Variant   = (1,1) supergravity and (Minkowski)
 4
 ×
 S
 2
 vacua

Kerimo, Johannes; Liu, James T.; Lü, H.; Pope, C.N.

doi:10.1088/0264-9381/21/13/011

Cited by 10 publications

(2 citation statements)

References 11 publications

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“…An alternative lift from 4 dimensions to 6 dimensions is on S 2 [53], leading to a solution of an ( ) = N 2, 2 gauged supergravity [54]. There is a truncation of the 6-dimensional theory such that the string frame Lagrangian is where Ω d 2 2 is the metric of S 2 .…”

Section: Four-dimensional Black Holesmentioning

confidence: 99%

Higher-dimensional lifts of Killing–Yano forms with torsion

Chow¹

2016

Class. Quantum Grav.

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Using a Kaluza-Klein-type lift, it is shown how Killing-Yano forms with torsion can remain symmetries of a higher-dimensional geometry, subject to an algebraic condition between the Kaluza-Klein field strength and the Killing-Yano form. The lift condition's significance is highlighted, and is satisfied by examples of black holes in supergravity.Killing-Yano (KY) p-forms [1] generalize Killing vectors to higher-rank antisymmetric tensors(1.1)The Kerr-Newman black hole spacetime admits a KY 2-form [2,3], which underlies many of the solution's remarkable properties. Higher-dimensional generalizations in Einstein gravity possess additional KY p-forms and retain many of the remarkable properties of the 4dimensional Kerr spacetime; see [4,5] for reviews. Like Killing vectors, KY forms give symmetries. However, they are "hidden symmetries" of phase space, rather than configuration space; see [6] for a review. Some particular consequences of KY forms are: constants of motion for charged particle motion [7]; the existence of an operator commuting with the Dirac operator [8]; and enhanced worldline supersymmetry of a spinning particle [9]. There are generalizations of the Kerr-Newman black hole that are charged, rotating black hole solutions of supergravities. These theories contain the 3-form Kalb-Ramond field strength H of string theory. Some of the known solutions admit generalizations of KY forms in which the connection is modified to include a torsion [10], identified with the 3-form H, for example in [11,12,13,14]. Classifying supersymmetric solutions of supergravity leads to G-structures, on which KY forms with torsion also appear naturally [15,16]. Separately, KY 3-forms arise in 11-dimensional supergravity reduced on S 7 ; for squashed S 7 a KY 3-form constructed from a Killing spinor gives a Ricci-flattening torsion [17], while the 70 KY 3-forms of round S 7 are associated with 35 massless and 35 massive pseudoscalars [18,19]. See [20] for a review of KY forms in supersymmetric theories and G-structures.One reason for studying black holes in supergravity, rather than more general theories involving gravity, is that it seems to be easier to find exact solutions that are charged, rotating black holes. A charged, rotating exact black hole solution of higher-dimensional Einstein-Maxwell theory is not known, whereas examples are known explicitly in supergravity. Although there are solution generating techniques arising from string theory dualities, these do not explain the construction of asymptotically anti-de Sitter (AdS) black holes in gauged supergravity. However, behind all of these known solutions are Killing tensors. In general, these are symmetric Killing-Stäckel tensors rather than antisymmetric KY forms with torsion; see e.g. [21]. Killing tensors may provide guidance for finding new solutions. Whereas a general charged, rotating black hole in 5-dimensional minimal gauged supergravity was originally found using inspired guesswork [22], it can be derived assuming a certain type of Killing tensor [23]. Some ge...

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Section: Four-dimensional Black Holesmentioning

confidence: 99%

Higher-dimensional lifts of Killing–Yano forms with torsion

Chow¹

2016

Class. Quantum Grav.

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“…One intriguing feature of the Salam-Sezgin model is that it admits a half-supersymmetric Minkowski 4 × S 2 vacuum, where the S 2 is supported by the magnetic dipole charge carried by the U(1) vector field, together with the dilaton potential. It was later found that such a vacuum can also emerge in some variant N = (1, 1) gauged supergravities [12,13]. Subsequently, a large class of gauged supergravities with Minkowski×sphere vacua were classified in [14].…”

Section: Introductionmentioning

confidence: 98%

Boosted rotating dyonic strings in Salam-Sezgin model

Ma,

Pang,

Lü

2024

J. High Energ. Phys.

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We show that the bosonic sector of the N = (1, 0), 6D Salam-Sezgin gauged supergravity model possesses a T-duality symmetry upon a circle reduction to D = 5. We then construct a simple magnetic rotating string solution with two equal angular momenta. Applying the T-duality transformation to this solution, we obtain the general boosted rotating dyonic black string solutions whose global structures and thermodynamic quantities are also analyzed. Owing to the fact that the solutions are not asymptotically flat, we find that there are two distinct globally-different non-extremal solutions with two different sets of thermal dynamic variables, with both satisfying the thermodynamic first law and the corresponding Small relations. However, their BPS limit becomes the same and we show that it preserves one quarter of supersymmetry by directly solving the corresponding Killing spinor equations.

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Dyonic black strings and the charge lattice in Salam-Sezgin model

Ma,

Pang,

Lü

2024

J. High Energ. Phys.

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We obtain a class of dyonic black string solutions in 6D Salam-Sezgin model. We then calculate various thermodynamic quantities associated with this solution. Interestingly, for the thermodynamic quantities to be well defined, the temperature is bounded from above. However, the mass and entropy can still grow without any upper bound, reaching infinity at the maximal temperature. The quantization condition obeyed by various charges is also analyzed. In particular, we find that the Dirac quantization condition selects one particular sign choice for the magnetic string charges.

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Variant = (1,1) supergravity and (Minkowski) ₄ × S ² vacua

Cited by 10 publications

References 11 publications

Higher-dimensional lifts of Killing–Yano forms with torsion

Higher-dimensional lifts of Killing–Yano forms with torsion

Boosted rotating dyonic strings in Salam-Sezgin model

Dyonic black strings and the charge lattice in Salam-Sezgin model

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Variant = (1,1) supergravity and (Minkowski) 4 × S 2 vacua

Cited by 10 publications

References 11 publications

Higher-dimensional lifts of Killing–Yano forms with torsion

Higher-dimensional lifts of Killing–Yano forms with torsion

Boosted rotating dyonic strings in Salam-Sezgin model

Dyonic black strings and the charge lattice in Salam-Sezgin model

Contact Info

Product

Resources

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Variant = (1,1) supergravity and (Minkowski) ₄ × S ² vacua