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arXiv 1204.0807hep-th
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从α '-修正讨论宇宙学常数

On Cosmological Constants from alpha'-Corrections

Friðrik Freyr Gautason, Daniel Junghans, Marco Zagermann

摘要:

我们研究了在扭曲弦紧化中微扰α '-修正能在多大程度上产生一个小的宇宙学常数。在弦环展开中,我们把注意力集中在最低阶的杂合弦上,证明了对于最大对称时空,α '校正的四维标量势对宇宙学常数没有影响。唯一相关的条款,而不是高阶产品的四维黎曼张量,其中,然而,被发现消失在通常的微扰制度的α '-展开。因此,杂合弦只允许4D闵可夫斯基真空到α '中的所有阶,除非还引入弦环和/或非微扰校正,或者允许弦单位中大的曲率或场强。特别地,我们发现微扰α '效应不能诱导弱弯曲的AdS_4解.

英文摘要:

We examine to what extent perturbative alpha'-corrections can generate a small cosmological constant in warped string compactifications. Focusing on the heterotic string at lowest order in the string loop expansion, we show that, for a maximally symmetric spacetime, the alpha'-corrected 4D scalar potential has no effect on the cosmological constant. The only relevant terms are instead higher order products of 4D Riemann tensors, which, however, are found to vanish in the usual perturbative regime of the alpha'-expansion. The heterotic string therefore only allows for 4D Minkowski vacua to all orders in alpha', unless one also introduces string loop and/or nonperturbative corrections or allows for curvatures or field strengths that are large in string units. In particular, we find that perturbative alpha'-effects cannot induce weakly curved AdS_4 solutions.

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