Complex geometry of conifolds and a 5-brane wrapped on a 2-sphere

By Georgios Papadopoulos, A. Tseytlin. 2000

165 citations recorded by the source corpus.

We investigate solutions of type II supergravity which have the product ℝ1,3×M6 structure with non-compact M6 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 M6. 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d26e87beace01c0dca330dc278d5385d8eca8551

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Citations in the corpus

Lifshitz solutions of D=10 and D=11 supergravity (2010, background): “It is highly likely that one can substantially extend this construction, probably consistent with supersymmetry, (see [33]-[42]).”
Superstrings with intrinsic torsion (2003, background): “The solutions found in [38] are of this type (see [39] for an explicit discussion).”
Fivebranes wrapped on SLAG three-cycles and related geometry (2001, background): “It was shown in [23] that the geometry found in [2] admits just one complex structure that is covariantly constant with respect to one of the connections with torsion.”
The baryonic branch of Klebanov-Strassler solution: a supersymmetric family of SU(3) structure backgrounds (2004, methodology): “In [10] Papadopoulos and Tseytlin (PT) proposed an ansatz for IIB solutions with fluxes involving a generalization of the conifold metric [22].”
Meson spectroscopy from holomorphic probes on the warped deformed conifold (2004, methodology): “We find it useful to re-write the metric and the forms of the model in terms of the SU(2) invariant 1-forms used in [34].”
Symmetry breaking and axionic strings in the warped deformed conifold (2004, methodology): “To gain confidence in this differential equation for z(τ), we rederived it using the 1d effective action of PT [18].”