TL;DR
This paper constructs supergravity solutions for fractional D3-branes in various backgrounds, analyzing gauge couplings, and explores interpolations between different brane configurations including lifts to M-theory.
Contribution
It provides new supergravity solutions for fractional D3-branes on orientifolded orbifolds and Taub-NUT spaces, linking them to M-theory wrapped M5-branes.
Findings
Reproduces one-loop corrected gauge couplings on D-brane world-volumes.
Constructs a D3-brane solution interpolating between fractional branes and smeared configurations.
Lifts solutions to M-theory, connecting to wrapped M5-branes.
Abstract
In the first part of this article, we find fractional D3-branes supergravity solutions on orientifolded C^2/Z_2 orbifolds of type IIB string theory. The one-loop corrected gauge couplings for the symplectic or orthogonal groups living on the D-branes are reproduced on the world-volume of probes. In the second part of the paper, we construct a D3-brane solution on the two-centers Taub-NUT manifold which interpolates between fractional D3-branes in the ALE space limit and a T-dual smeared type IIA configuration. Then, we lift this configuration to M-theory and comment on the connections with wrapped M5-branes solutions.
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