Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-07
JHEP 9906 (1999) 011
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, the introduction (2.5 pages) is a comprehensive summary including the main result
Scientific paper
10.1088/1126-6708/1999/06/011
In this note we derive an explicit modular invariant formula for the two loop 4-point amplitude in superstring theory in terms of a multiple integral (7 complex integration variables) over the complex plane which is shown to be convergent. We consider in particular the case of the leading term for vanishing momenta of the four graviton amplitude, which would correspond to the two-loop correction of the R^4 term in the effective Action. The resulting expression is not positive definite and could be zero, although we cannot see that it vanishes.
Iengo Roberto
Zhu Chuan-Jie
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