Supergravity Flows and D-brane Stability

By Frederik Denef. 2000

590 citations recorded by the source corpus.

We investigate the correspondence between existence/stability of BPS states in type-II string theory compactified on a Calabi-Yau manifold and BPS solutions of four-dimensional N = 2 supergravity. Some paradoxes emerge, and we propose a resolution by considering composite configurations. This in turn gives a smooth effective field theory description of decay at marginal stability. We also discuss the connection with 3-pronged strings, the Joyce transition of special lagrangian submanifolds, and Π-stability.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/accc4a553d6f4ebfe102e683d8bbd062ce98113f

How researchers see this paper

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

In Geometry and Topology

1. Ashoke Sen
2. C. Vafa
3. Frederik Denef
4. G. Moore
5. K. Hori
6. P. Aspinwall
7. Clay Córdova
8. B. Pioline

In Nuclear and High Energy Physics

1. Ashoke Sen
2. Frederik Denef
3. N. Warner
4. I. Bena
5. G. Moore
6. Eran Palti
7. C. Vafa
8. B. Pioline

In Statistical and Nonlinear Physics

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

Citations in the corpus

• The weak gravity conjecture and scalar fields (2017, background): “17) where W is a real function, termed the ‘fake superpotential’, then the ADM mass is given by MADM = W|∞ and on the horizon the fields solve ∂iW = 0 [37,38].”
• Split attractor flows and the spectrum of BPS D-branes on the quintic (2001, background): “|Zm| = 0 and zm is a singular (or boundary) point in moduli space: in this case the arguments of (2) for nonexistence fail, and indeed well-behaved solutions may exist, like for example the repulson-resolving empty hole solutions of [24], arising from flows attracted to a conifold locus.”
• D-instantons and twistors (2008, unknown): “and also takes place in N = 2 supergravity theories, where it has a macroscopic description in terms of multi-centered black hole configurations [79]: as the LMS is approached from one side, the distance between the centers diverges and the configuration becomes unbound.”
• D-branes, categories and N=1 supersymmetry (2000, background): “A very similar discussion can be made for the “mysterious” bound state |10000〉 discussed in [17,13], which exists at the Gepner point in the quintic but not at large volume.”
• D-Branes on Calabi-Yau Manifolds (2004, methodology): “ructure on the categories of D-branes, i.e., “distinguished triangles”, that provides further insight into the intrinsic structure of the D-brane categories. Stability of D-Branes was also studied in [98,99] using a quite different method than we employ here. 6.1 A-Branes 6.1.1 Special Lagrangians Th”
• Black hole bound states in AdS(3) x S**2 (2008, methodology): “In [16] a conjecture was motivated whereby the existence of a multicentered solution is equivalent to the existence of an attractor flow tree.”
• Global structure of five-dimensional fuzzballs (2013, background): “As yet there are no general theorems about when smooth, causally well-behaved solutions can be constructed but some heuristic suggestions were made in [13] and a much more specific proposal, called the “split attractor conjecture,” was proposed and investigated in [27, 28].”
• Supergravity microstates for BPS black holes and black rings (2005, methodology): “We will review the Bena-Warner ansatz in section 2 and then in section 3 we will offer a general form for a solution to these equations (a similar set of ansatz appears in [18, 19, 20, 21, 6, 22]) which are obviously smooth everywhere except at some orbifold points and possibly where the base space ”
• Lectures on black holes, topological strings and quantum attractors (2006, unknown): “For k 6= 0, these equations can also be obtained as a special case of the multi-centered geometries studied in [134].”
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012, background): “where the first factor is the degeneracy of the half-BPS magnetic center, the second factor is the partition function of the electric center [39], and the third factor is the partition function counting the dimensions of the SU(2) multiplets with angular momentum (`− 1)/2 contained in the electromag”
• Four dimensional black hole microstates: from D-branes to spacetime foam (2006, unknown): “25) At this juncture, we see that the reduction of our M-theory solutions down to N = 8 supergravity in four dimensions yields a framework similar to the N = 2 setup in [27, 28, 29].”
• Static supersymmetric black holes in AdS4 with spherical symmetry (2010, background): “One can just fix the phase to a particular value and go on to write down the solutions, as originally done in [18], or one can also put explicitly the phase factor in the definition of the sections as done in [21].”
• D-brane Deconstructions in IIB Orientifolds (2008, background): “They are also related to stability conditions of BPS black hole bound states [130, 82].”
• Black holes as effective geometries (2008, methodology): “The actual flow of the moduli t( x) for a multicentred solution will then be a thickening of this graph (see [33, 35] for more details).”