Candidates for anti-de Sitter Horizons
arXiv:hep-th/9904113 · doi:10.1088/1126-6708/1999/06/008
Abstract
We find, from the toric description of the moduli space of D3-branes on non-compact six-dimensional singularities $\C^3/\Z_3$ and $\C^3/\Z_5$ in the blown-down limit, the four-dimensional bases on which these singular spaces are complex cones, and prove the existence of Kähler-Einstein metrics on these four-dimensional bases. This shows, in particular, that one can use the horizons obtained from these base spaces by a U(1)-foliation as compact parts of the target space for Type-IIB string theory with $\ads{5}$ in the context of the AdS-CFT correspondence.
16 pages, LATEX2e. Uses times, eepic, amsmath and amssymb