Two-Loop Superstrings in Hyperelliptic Language II: the Vanishing of the Cosmological Constant and the Non-Renormalization Theorem

Details Two-Loop Superstrings in Hyperelliptic Language II: the Vanishing of the Cosmological Constant and the Non-Renormalization Theorem Two-Loop Superstrings in Hyperelliptic Language II: the Vanishing of the Cosmological Constant and the Non-Renormalization Theorem

2002-12-17

arxiv.org/abs/hep-th/0212198v2

Nucl.Phys. B663 (2003) 79-94

Physics

High Energy Physics

High Energy Physics - Theory

v1, LaTex file, 20 pages; v2, 21 pages, add references and minor corrections

Scientific paper

10.1016/S0550-3213(03)00380-8

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.

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