Black p-brane solutions of D=11 supergravity theory

Güven, R.

doi:10.1016/0370-2693(92)90540-k

Cited by 336 publications

(252 citation statements)

References 19 publications

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“…Although this takes care of the delta function at y = 0, the solution can be analytically continued to the region r = 0 where r is a Schwarzschild-like coordinate defined by r 6 = y 6 + K [10,11] and the solution still exhibits a curvature singularity at r = 0. This singularity contrasts with the fivebrane soliton solution [12] which is everywhere nonsingular. The mass per unit area of the membrane M 3 is equal to its tension:…”

Section: The Eleven-dimensional Supermembranementioning

confidence: 73%

The octonionic membrane

Duff¹,

Evans

Khuri

et al. 1998

Nuclear Physics B - Proceedings Supplements

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We generalize the supermembrane solution of D = 11 supergravity by permitting the 4-form G to be either self-dual or anti-self-dual in the eight dimensions transverse to the membrane. After analyzing the supergravity field equations directly, and also discussing necessary conditions for unbroken supersymmetry, we focus on two specific, related solutions. The self-dual solution is not asymptotically flat. The anti-self-dual solution is asymptotically flat, has finite mass per unit area and saturates the same mass=charge Bogomolnyi bound as the usual supermembrane. Nevertheless, neither solution preserves any supersymmetry. Both solutions involve the octonionic structure constants but, perhaps surprisingly, they are unrelated to the octonionic instanton 2-form F , for which T rF ∧ F is neither self-dual nor anti-self-dual.

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Section: The Eleven-dimensional Supermembranementioning

confidence: 73%

The octonionic membrane

Duff¹,

Evans

Khuri

et al. 1998

Nuclear Physics B - Proceedings Supplements

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“…For supersymmetric solutions, see [71,[80][81][82][83][84][85][86][87][88] and the references therein.…”

Section: Remarkmentioning

confidence: 99%

On Brane Solutions with Intersection Rules Related to Lie Algebras

Ivashchuk

2017

Symmetry

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Abstract:The review is devoted to exact solutions with hidden symmetries arising in a multidimensional gravitational model containing scalar fields and antisymmetric forms. These solutions are defined on a manifold of the form M = M 0 × M 1 × . . . × M n , where all M i with i ≥ 1 are fixed Einstein (e.g., Ricci-flat) spaces. We consider a warped product metric on M . Here, M 0 is a base manifold, and all scale factors (of the warped product), scalar fields and potentials for monomial forms are functions on M 0 . The monomial forms (of the electric or magnetic type) appear in the so-called composite brane ansatz for fields of forms. Under certain restrictions on branes, the sigma-model approach for the solutions to field equations was derived in earlier publications with V.N.Melnikov. The sigma model is defined on the manifold M 0 of dimension d 0 = 2 . By using the sigma-model approach, several classes of exact solutions, e.g., solutions with harmonic functions, S-brane, black brane and fluxbrane solutions, are obtained. For d 0 = 1 , the solutions are governed by moduli functions that obey Toda-like equations. For certain brane intersections related to Lie algebras of finite rank-non-singular Kac-Moody (KM) algebras-the moduli functions are governed by Toda equations corresponding to these algebras. For finite-dimensional semi-simple Lie algebras, the Toda equations are integrable, and for black brane and fluxbrane configurations, they give rise to polynomial moduli functions. Some examples of solutions, e.g., corresponding to finite dimensional semi-simple Lie algebras, hyperbolic KM algebras: H 2 (q, q) , AE 3 , H A (1) 2 , E 10 and Lorentzian KM algebra P 10 , are presented.

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“…To be specific recall that the spacetime metrics of the various branes are as follows: The metric of the M-2-brane [19] and the M-5-brane [20] are…”

Section: Moduli Spaces From Intersecting Branesmentioning

confidence: 99%

Moduli spaces for four- and five-dimensional black holes

Gutowski

Papadopoulos

2000

Phys. Rev. D

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We propose a universal expression for the moduli metric of a class of four-and five-dimensional black holes which preserve at least four supersymmetries. These include the black holes that are associated with various intersecting branes in ten and eleven dimensions, the electrically charged black holes of N=2 D=5 and N=2 D=4 supergravities with any number of vector multiplets, and dyonic black holes of N=2 D=4 supergravity. The moduli metric of electrically charged N=2 D=4 black holes coupled to any number of vector multiplets is explicitly computed. We also investigate the superconformal symmetries of the black hole moduli spaces for small black hole separations.

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Black p-brane solutions of D=11 supergravity theory

Cited by 336 publications

References 19 publications

The octonionic membrane

The octonionic membrane

On Brane Solutions with Intersection Rules Related to Lie Algebras

Moduli spaces for four- and five-dimensional black holes

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