Kinetic terms in warped compactifications
Kinetic terms in warped compactifications
复制标题
扭曲致密化中的动力学项
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
G. Torroba
中科院分区：
文献类型：
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作者：
Michael R Douglas;G. Torroba
我们发展的形式主义计算的动力学项的四维领域的弦紧化，特别是与翘曲。借助哈密顿方法，我们确定了紧化流形上依赖于翘曲因子的规范依赖内积。结果表明，动力学项与每个规范轨道上的内积的最小值有关。我们求出了具有通量的变形锥的复模的动力学项，即嵌入紧致卡-丘流形中的Klebanov-Strassler解。以前的幂型发散的结果被定性地证实了（动力学项确实包含翘曲的主要影响），但没有定量地证实（正确的结果相差一个一阶系数）。
We develop formalism for computing the kinetic terms of 4d fields in string compactifications, particularly with warping. With the help of the Hamiltonian approach, we identify a gauge dependent inner product on the compactification manifold which depends on the warp factor. It is shown that kinetic terms are associated to the minimum value of the inner product over each gauge orbit. We work out the kinetic term for the complex modulus of a deformed conifold with flux, i.e. the Klebanov-Strassler solution embedded in a compact Calabi-Yau manifold. Earlier results of a power-like divergence are confirmed qualitatively (the kinetic term does contain the main effect of warping) but not quantitatively (the correct results differ by an order one coefficient).