Open AccessCandidates for anti-de Sitter-horizons
Author(s) -
Koushik Ray
Publication year - 1999
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/1999/06/008
Subject(s) - gravitational singularity , moduli space , string theory , anti de sitter space , pure mathematics , context (archaeology) , mathematics , de sitter space , einstein , space (punctuation) , foliation (geology) , limit (mathematics) , base (topology) , string (physics) , physics , mathematical physics , de sitter universe , mathematical analysis , universe , computer science , quantum mechanics , paleontology , geochemistry , metamorphic rock , biology , geology , operating system
We find, from the toric description of the moduli space of D3-branes onnon-compact six-dimensional singularities $\C^3/\Z_3$ and $\C^3/\Z_5$ in theblown-down limit, the four-dimensional bases on which these singular spaces arecomplex cones, and prove the existence of K\"ahler-Einstein metrics on thesefour-dimensional bases. This shows, in particular, that one can use thehorizons obtained from these base spaces by a U(1)-foliation as compact partsof the target space for Type-IIB string theory with $\ads{5}$ in the context ofthe AdS-CFT correspondence.Comment: 16 pages, LATEX2e. Uses times, eepic, amsmath and amssym
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