Black holes and solitons in string theory

Youm, Donam

doi:10.1016/s0370-1573(99)00037-x

Cited by 178 publications

(136 citation statements)

References 641 publications

(2,000 reference statements)

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“…An off-diagonal choice is associated with an off-diagonal intersection matrix for the self-dual and anti-self-dual forms of K3, but this is an unnatural choice for our solutions, in which only anti-self-dual forms are active. Thus relative to the conventions of [18,20] we take…”

Section: Compactification On Tmentioning

confidence: 99%

“…Given that the six-dimensional IIA supergravity has only an SO(4, 20) symmetry, relating IIB to IIA requires explicitly breaking the SO(5, 21) symmetry of the IIB action down to SO (4,20).…”

Section: T-duality To F1-ns5 (Iib) On K3mentioning

confidence: 99%

“…and in which only an SO(4, 20) subgroup of the total SO(5, 21) symmetry is manifest; recall that M −1 AB here is an SO(5, 21) matrix, with M −1 (a)(b) being SO (4,20). Note that the sixdimensional coupling is related to the ten-dimensional coupling via (2π) 4 V (2κ 2 6 ) = 2κ 2 10 , where (2π) 4 V is the volume of K3.…”

Section: B Reduction Of Type Iib Solutions On K3mentioning

confidence: 99%

“…For the most part these may be implicitly written in terms of basis change matrices, so that compactification and duality formulas remain as simple as possible. Thus let us define matrices Ω 1 and Ω 2 for SO (4,20), and Ω 3 and Ω 4 for SO(5, 21) via: …”

Section: B2 Basis Change Matricesmentioning

confidence: 99%

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Fuzzballs with internal excitations

Kanitscheider

Skenderis

Taylor

2007

J. High Energy Phys.

197

387

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We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T 4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T 4 for the K3 and T 4 cases, respectively.We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T 4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.

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Section: Compactification On Tmentioning

confidence: 99%

Section: T-duality To F1-ns5 (Iib) On K3mentioning

confidence: 99%

Section: B Reduction Of Type Iib Solutions On K3mentioning

confidence: 99%

Section: B2 Basis Change Matricesmentioning

confidence: 99%

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Fuzzballs with internal excitations

Kanitscheider

Skenderis

Taylor

2007

J. High Energy Phys.

197

387

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“…Rather than presenting the solution and showing that it solves the low energy equations of type II superstring, we will describe some aspects of the art of solution-building. There are many excellent reviews of this area (see, for example, [45,46,47,48,49,50,51,52,53], other general reviews on black holes in string/M theories include [54,55,56]), so we shall be brief. The method of construction of various classical solutions, we will see, will throw light on the microscopic configurations corresponding to these solutions.…”

Section: Construction Of Classical Solutionsmentioning

confidence: 99%

Microscopic formulation of black holes in string theory

David¹,

Mandal²,

Wadia³

2002

Physics Reports

360

545

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In this Report we review the microscopic formulation of the five dimensional black hole of type IIB string theory in terms of the D1-D5 brane system. The emphasis here is more on the brane dynamics than on supergravity solutions. We show how the low energy brane dynamics, combined with crucial inputs from AdS/CFT correspondence, leads to a derivation of black hole thermodynamics and the rate of Hawking radiation. Our approach requires a detailed exposition of the gauge theory and conformal field theory of the D1-D5 system. We also discuss some applications of the AdS/CFT correspondence in the context of black hole formation in three dimensions by thermal transition and by collision of point particles.

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Strings, Branes and Extra Dimensions

Förste

2002

Fortschr. Phys.

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This review is devoted to strings and branes. Firstly, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to BPS vacua of supergravity is presented afterwards. As applications, we outline the role of branes in string dualities, field theory dualities, the AdS/CFT correspondence and scenarios where the string scale is at a TeV. Some issues of warped compactifications are also addressed. These comprise corrections to gravitational interactions as well as the cosmological constant problem. observation results in the AdS/CFT correspondence. We present in some detail, how the AdS/CFT correspondence can be employed to compute Wilson loops in strongly coupled gauge theories. An application which is of phenomenological interest is the fact that D-branes allow to construct models in which the string scale is of the order of a TeV. If such models are realized in nature, they should be discovered experimentally in the near future.Chapter 5 is somewhat disconnected from the rest of these notes since it considers brane models which are not directly constructed from strings. Postulating the existence of branes on which certain interactions are localized, we present the construction of models in which the space transverse to the brane is curved. We discuss how an observer on a brane experiences gravitational interactions. We also make contact to the AdS/CFT conjecture for a certain model. Also other questions of phenomenological relevance are addressed. These are the hierarchy problem and the problem of the cosmological constant. We show how these problems are modified in models containing 15 We use here the previous result that we need to have d = 10 in order to preserve target space Lorentz invariance. 16 In this notation we suppress the eigenvalue k µ of the bosonic zero modes.

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Black holes and solitons in string theory

Cited by 178 publications

References 641 publications

Fuzzballs with internal excitations

Fuzzballs with internal excitations

Microscopic formulation of black holes in string theory

Strings, Branes and Extra Dimensions

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