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On the geometry of non-trivially embedded branes
High Energy Physics - Theory · Submitted 5 Nov 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions.
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We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions. The metric is given implicitly as one with respect to which a certain connection is compatible. The case of the deformed conifold is discussed in detail.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions. | contribution 0.99 | 0.94 | 0.65 | asserted 1.00 |
| s1 | The metric is given implicitly as one with respect to which a certain connection is compatible. | contribution 0.42 | 0.79 | 0.11 | asserted 1.00 |
| s2 | The case of the deformed conifold is discussed in detail. | contribution 0.98 | 0.78 | 0.08 | asserted 0.92 |
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The paper
Original abstract
We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions. The metric is given implicitly as one with respect to which a certain connection is compatible. The case of the deformed conifold is discussed in detail.
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References
How the literature uses it
35 arXiv papers cite this in 52 sentences
Papers citing it · 34 sentences without a confident label
Uses its method or tool 3 papers
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We will need a consistent five dimensional $=2$ gauged supergravity subtruncation of the CF model (identified in [ref] ) that contains Klebanov-Witten [ref] model: [equation] with [equation] [equation] [equation] [equation] [equation] Various fields in [ref] uplifts to 10d type IIB supergravity as follows: * The 10d Einstein frame metric is a direct warped product of metric on $_5$ and a metric on the deformed coset [equation] parameterized by four 0-forms ${u,v,τ,θ}$ and a single 1-form $A$ on $_5$, [equation] where $e_i$ are the standard coframe 1-forms on $T^1,1$ [ref] , [equation] for angular coordinates ${θ_1,ϕ_1,θ_2,ϕ_2,ψ}$ with ranges $0≤θ_1,2<π$, $0≤ϕ_1,2<2π$, and $0≤ψ<4π$.
Fluxification and scalarization of the conifold black holes · Effective action and consistent truncations · 0.81
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[ref] , we may derive the most general $SU(2)×SU(2)$-invariant metric, that is also invariant under a $_2$ exchange of the two $SU(2)$-factors.
Thraxions: Ultralight Throat Axions · Deformed Conifold for General Complex Structure Modulus · 0.81
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The $τ→0$ limit of the metric in Eq. ([ref]), d s̃ ^2(_6) ≃^4/3 2^5/3 3 ^1/3 (dτ^2 + ∑_a=1^3 ø_a ^2 + τ^2 ( (d+ H_2 )^2 + (sindϕ- H_1 )^2 ) ) ⟹ r̃(S^3)= r̃(S^2) /τ= ^2/3 2 ^-5/6 3 ^-1/6 , [r^2 (S^3) = h ^1/2 (0) r̃^2(S^3)= 2^-4/3 3^-1/3 a_0^1/2 g_s M '] shows that the geometry near the apex involves the collapsing $S^2 (, ϕ)$ fibred over the blown-up $S^3 (ø^a)$, where the formulas for the unwarped and warped radii $r̃ (S^k) , r (S^k)$ were inferred by means of the familiar method [ref] .
Kaluza-Klein theory for type $II \ b$ supergravity on the warped deformed conifold · Algebraic properties · 0.90
Compares with it 1 paper
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These coordinates are different from the standard coordinates used by Klebanov and Strassler [ref] , and prove to be very convenient for working with the Laplace equation.
The Mesonic Branch of the Deformed Conifold · Introduction · 0.82
Cites it as background 11 papers
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Another approach is to perform a complex structure deformation resulting in the deformed conifold whose metric is written down in [ref] .
T-dualising the Deformed and Resolved Conifold · Introduction · 0.85
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(For details on the warped deformed conifold, and coordinate systems, see e.g. [ref] .)
Cosmic superstring trajectories in warped compactifications · Strings on a warped internal manifold · 0.96
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The KS geometry [ref] is [equation] where $x^μ$ ($μ= 0,⋯3$) are 4-dimensional external coordinates and $ds_6^2$ is the metric of the deformed conifold [ref] [equation] where [equation] and $g^i$ ($i=1,⋯5$) are orthonormal basis [ref] defined by [equation] with [equation]
Constraints on Wrapped DBI Inflation in a Warped Throat · Klebanov–Strassler Solution · 0.83
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