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Exact Black Hole Degeneracies and the Topological String
High Energy Physics - Theory · Submitted 24 Aug 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose a minimal modification of the OSV conjecture, in which these differences are understood as a nontrivial measure factor for the topological string.
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The abstract, sentence by sentence
Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-canonical partition function of BPS black holes in N=4 and N=8 string theories, to all orders in perturbation theory. Not only are the black hole partition functions surprisingly simple; they capture the full topological string amplitudes, as expected from the OSV conjecture. The agreement is not perfect, however, as there are differences between the black hole and topological string partition functions even at the perturbative level. We propose a minimal modification of the OSV conjecture, in which these differences are understood as a nontrivial measure factor for the topological string.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-canonical partition function of BPS black holes in N=4 and N=8 string theories, to all orders in perturbation theory. | contribution 1.00 | 0.95 | 0.07 | asserted 1.00 |
| s1 | Not only are the black hole partition functions surprisingly simple; they capture the full topological string amplitudes, as expected from the OSV conjecture. | result 0.82 | 0.75 | 0.35 | asserted 1.00 |
| s2 | The agreement is not perfect, however, as there are differences between the black hole and topological string partition functions even at the perturbative level. | result 0.61 | 0.80 | 0.10 | asserted 1.00 |
| s3 | We propose a minimal modification of the OSV conjecture, in which these differences are understood as a nontrivial measure factor for the topological string. | contribution 0.61 | 0.76 | 0.75 | speculative 0.46 |
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The paper
Original abstract
Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-canonical partition function of BPS black holes in N=4 and N=8 string theories, to all orders in perturbation theory. Not only are the black hole partition functions surprisingly simple; they capture the full topological string amplitudes, as expected from the OSV conjecture. The agreement is not perfect, however, as there are differences between the black hole and topological string partition functions even at the perturbative level. We propose a minimal modification of the OSV conjecture, in which these differences are understood as a nontrivial measure factor for the topological string.
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References
How the literature uses it
39 arXiv papers cite this in 61 sentences
Papers citing it · 40 sentences without a confident label
Uses its method or tool 1 paper
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In particular for a class of $=4$ supersymmetric string theories in four dimensions one can use Wald's formula [ref] adapted to BPS black holes [ref] for computing higher derivative corrections to the black hole entropy, and the results are in remarkable agreement with the microscopic results [ref] .
Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions · Introduction · 0.83
Uses its data or values 1 paper
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This was evaluated in [ref] , yielding the answer[The $(-1)^Q·P$ factor in eqs.ek4.1, ek5 relating the index to the partition function has the same origin as in the case of $=4$ supersymmetric string theories [ref] and will not be discussed here.] ∑_k≥1 ∑_l≥0 ∑_j∈ ( 1- e^2πi (l+ k+j))^-2 e^2πi (l+ k+j) c(4k l - j^2) , where $c(u)$ has been defined in eq.ek6.5.
N=8 Dyon Partition Function and Walls of Marginal Stability · Introduction · 0.88
Compares with it 1 paper
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In two previous papers [ref] we used the quantum entropy function to compute logarithmic corrections to the entropy of 1/8 BPS and 1/4 BPS black holes in $=8$ and $=4$ supersymmetric string theories respectively and found results in perfect agreement with the microscopic results of [ref] .
Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates · Introduction · 0.82
Cites it as background 17 papers
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Exact microscopic counting of BPS states, including the dependence of the spectrum on the asymptotic moduli, has now been achieved for a wide class of states in $=8$ supersymmetric string theories [ref] and a wide class of $=4$ supersymmetric string theories [ref] in four dimensions.
Black Hole Bound State Metamorphosis · Introduction · 0.96
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Introduction: Since the original proposal of Dijkgraaf, Verlinde and Verlinde [ref] for quarter BPS dyon spectrum in heterotic string theory compactified on $T^6$, there has been extensive study of dyon spectrum in a variety of $=4$ supersymmetric string theories [ref] and also in $=8$ and $=2$ supersymmetric string theories [ref] .
Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6 · Introduction · 0.99
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The partition function of quarter BPS dyons is now known in a variety of $=4$ supersymmetric string theories [ref] .
Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two · Introduction · 0.98
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