Supergravity flows and D-brane stability

Denef, Frederik

doi:10.1088/1126-6708/2000/08/050

Cited by 490 publications

(1,140 citation statements)

References 54 publications

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“…Of course, the spectrum of energies is discrete but this is only evident at subleading orders in 1/N when one accounts for the back reaction of the giant graviton-branes. The question of whether these BPS states with given quantum numbers exist or not has been linked to a walls of stability type description [64] in [45]. It would be interesting to see if these issues can be understood using the methods of this article.…”

Section: Jhep03(2016)156mentioning

confidence: 99%

Anomalous dimensions of heavy operators from magnon energies

Koch

Tahiridimbisoa

Mathwin

2016

J. High Energ. Phys.

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Abstract:We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. Motivated by a geometrical interpretation of the central charges of su(2|2), we propose a simple and minimal all loop expression that interpolates between the anomalous dimensions computed in the gauge theory and energies computed in the dual string theory. The discussion makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language.

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Section: Jhep03(2016)156mentioning

confidence: 99%

Anomalous dimensions of heavy operators from magnon energies

Koch

Tahiridimbisoa

Mathwin

2016

J. High Energ. Phys.

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“…The radial dependence of single-center static supersymmetric black hole solutions [1,2,3,4] in four-dimensional N = 2 supergravity theories at the two-derivative level can be determined by solving a set of first-order differential (flow) equations [5,6,7]. Such solutions are given in terms of harmonic functions [1,3,8,9,10,11].…”

Section: Introductionmentioning

confidence: 99%

First-order flow equations for extremal black holes in very special geometry

Cardoso

Ceresole

Dall’Agata

et al. 2007

J. High Energy Phys.

117

194

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We construct interpolating solutions describing single-center static extremal non-supersymmetric black holes in four-dimensional N = 2 supergravity theories with cubic prepotentials. To this end, we derive and solve first-order flow equations for rotating electrically charged extremal black holes in a Taub-NUT geometry in five dimensions. We then use the connection between five-and four-dimensional extremal black holes to obtain four-dimensional flow equations and we give the corresponding solutions.

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“…Since the D3-branes wrapped on Σ 3 are BPS objects, it is expected that upon dimensional reduction from the ten-dimensional type IIB supergravity, they manifest theirselves as BPS objects in four-dimensions. Concretely, time-independent BPS configurations in fourdimensions are described by the metric [14] …”

Section: Extremal Black Hole From Wrapped D3-branesmentioning

confidence: 99%

“…We closely follow Refs. [6,14]. In this section we consider the case where only the five-form flux F 5 is turned on.…”

Section: Effective Scalar Potential For the Black Holementioning

confidence: 99%

Effects of brane-flux transition on black holes in string theory

Loaiza-Brito

Oda

2007

J. High Energy Phys.

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Extremal N = 2 black holes in four dimensions can be described by an ensemble of D3-branes wrapped on internal supersymmetric three-cycles of Calabi-Yau threefolds on which type IIB superstring theory is compactified. We construct a similar configuration, with extra RR and NS-NS three-form fluxes being turned on. We can avoid the Freed-Witten anomaly on the D3-branes by enforcing the pullback of these extra fluxes to the D3-branes to vanish at the classical level. In the setup the D3-brane charge is not conserved since it is classified as a trivial class in twisted K-theory. Consequently, the D3-branes may disappear by encountering an instantonic D5-brane localized in time. We discuss what happens on the black hole described by such disappearing D3-branes, relying mainly on topological arguments. Especially, we argue that another RR three-form flux will be left as a lump of remnant which is localized in the uncompactified four-dimensional space-time and that it may carry the same amount of degrees of freedom to describe a black hole, in cooperation with the original NS-NS flux, after this transition of the D3-branes.

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Supergravity flows and D-brane stability

Cited by 490 publications

References 54 publications

Anomalous dimensions of heavy operators from magnon energies

Anomalous dimensions of heavy operators from magnon energies

First-order flow equations for extremal black holes in very special geometry

Effects of brane-flux transition on black holes in string theory

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