{"arxiv_id":"hep-th/0505094","incoming":{"papers":74,"sentences":97,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1109.3706","title":"Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions","url":"/paper/1109.3706","section":"Introduction","sentence":"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] .","intent_p":0.83,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1906.12287","title":"Exact charges from heterotic black holes","url":"/paper/1906.12287","section":"Corrected charges","sentence":"With respect to the three-charge system, the microscopic entropy is [ref]","intent_p":0.82,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1108.3842","title":"Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates","url":"/paper/1108.3842","section":"Introduction","sentence":"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] .","intent_p":0.82,"contests_p":null},{"arxiv_id":"0905.2686","title":"Supersymmetry, Localization and Quantum Entropy Function","url":"/paper/0905.2686","section":"Introduction","sentence":"In particular for quarter BPS black holes in type IIB string theory on $K3×T^2$ if the contribution to the path integral from some of the saddle points can be expressed as finite dimensional integrals, they can then be compared with the corresponding microscopic results derived in [ref] , providing us with a precision test of the $AdS_2/CFT_1$ correspondence.","intent_p":0.88,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":37,"sentences":40,"quotes":[{"arxiv_id":"2209.13602","title":"Black hole microstate counting from the gravitational path integral","url":"/paper/2209.13602","section":"Introduction","sentence":"In the concrete context of extremal supersymmetric black holes in sectors of fixed charge, a similar question arises [ref] : can the gravitational path integral reproduce the integer degeneracy of such black holes which was computed in string theory [ref] ?","intent_p":0.8,"contests_p":null},{"arxiv_id":"1912.06562","title":"Dyonic black hole degeneracies in $\\mathcal{N} = 4$ string theory from Dabholkar-Harvey degeneracies","url":"/paper/1912.06562","section":"Exact dyonic black hole degeneracies and the attractor region","sentence":"A similar story for generic dyons [ref] should follow along the same lines.] in the above theory are given by a Fourier transform of the inverse of the Igusa cusp form $Φ_10$, the unique automorphic form of weight 10 defined on $Sp(2, )$ [ref] [equation] Here, $𝒞$ indicates a certain contour in the three complex dimensional space spanned by $$, so that the degeneracies on the left-hand side depend on this contour (this dependence has been suppressed in the notation).","intent_p":0.8,"contests_p":null},{"arxiv_id":"1210.4385","title":"Black Hole Bound State Metamorphosis","url":"/paper/1210.4385","section":"Introduction","sentence":"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.","intent_p":0.96,"contests_p":null},{"arxiv_id":"1612.07565","title":"Mock Modular Index of M2-M5 Brane System","url":"/paper/1612.07565","section":"Wall-crossing","sentence":"In the context of black hole microstate counting, the degeneracy of four-dimensional $𝒩=4$ quarter-BPS dyonic black holes with a set of three fixed charges $(m,n,l)$ is given by Fourier coefficients of the partition function, that is a meromorphic Siegel modular form of weight $-10$ [ref] [equation] Here $Φ_10(τ,z,σ)$ is the Igusa cusp form of weight $10$ and $φ_m(τ,z)$ is a meromorphic Jacobi-form of weight $2$ and index $m$.","intent_p":0.84,"contests_p":null},{"arxiv_id":"0802.1556","title":"Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6","url":"/paper/0802.1556","section":"Introduction","sentence":"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] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":53},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/0505094"}}