Resolution of Overlapping Branes

Abstract

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.

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

References in corpus (5)

• New Complete Non-compact Spin(7) Manifolds
• Hyper-Kahler Calabi Metrics, L^2 Harmonic Forms, Resolved M2-branes, and AdS_4/CFT_3 Correspondence
• Supersymmetric Non-singular Fractional D2-branes and NS-NS 2-branes
• Gravity Duals of Fractional Branes in Various Dimensions
• Supersymmetric 3-branes on smooth ALE manifolds with flux

Cited by in corpus (8)

• Superstrings with Intrinsic Torsion
• Supersymmetric AdS_5 solutions of M-theory
• Local Heterotic Torsional Models
• Braneworld localisation in hyperbolic spacetime
• Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
• Black Five-Branes and Fluxbranes on Gravitational Instantons
• Resolving the M2-brane
• Brane Resolution Through Fibration