Resolution of Overlapping Branes

Details Resolution of Overlapping Branes Resolution of Overlapping Branes

2002-02-13

arxiv.org/abs/hep-th/0202075v2

Phys.Lett. B534 (2002) 155-162

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages, typo corrected, references added, resolved D4-brane wrapped on S^1 added

Scientific paper

10.1016/S0370-2693(02)01615-5

We obtain singularity resolutions for various overlapping brane configurations, including those of two heterotic 5-branes, type II 5-branes or D4-branes. In these solutions, the ``harmonic'' function H for each brane component depends only on the associated four-dimensional relative transverse space. The resolution is achieved by replacing these transverse spaces with Eguchi-Hanson or Taub-NUT spaces, both of which admit a normalisable self-dual (or anti-self-dual) harmonic 2-form. Due to the manner in which the interaction terms for the form fields modify their Bianchi identities or equations of motion, these normalisable harmonic 2-forms provide regular sources for the branes. We also obtain resolved 5-branes and D4-branes wrapped on S^1, which is fibred over the transverse Eguchi-Hanson or Taub-NUT spaces. The T-duality invariance of the NS-NS 5-brane is retained after the resolution. The resolved 5-branes and D4-branes provide regular supergravity duals of certain supersymmetric Yang-Mills theories in five and four dimensions.

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