论文标题

IIB型通量压缩的质谱 - 对ADS真空和保形尺寸的评论

Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions

论文作者

Plauschinn, Erik

论文摘要

在本说明中,我们研究了IIB型通量压缩的质谱。我们首先对四维n = 1个超级重力理论的F端真空的质量矩阵进行了一般讨论,然后在存在几何和非几何通量的情况下专门研究IIB calabi-yau Erientifold压缩。在此设置中,F-Term Vacua通常是ADS $ _4 $真空吸尘器,我们为标量字段的双重二重奏计算了操作员的共形尺寸。对于DGKT结构的镜偶,我们发现对复杂结构模量空间的一环校正会导致真实价值的共形尺寸 - 只有当忽略这些校正时,我们才能恢复文献中先前报道的整数值。对于磁通配置的示例比DGKT镜更通用,我们还获得了非直觉的共形尺寸。此外,我们认为在模量空间的渐近区域中稳定模量意味着至少有一个质量特征值分歧。

In this note we study the mass spectrum of type IIB flux compactifications. We first give a general discussion of the mass matrix for F-term vacua in four-dimensional N=1 supergravity theories and then specialize to type IIB Calabi-Yau orientifold compactifications in the presence of geometric and non-geometric fluxes. F-term vacua in this setting are in general AdS$_4$ vacua for which we compute the conformal dimensions of operators dual to the scalar fields. For the mirror-dual of the DGKT construction we find that one-loop corrections to the complex-structure moduli space lead to real-valued conformal dimensions - only when ignoring these corrections we recover the integer values previously reported in the literature. For an example of a flux configurations more general than the DGKT mirror we also obtain non-integer conformal dimensions. Furthermore, we argue that stabilizing moduli in asymptotic regions of moduli space implies that at least one of the mass eigenvalue diverges.

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