Abstract
We construct new families of interpolating two-parameter solutions of type IIB supergravity. These correspond to D3-D5 systems on non-compact six-dimensional manifolds which are \(\mathbb{T}^{2} \) fibrations over Eguchi-Hanson and multi-center Taub-NUT spaces, respectively. One end of the interpolation corresponds to a solution with only D5 branes and vanishing NS three-form flux. A topology changing transition occurs at the other end, where the internal space becomes a direct product of the four-dimensional surface and the two-torus and the complexified NS-RR three-form flux becomes imaginary self-dual. Depending on the choice of the connections on the torus fibre, the interpolating family has either \(\mathcal{N}=2 \) or \(\mathcal{N}=1 \) supersymmetry. In the \(\mathcal{N}=2 \) case it can be shown that the solutions are regular.
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ArXiv ePrint: 0907.5147
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Minasian, R., Petrini, M. & Zaffaroni, A. New families of interpolating type IIB backgrounds. J. High Energ. Phys. 2010, 80 (2010). https://doi.org/10.1007/JHEP04(2010)080
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DOI: https://doi.org/10.1007/JHEP04(2010)080