All order $\alpha^{\prime}$-expansion of superstring trees from the Drinfeld associator - INSPIRE

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All order $\alpha^{\prime}$ -expansion of superstring trees from the Drinfeld associator

Johannes Broedel
(
- Zurich, ETH
)
,
Oliver Schlotterer
(
- Potsdam, Max Planck Inst. and
- Cambridge U., DAMTP
)
,
Stephan Stieberger
(
- Munich, Max Planck Inst.
)
,
Tomohide Terasoma
(
- Tokyo U., Math. Sci.
)

Apr 26, 2013

5 pages

Published in:

Phys.Rev.D 89 (2014) 6, 066014

Published: Mar 24, 2014

e-Print:

1304.7304 [hep-th]

DOI:

10.1103/PhysRevD.89.066014

Report number:

DAMTP-2013-23,
AEI-2013-195,
MPP-2013-120

View in:

ADS Abstract Service

reference search87 citations

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Abstract: (APS)

We derive a recursive formula for the α′ expansion of superstring tree amplitudes involving any number N of massless open string states. String corrections to Yang-Mills field theory are shown to enter through the Drinfeld associator, a generating series for multiple zeta values. Our results apply to any number of spacetime dimensions or supersymmetries and chosen helicity configurations.

Note:

6 pages, LaTeX; v2: Final version to appear in PRD

11.25.-w
02.10.De
superstring: scattering amplitude
superstring: tree approximation
field theory: Yang-Mills
string: correction
string: open
helicity
any-dimensional
string: massless

References(20)

Figures(1)

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