Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
Jun, 2011
68 pages
Published in:
- Nucl.Phys.B 873 (2013) 461-513
- Published: Aug 21, 2013
e-Print:
- 1106.2646 [hep-th]
Report number:
- AEI-2011-35,
- MPP-2011-65
View in:
Citations per year
Abstract: (Elsevier)
Using the pure spinor formalism in part I (Mafra et al., preprint [1]) we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian hypergeometric function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple hypergeometric functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Grobner basis analysis provides independent sets of rational functions in the Euler integrals.Note:
- 68 pages, harvmac TeX
- string: effect
- string: open
- scattering amplitude: Yang-Mills
- kinematics
- tree approximation
- string model
- monodromy
- capture
- spinor
- n-point function
References(55)
Figures(0)
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