English

Matter Coupled AdS_3 Supergravities and Their Black Strings

High Energy Physics - Theory 2009-10-31 v2 General Relativity and Quantum Cosmology

Abstract

We couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS_3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U(1) and parametrize certain Kahler manifolds with compact or non-compact isometries. The radii of these manifolds are quantized in the compact case, but arbitrary otherwise. In the compact case, we find half-supersymmetry preserving and asymptotically Minkowskian black string solutions. For a particular value of the scalar manifold radius, the solution coincides with that of Horne and Horowitz found in the context of a string theory in 2+1 dimensions. In the non-compact case, we find half-supersymmetry preserving and asymptotically AdS_3 string solutions which have naked singularities. We also obtain two distinct AdS_3 supergravities coupled to n copies of N=(1,0) scalar multiplets either by the truncation of the (2,0) model or by a direct construction.

Keywords

Cite

@article{arxiv.hep-th/9908089,
  title  = {Matter Coupled AdS_3 Supergravities and Their Black Strings},
  author = {N. S. Deger and A. Kaya and E. Sezgin and P. Sundell},
  journal= {arXiv preprint arXiv:hep-th/9908089},
  year   = {2009}
}

Comments

20 pages, latex, typos corrected in Sec. 4

R2 v1 2026-07-22T16:16:52.099Z