Two loop superstring amplitudes and S_6 representations

Francesco Dalla Piazza; Sergio Cacciatori

arxiv: 0707.0646 · v2 · submitted 2007-07-04 · ✦ hep-th

Two loop superstring amplitudes and S₆ representations

Sergio Cacciatori , Francesco Dalla Piazza This is my paper

classification ✦ hep-th

keywords functionsloopmodulartheoryadvantagealgebraicamplitudesappearing

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In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D'Hoker and Phong [1]. Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g.

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