New families of interpolating type IIB backgrounds

TL;DR

This paper constructs new two-parameter interpolating solutions in type IIB supergravity involving D3-D5 brane systems on complex six-dimensional manifolds, revealing topology changes and supersymmetry variations.

Contribution

It introduces novel interpolating solutions with two parameters, connecting different D-brane configurations and fluxes, and analyzes their supersymmetry and regularity properties.

Findings

Solutions interpolate between D5-brane only and topology-changing configurations.

Regularity established for N=2 supersymmetric solutions.

Demonstrates supersymmetry depends on connection choices on the torus fiber.

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 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 N=2 or N=1 supersymmetry. In the N=2 case it can be shown that the solutions are regular.