2000/12/31 by G. Papadopoulos, A.A. Tseytlin, A. A. Tseytlin
Physics and Astronomy · #Action (physics) #Ansatz #Black Holes and Theoretical Physics #Brane #Brane cosmology #Cosmology and Gravitation Theories #Mathematical physics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Quantum mechanics #Supergravity #Superpotential #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1088/0264-9381/18/7/315
published as Class.Quant.Grav.18:1333-1354,2001 · 26 pages, latex. misprints in eq.(3.10) corrected
openalex publication_date 2001/03/19 · arxiv created 2004/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate solutions of type II supergravity which have the product 1,3 × M 6 structure with non-compact M 6 factor and which preserve at least four supersymmetries. In particular, we consider various conifolds and the N = 1 supersymmetric `NS5-brane wrapped on a 2-sphere' solution recently discussed in hep-th/0008001. In all of these cases, we explicitly construct the complex structures, and the Kähler and parallel (3,0)-forms of the corresponding M 6 . In addition, we verify that the above solutions preserve, respectively, eight and four supersymmetries of the underlying type II theory. We also demonstrate that the ordinary and fractional D3-brane (5-brane wrapped on a 2-cycle) solutions on singular, resolved and deformed conifolds, and the ( S -dual of) NS5-brane wrapped on 2-sphere can be obtained as special cases from a universal ansatz for the supergravity fields, i.e. from a single one-dimensional action governing their radial evolution. We show that like the 3-branes on conifolds, the NS5-brane on a 2-sphere background can be found as a solution of a first-order system following from a superpotential.