Universal properties of type IIB and F-theory flux compactifications at large complex structure

DOI10.1007/JHEP03(2016)064zbMATH Open1388.83682arXiv1512.08549WikidataQ58828885 ScholiaQ58828885MaRDI QIDQ1638386

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Publication date: 12 June 2018

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Abstract: We consider flux compactifications of type IIB string theory and F-theory in which the respective superpotentials at large complex structure are dominated by cubic or quartic terms in the complex structure moduli. In this limit, the low-energy effective theory for the complex structure and axio-dilaton sector exhibits universal properties that are insensitive to the details of the compactification manifold or the flux configuration. We show that there are no vacua in this region and the spectrum of the Hessian matrix is highly peaked and consists only of three distinct eigenvalues ($0$, $2m_{3/2}^2$ and $8m_{3/2}^2$), independently of the number of moduli. We briefly comment on how the inclusion of K"ahler moduli affect these findings. Our results generalise those of Brodie & Marsh [1], in which these universal properties were found in a subspace of the large complex structure limit of type IIB compactifications.

Full work available at URL: https://arxiv.org/abs/1512.08549

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