Two-Loop Superstrings in Hyperelliptic Language II: the Vanishing of the Cosmological Constant and the Non-Renormalization Theorem
arXiv:hep-th/0212198 · doi:10.1016/S0550-3213(03)00380-8
Abstract
The vanishing of the cosmological constant and the non-renormali-zation theorem are verified at two loops by explicit computation using the hyperelliptic language and the newly obtained chiral measure of D'Hoker and Phong. A set of identities is found which is used in the verification of the non-renormalization theorem and leads to a great simplification of the calculation of the four-particle amplitude at two loops.
v1, LaTex file, 20 pages; v2, 21 pages, add references and minor corrections
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- Two-loop superstrings and S-duality
- Super-Poincare Covariant Two-Loop Superstring Amplitudes
- Two-Loop Superstrings V: Gauge Slice Independence of the N-Point Function
- Superstring Scattering Amplitudes with the Pure Spinor Formalism
- Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory
- Higher genus superstring amplitudes from the geometry of moduli spaces
- Four-Point One-Loop Amplitude Computation in the Pure Spinor Formalism
- Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes
- Two-Loop Superstrings on Orbifold Compactifications
- On the Construction of Asymmetric Orbifold Models
- Two-Loop Superstrings in Hyperelliptic Language I: the Main Results
- Two-Loop Superstrings in Hyperelliptic Language III: the Four-Particle Amplitude
- Symmetry Algebra of IIB Superstring Scattering
- Two-Loop Computation in Superstring Theory