BPS black holes in N=2 five dimensional ADS supergravity

Behrndt, Klaus; Chamseddine, Ali H.; Sabra, W. A.

doi:10.1016/s0370-2693(98)01208-8

Cited by 166 publications

(314 citation statements)

References 13 publications

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“…This simply reproduces the threecharge superstar solutions of [33,34]. On the other hand, while the general exact solution to this system of equations is not known (except in the one-charge, i.e.…”

Section: Jhep10(2007)003mentioning

confidence: 55%

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Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity

Chen¹,

Cremonini²,

Lin³

et al. 2007

J. High Energy Phys.

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This paper focuses on supergravity duals of BPS states in N = 4 super YangMills. In order to describe these duals, we begin with a sequence of breathing mode reductions of IIB supergravity: first on S 3 , then S 3 × S 1 , and finally on S 3 × S 1 × CP 1 . We then follow with a complete supersymmetry analysis, yielding 1/8, 1/4 and 1/2 BPS configurations, respectively (where in the last step we take the Hopf fibration of S 3 ). The 1/8 BPS geometries, which have an S 3 isometry and are time-fibered over a six-dimensional base, are determined by solving a non-linear equation for the Kähler metric on the base. Similarly, the 1/4 BPS configurations have an S 3 × S 1 isometry and a four-dimensional base, whose Kähler metric obeys another non-linear, Monge-Ampère type equation. Despite the non-linearity of the problem, we develop a universal bubbling AdS description of these geometries by focusing on the boundary conditions which ensure their regularity. In the 1/8 BPS case, we find that the S 3 cycle shrinks to zero size on a five-dimensional locus inside the six-dimensional base. Enforcing regularity of the full solution requires that the interior of a smooth, generally disconnected five-dimensional surface be removed from the base. The AdS 5 × S 5 ground state corresponds to excising the interior of an S 5 , while the 1/8 BPS excitations correspond to deformations (including topology change) of the S 5 and/or the excision of additional droplets from the base. In the case of 1/4 BPS configurations, by enforcing regularity conditions, we identify three-dimensional surfaces inside the four-dimensional base which separate the regions where the S 3 shrinks to zero size from those where the S 1 shrinks. We discuss a large class of examples to show the emergence of a universal bubbling AdS picture for all 1/2, 1/4 and 1/8 BPS geometries.

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Section: Jhep10(2007)003mentioning

confidence: 55%

“…where the triplet of two-forms I i are orthogonal to both K µ and L µ and satisfy the SU(2) structure equation 33) as well as the self-duality condition…”

Section: Jhep10(2007)003mentioning

confidence: 99%

Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity

Chen¹,

Cremonini²,

Lin³

et al. 2007

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…Thirdly, we note that, upon relaxing the BPS condition, a two-parameter family of AdS 2 × S 3 geometries with E p I = 0 and E k = −i is allowed [50]: It would be interesting to know if there exists a smooth interpolating solution between this non-BPS extremal geometry and AdS 5 at infinity. Finally, we note that BPS solutions of N = 1 supergravity with naked singularities and closed time-like curves were constructed in [51,52]. In the non-rotating case, their solution is given by …”

Section: Other Solutions Of Gauged Supergravitymentioning

confidence: 95%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2) × U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

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“…Although N = 8 was formulated back in 80's [1][2][3], very few analytic solutions have been constructed explicitely in this theory [4], since most of them are also solutions to the less supersymmetric truncations, which are more straightforward to approach [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Jhep03(2014)057mentioning

confidence: 99%

Attractors, black objects and holographic RG flows in 5d maximal gauged supergravities

Hristov

Rota

2014

J. High Energ. Phys.

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We perform a systematic search for static solutions in different sectors of 5d N = 8 supergravities with compact and non-compact gauged R-symmetry groups, finding new and listing already known backgrounds. Due to the variety of possible gauge groups and resulting scalar potentials, the maximally symmetric vacua we encounter in these theories can be Minkowski, de Sitter, or anti-de Sitter. There exist BPS and non-BPS near-horizon geometries and full solutions with all these three types of asymptotics, corresponding to black holes, branes, strings, rings, and other black objects with more exotic horizon topologies, supported by U(1) and SU(2) charges. The asymptotically AdS 5 solutions also have a clear holographic interpretation as RG flows of field theories on D3 branes, wrapped on compact 2-and 3-manifolds.

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BPS black holes in N=2 five dimensional ADS supergravity

Cited by 166 publications

References 13 publications

Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity

Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity

5D black holes and non-linear sigma models

Attractors, black objects and holographic RG flows in 5d maximal gauged supergravities

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