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arXiv · hep-th/9904113

Candidates for anti-de Sitter Horizons

Koushik Ray
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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.

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Koushik Ray. 1999-04-15. Candidates for anti-de Sitter Horizons. https://doi.org/10.1088/1126-6708%2F1999%2F06%2F008

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