Integrability in String Theories
arXiv:physics/0604016
Abstract
The solution term by term to the scattering of all consistent string theories is given. The moduli space of M-theory is derived and connects the various string theories. The solutions contain both the perturbative and non-perturbative sectors of the string. Modular forms found by differential equations on subspaces of the M-theory moduli space and transfinite algebras play an essential role in deriving the coefficients. Various results and identities in algebra are found from the explicit solution. Archetypes and models are presented in accord with phenomenology and cosmology.
48 pages, LaTeX, 3 figures
References in corpus (35)
- Non-Perturbative Superpotentials In String Theory
- Some Comments On String Dynamics
- Small Instantons and Tensionless Non-critical Strings
- Supersymmetry Constraints on Type IIB Supergravity
- Duality and higher derivative terms in M theory
- Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function
- Two loops in eleven dimensions
- The low energy expansion of the one-loop type II superstring amplitude
- Superpotentials and Membrane Instantons
- Two-loop superstrings and S-duality
- Fivebrane Instantons and couplings in String Theory
- Two-Loop Superstrings V: Gauge Slice Independence of the N-Point Function
- Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to Four Dimensions
- Chirality Changing Phase Transitions in 4d String Vacua
- Type IIB Conjectures
- Asyzygies, modular forms, and the superstring measure II
- S and U-duality Constraints on IIB S-matrices
- On the finiteness of N=8 quantum supergravity
- (0,2) Noncritical Strings in Six Dimensions
- M-theory and automorphic scattering
- Scalar Field Theory in the Derivative Expansion
- Gauge Theories in the Derivative Expansion
- Quantum Gravity with the Standard Model
- Perturbative Relationships Between QCD and Gravity and Some Implications
- Quantum Gauge Theory Amplitude Solutions
- Masses and Interactions in Quantum Chromodynamics
- Tree Amplitudes in Scalar Field Theories
- Quantum Solution to Scalar Field Theory Models
- Mass Patterns in the Fermion Spectrum
- Derivation of QFT Dynamics
- Program for IIB Derivative Corrections
- Tree Amplitudes in Gauge and Gravity Theories
- Symmetry Algebra of IIB Superstring Scattering
- N=4 S-duality Compliant Scattering and within the AdS/CFT Duality
- N=4 Supersymmetric Gauge Theory in the Derivative Expansion