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• W2073194963 abstract "We formulate a refined version of the Ooguri-Strominger-Vafa (OSV) conjecture. The OSV conjecture that Z BH = |Z top |2 relates the BPS black hole partition function to the topological string partition function Z top. In the refined conjecture, Z BH is the partition function of BPS black holes counted with spin, or more precisely the protected spin character. Z top becomes the partition function of the refined topological string, which is itself an index. Both the original and the refined conjecture are examples of large N duality in the ’t Hooft sense. The refined conjecture applies to non-compact Calabi-Yau manifolds only, so the black holes are really BPS particles with large entropy, of order N 2. The refined OSV conjecture states that the refined BPS partition function has a large N dual which is captured by the refined topological string. We provide evidence that the conjecture holds by studying local Calabi-Yau threefolds consisting of line bundles over a genus g Riemann surface. We show that the refined topological string partition function on these geometries is computed by a two-dimensional TQFT. We also study the refined black hole partition function arising from N D4 branes on the Calabi-Yau, and argue that it reduces to a (q, t)-deformed version of two-dimensional SU(N ) Yang-Mills. Finally, we show that in the large N limit this theory factorizes to the square of the refined topological string in accordance with the refined OSV conjecture." @default.
• W2073194963 created "2016-06-24" @default.
• W2073194963 creator A5010208408 @default.
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• W2073194963 date "2013-01-01" @default.
• W2073194963 modified "2023-09-25" @default.
• W2073194963 title "Refined black hole ensembles and topological strings" @default.
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• W2073194963 doi "https://doi.org/10.1007/jhep01(2013)060" @default.
• W2073194963 hasPublicationYear "2013" @default.
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