New connections between 4D and 5D black holes

By D. Gaiotto, Andrew Strominger, Xi Yin. 2005

268 citations recorded by the source corpus.

A simple equality is proposed between the BPS partition function of a general 4D IIA Calabi-Yau black hole and that of a 5D spinning M-theory Calabi-Yau black hole. Combining with recent results then leads to a new relation between the 5D spinning BPS black hole partition function and the square of the N = 2 topological string partition function.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/28a882f78d85cb1232acbfdb69aa489ceb6bff5f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ashoke Sen
2. N. Warner
3. I. Bena
4. Frederik Denef
5. B. Pioline
6. S. Trivedi
7. A. Dabholkar
8. S. El-Showk

In Nuclear and High Energy Physics

1. Ashoke Sen
2. B. Pioline
3. N. Warner
4. I. Bena
5. Frederik Denef
6. A. Dabholkar
7. G. Moore
8. S. Trivedi

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. B. Pioline
3. N. Warner
4. I. Bena
5. A. Dabholkar
6. Frederik Denef
7. G. Moore
8. S. Trivedi

Citations in the corpus

• Black hole entropy function, attractors and precision counting of microstates (2007, background): “Thus near the origin the contribution to the j0 charge can be identified as the sum of the angular momentum in the 1-2 and 3-4 planes [160].”
• 5D black rings and 4D black holes (2005, background): “This result fortifies and enriches the 4D-5D connection proposed in [1], and will also clearly have implications for our understanding of the topological string.”
• Recounting Dyons in N=4 String Theory (2005, methodology): “By lifting this to M-theory on Taub-NUT, it was argued in [1] that the BPS states of this system are the same as those of a 5D black hole in a K3 × T 2 compactification, with T 2-wrapped M2 charge 1 2q 2 m, K3-wrapped M2 charge qA and angular momentum JL = q0/2.”
• Dying dyons don't count (2007, result): “formula was revived about two years ago in the context of higher-order curvature corrections to the entropy [2]. Subsequently, the formula was given a proper derivation [3] using the 4D-5D connection [4] (See also [5] for a toroidal example) and the known results for the microscopic counting of ve-d”
• Quantum black holes, localization, and the topological string (2010, background): “We would like to add that in several cases such as small black holes and big black holes in models with N = 4 supersymmetry, exact microscopic degeneracies are known [63, 64, 65, 66, 67, 68].”
• Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions (2007, background): “Let us recall that the latter is obtained by considering the (commuting) actions of the unitary group and symmetric group U(N) × Sk ⊂ U(Nk) on the vector space CNk, regarded as the k-th tensor product of the fundamental representation CN .”
• Split states, entropy enigmas, holes and halos (2007, background): “The general uplift of arbitrary multicentered IIA/CY3 solutions to M-theory has been discussed in [70, 71, 72, 73], generalizing [74, 75, 76, 77, 78, 79] and relating some of these solutions in four dimensions to the multi-black hole/black ring and “bubbling” solutions in five dimensions studied e.”
• Black Holes, Qubits and Octonions (2008, background): “Indeed there exists a 5D/4D black hole correspondence that relates the two but involves black holes carrying angular momentum and Taub-NUT charge [231,232].”
• Black holes as effective geometries (2008, background): “22 As described in [15] this would also imply that the four-dimensional metric associated with this 5D solution (via the 4D/5D connection of [63]) becomes imaginary as appears directly in the former.”
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012, methodology): “on: Z(˝;z;˙) = 1 10(˝;z;˙) = Zb(˝;z;˙) ’ 10;1(˝;z) : (5.15) This relation to the elliptic genera of symmetric products of K3 has a deeper physical signicance based on what is known as the 4d-5d lift [60]. The main idea is to use the fact that the geometry of the Kaluza-Klein monopole in the charge c”
• Bubbling supertubes and foaming black holes (2005, methodology): “We see therefore that the interpolation between Taub-NUT and R(4) is not only a good tool to obtain the microscopic description of black rings and black holes [47,27], but is also useful in understanding their singularity resolution.”
• Black hole bound states in AdS(3) x S**2 (2008, methodology): “Generically a D4 charged center will lift to a black string unless it also caries D6-charge in which case it lifts to what locally looks like a BMPV black hole at the center of 5 dimensional Taub-NUT [20].”
• Four dimensional black hole microstates: from D-branes to spacetime foam (2006, methodology): “A similar procedure, of placing five dimensional solutions in Taub-Nut, has been used to relate five dimensional black holes and rings to four dimensional black holes [22, 23].”
• Quantizing N = 2 multicenter solutions (2008, background): “Let us briefly recall, once more, that these four-dimensional solutions can be uplifted to five-dimensions [25].”
• Black hole microstates and attractor without supersymmetry (2006, background): “this black hole can be computed directly, but can also be related to the entropy of a four dimensional black hole [68, 69] by taking the space transverse to the brane to be TaubNUT space.”
• Lectures on black holes, topological strings and quantum attractors (2006, background): “The remaining factors of p are accounted for by taking into account the R(4)/Zp0 singularity at the origin of TN [54].”