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arXiv 0910.0180hep-thgr-qc
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超弦理论中的三能级高阶引力耦合

On tree-level higher order gravitational couplings in superstring theory

S. Stieberger

备注：
4 pages, RevTeX 4.1; v2: Results and discussion extended by the order alpha'^8. Again, no even zeta values occur at this order excluding curvature contact terms with MZV coefficients zeta(8), zeta(2) zeta(3)^2 and zeta(5,3), respectively; v3: streamlined and final version to appear in Physical Review Letters
发表信息：
Phys.Rev.Lett.106:111601,2011
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摘要：

在超弦理论中，我们考虑了树能级上五个和六个引力子的散射振幅。我们分析了它们在雷奇斜率α '中的幂级数展开式，通过α'级^[8]，我们发现在有效超弦作用量中，高阶引力耦合存在一些有趣的约束，比如没有R^5项。此外，我们还观察到了非零耦合系数的某些超越性约束：不存在α ^8阶的偶权zeta值，就像不存在zeta（2）zeta（3）R^6项一样。我们的分析是有效的任何超弦背景中的任何时空维，这允许一个共形场论描述。

英文摘要：

We consider the scattering amplitudes of five and six gravitons at tree-level in superstring theory. Their power series expansions in the Regge slope alpha' are analyzed through the order alpha'^8 showing some interesting constraints on higher order gravitational couplings in the effective superstring action like the absence of R^5 terms. Furthermore, some transcendentality constraints on the coefficients of the non-vanishing couplings are observed: the absence of zeta values of even weight through the order alpha'^8 like the absence of zeta(2) zeta(3) R^6 terms. Our analysis is valid for any superstring background in any space-time dimension, which allows for a conformal field theory description.

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