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Motivic Multiple Zeta Values and Superstring Amplitudes

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons49172

Schlotterer,  O.
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1205.1516
(Preprint), 375KB

JoPA_46_47_475401.pdf
(beliebiger Volltext), 560KB

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Zitation

Schlotterer, O., & Stieberger, S. (2013). Motivic Multiple Zeta Values and Superstring Amplitudes. Journal of Physics A: Mathematical and Theoretical, 46(47): 475401. doi:10.1088/1751-8113/46/47/475401.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-A056-6
Zusammenfassung
The structure of tree-level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows to disentangle its alpha'-expansion into several contributions accounting for different classes of multiple zeta values. This form is bolstered by the decomposition of motivic multiple zeta values, i.e. the latter encapsulate the alpha'-expansion of the superstring amplitude. Moreover, a morphism induced by the coproduct maps the alpha'-expansion onto a non-commutative Hopf algebra. This map represents a generalization of the symbol of a transcendental function. In terms of elements of this Hopf algebra the alpha'-expansion assumes a very simple and symmetric form, which carries all the relevant information. Equipped with these results we can also cast the closed superstring amplitude into a very elegant form.