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A 4D IIB Flux Vacuum and Supersymmetry Breaking. I. Fermionic Spectrum
- Publication Year :
- 2022
-
Abstract
- We consider the type-IIB supergravity vacua that include an internal $T^5$, depend on a single coordinate $r$ and respect a four-dimensional Poincar\'e symmetry, with the aim of highlighting low-energy spectra with broken supersymmetry and a bounded string coupling. These vacua are characterized by the flux $\Phi$ of the self-dual five form in the internal torus, the length $\ell$ of the interval described by the coordinate $r$, a dilaton profile that is inevitably constant and a strictly positive dimensionless parameter $h$. As $\ell\rightarrow\infty$ while retaining finite values for $\Phi$ and $\ell \,h^{-\,\frac{5}{4}}$, half of the original ten-dimensional supersymmetry is recovered, while finite values of $\ell$ break it completely. In the large-$\ell$ limit one boundary disappears but the other is still present, and is felt as a BPS orientifold by a probe brane. In this paper we focus on the fermionic zero modes and show that, although supersymmetry is broken for finite values of $\ell$, they are surprisingly those of four-dimensional $N=4$ supergravity coupled to five vector multiplets. The gravitini can acquire masses via radiative corrections, absorbing four of the massless spin-$\frac{1}{2}$ modes.<br />Comment: 63 pages, LaTeX, 3 eps figures. Minor clarifications added. Final version to appear in JHEP
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2206.03340
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP08(2022)301