3-branes on spaces with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi><mml:mo>×</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>topology

Zayas, Leopoldo A. Pando; Tseytlin, Arkady A.

doi:10.1103/physrevd.63.086006

Cited by 75 publications

(162 citation statements)

References 30 publications

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“…Note that g = e −8x and ρ = e y+x are still finite there, so this is a naked singularity. Just as in the KT case, the derivative of z or (e −4z ) ′ = K(u) becomes zero at 9 Numerical analysis confirms that there exists a finite value of u were z goes to infinity. The behaviour of e −4z is similar to that of the 1 + u − u 2 function: its starts at 1, grows reaching a maximum, and then goes to zero at approximately u s = 1.617. u = u 0 before we reach that singular point: e 8au 0 = 1 + 2P −1 e K 0 .…”

Section: Discussionmentioning

confidence: 55%

“…9 This point is a curvature singularity. According to (2.4), (2.5), h = e −4z−4x , so that h = 0 at finite u.…”

Section: Discussionmentioning

confidence: 99%

“…A more general extremal solution of (3.10)-(3.12) with non-zero w leads to fractional D3-branes on the generalized conifold (2.6) solution of [9]. 3 …”

Section: The Superpotential and The Extremal Kt Solutionmentioning

confidence: 99%

“…The limit of the standard conifold is ρ * → 0 or y * → −∞ which corresponds to w = 0. The extremal D3-brane on the conifold and the more general fractional D3-brane KT solution have x = w = 0 (for their w = 0 analogs in the case when the 6-d space is the generalized conifold see [9]). Adding a non-constant x(u) drives the non-extremality.…”

Section: Non-extremal Generalization Of the Kt Ansatzmentioning

confidence: 99%

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Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold

Buchel

Klebanov

Herzog

et al. 2001

J. High Energy Phys.

186

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The world volume theory on N regular and M fractional D3-branes at the conifold singularity is a non-conformal N = 1 supersymmetric SU (N + M ) × SU (N ) gauge theory. In previous work the extremal Type IIB supergravity dual of this theory at zero temperature was constructed. Regularity of the solution requires a deformation of the conifold: this is a reflection of the chiral symmetry breaking. To study the non-zero temperature generalizations non-extremal solutions have to be considered, and in the high temperature phase the chiral symmetry is expected to be restored. Such a solution is expected to have a regular Schwarzschild horizon. We construct an ansatz necessary to study such nonextremal solutions and show that the simplest possible solution has a singular horizon. We derive the system of second order equations in the radial variable whose solutions may have regular horizons. 02/01

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Section: Discussionmentioning

confidence: 55%

“…9 This point is a curvature singularity. According to (2.4), (2.5), h = e −4z−4x , so that h = 0 at finite u.…”

Section: Discussionmentioning

confidence: 99%

“…A more general extremal solution of (3.10)-(3.12) with non-zero w leads to fractional D3-branes on the generalized conifold (2.6) solution of [9]. 3 …”

Section: The Superpotential and The Extremal Kt Solutionmentioning

confidence: 99%

Section: Non-extremal Generalization Of the Kt Ansatzmentioning

confidence: 99%

See 2 more Smart Citations

Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold

Buchel

Klebanov

Herzog

et al. 2001

J. High Energy Phys.

186

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show abstract

“…Recently, some resolution procedures of singularities have been extensively discussed (see, for example, [5,6,7,8,9,10] and references therein), because such non-singular examples may provide important supergravity dual solutions of four-dimensional N = 1 super-Yang-Mills theory in the infrared regime.…”

Section: Introductionmentioning

confidence: 99%

Gauge Theoretical Construction of Non-compact Calabi–Yau Manifolds

2002

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We construct the non-compact Calabi-Yau manifolds interpreted as the complex line bundles over the Hermitian symmetric spaces. These manifolds are the various generalizations of the complex line bundle over CP N −1 . Imposing an F-term constraint on the line bundle over CP N −1 , we obtain the line bundle over the complex quadric surface Q N −2 . On the other hand, when we promote the U (1) gauge symmetry in CP N −1 to the non-abelian gauge group U (M ), the line bundle over the Grassmann manifold is obtained. We construct the non-compact Calabi-Yau manifolds with isometries of exceptional groups, which we have not discussed in the previous papers. Each of these manifolds contains the resolution parameter which controls the size of the base manifold, and the conical singularity appears when the parameter vanishes. *

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Domain Walls and Flow Equations in Supergravity

Behrndt¹

2001

Fortschr. Phys.

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3-branes on spaces withR×S2×S3topology

Cited by 75 publications

References 30 publications

Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold

Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold

Gauge Theoretical Construction of Non-compact Calabi–Yau Manifolds

Domain Walls and Flow Equations in Supergravity

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