordinates, a - system of weight 3, one of weight 4 and a beta-gamma system of weight 5. Such partition functions are derived from the mapping of the Mumford forms to non-factorized scalar forms on M_g introduced in arXiv:1209.6049.
arXiv comment12 pp. More results, references added
References in corpus (30)
- Super-Poincare Covariant Quantization of the Superstring
- Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function
- Two-Loop Superstrings I, Main Formulas
- Two-loop superstrings and S-duality
- 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
- Two-Loop Superstrings V: Gauge Slice Independence of the N-Point Function
- String techniques for the calculation of renormalization constants in field theory
- The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
- Modular Forms and Three Loop Superstring Amplitudes
- Asyzygies, modular forms, and the superstring measure II
- Superstring scattering amplitudes in higher genus
- Higher genus superstring amplitudes from the geometry of moduli spaces
- Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes
- Remarks on Superstring amplitudes in higher genus
- Asyzygies, modular forms, and the superstring measure I
- The vanishing of two-point functions for three-loop superstring scattering amplitudes
- Superstring measure and non-renormalization of the three-point amplitude
- Getting superstring amplitudes by degenerating Riemann surfaces
- Two loop superstring amplitudes and S_6 representations
- NSR Superstring Measures Revisited
- Genus four superstring measures
- Lattice Theta Constants vs Riemann Theta Constants and NSR Superstring Measures
- NSR measures on hyperelliptic locus and non-renormalization of 1,2,3-point functions
- More on superstring chiral measures
- Classical theta constants vs. lattice theta series, and super string partition functions
- Extending the Belavin-Knizhnik "wonderful formula" by the characterization of the Jacobian
- Linear relations among holomorphic quadratic differentials and induced Siegel's metric on M_g
- Determinantal Characterization of Canonical Curves and Combinatorial Theta Identities