Einstein spaces in five and seven dimensions and non-supersymmetric gauge theories

Russo, Jorge G.

doi:10.1016/s0370-2693(98)00813-2

Cited by 9 publications

(9 citation statements)

References 16 publications

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“…2 In this interpolation two of the four parameters change values continuously to take three sets of values for the three different solutions. We remark that the three-parameter solution interpolating between AdS 5 black hole and AdS 5 soliton has also been obtained before directly in five dimensional gravity with negative cosmological constant [25,26]. However, which ten dimensional brane solution it comes from is not clear.…”

Section: Introductionmentioning

confidence: 70%

“…In the process of showing the interpolation, we have clarified the relation of the various apparently unrelated AdS 5 solutions known in the literature [15,21,[25][26][27] and have seen that their ten dimensional origin is anisotropic non-susy D3 brane solution of type IIB string theory. The gauge theory interpretations of these solutions have been discussed at length in many of these papers.…”

Section: Resultsmentioning

confidence: 99%

“…We obtained this solution from asymptotically flat, charged non-susy D3 brane solution with anisotropies in time and one of the spatial directions of the brane of type IIB string theory. The asymptotically locally AdS 5 solution is constructed as a throat limit of this solution (unlike many other solutions in the literature [15,[21][22][23][24][25][26] which were obtained directly in AdS 5 space). Our solution has some similarities with the Constable-Myers (CM) solution [27].…”

Section: Resultsmentioning

confidence: 99%

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Non-susy D3 brane and an interpolating solution between AdS5 black hole, AdS5 soliton and a ‘soft-wall’ gravity solution

Roy

2015

J. High Energ. Phys.

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It is known from the work in [1] of Lu et al. that the non-supersymmetric charged D3-brane (with anisotropies in time as well as one of the spatial directions of D3brane) of type IIB string theory is characterized by five independent parameters. By fixing one of the parameters and zooming into a particular region of space-time we construct a four parameter family of solution in AdS 5 , which interpolates between AdS 5 black hole and AdS 5 soliton (when one of the spatial directions in the Poincare coordinates is compact) by continuously changing the parameters (there is no need to take a double Wick rotation as is usual to go from one solution to the other) from one set of values to another. We consider two cases. In the first case the dilaton is constant for this transition and there are only three independent parameters, whereas in the second case the dilaton varies and there are four independent parameters. In the latter case, the solution interpolates between AdS 5 black hole, AdS 5 soliton as well as the so-called 'soft-wall' gravity solution of AdS/QCD model. We also compare our solution to the previously obtained Constable-Myers solution which is helpful in generalizing the solution for other Dp (for p = 3) branes.

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Section: Introductionmentioning

confidence: 70%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Non-susy D3 brane and an interpolating solution between AdS5 black hole, AdS5 soliton and a ‘soft-wall’ gravity solution

Roy

2015

J. High Energ. Phys.

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“…Similar nonsupersymmetric brane-like solutions in asymptoti cally AdS5 x S5 spaces have been constructed in Refs. [19][20][21][22], However, no stability analysis has been performed for these nonsupersymmetric solutions. The main reason could be that these solutions have naked singularities and might be called unphysical; however, their status in full string theory is not at all clearly understood.…”

Section: Introductionmentioning

confidence: 99%

Interpolating solution fromAdS5to hyperscaling violating Lifshitz spacetime

Dey

Roy

2015

Phys. Rev. D

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We construct two interpolating solutions in type II string theory which interpolate between AdS5 in the UV and a hyperscaling-violating three (spatial)-dimensional Lifshitz spacetime in the IR. The first solution is nonsupersymmetric and is obtained from a known intersecting nonsupersymmetric D 3-brane with a chargeless DO-brane solution o f type IIB string theory, by restricting some para meters characterizing the solution and going to a new coordinate. In the IR the dilaton is nonconstant in general and the metric is three (spatial)-dimensional hyperscaling-violating Lifshitz spacetime with dynamical critical exponent z = (3 + 3y)/(3 -y) and hyperscaling-violation exponent 0 = 12/ ( 3 -y ) , where y is a real parameter and can take continuous values from -1 to + 1 . At the two extreme values, i.e., for y = ± 1 , the dilaton is constant. On physical grounds it is found that y m ust be restricted to lie in the range -1 < y < 0. The second solution is supersymmetric and is obtained from the known F-D2 bound-state solution o f type HA string theory by zooming into a particular region of space. In the UV, the proper description is given in a T-dual frame which is AdS5, whereas in the IR, it gives a three-dimensional hyperscaling-violating Lifshitz spacetime with z = 3 and 0 = 2 = d -l.

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“…In lower dimensions, when n = 1 and n = 2, (1) becomes the usual two and three dimensional AdS spacetimes, respectively. Here we should also note that special forms of (1) with specific choices for the constants p k have already appeared in the literature for D = 5 and D = 7 [6,7,8].…”

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confidence: 99%

Note on cosmological Levi-Civita spacetimes in higher dimensions

Sarıoğlu

Tekin

2009

Phys. Rev. D

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We find a class of solutions to cosmological Einstein equations that generalizes the four dimensional cylindrically symmetric spacetimes to higher dimensions. The AdS soliton is a special member of this class with a unique singularity structure.PACS numbers: 04.20.Jb, 04.50.Gh In this note, we generalize the four dimensional cylindrically symmetric static spacetimes that are solutions to the Einstein equations, with a negative cosmological constant Λ < 0, to higher dimensions. The flat space (Λ = 0) analogs of these solutions are known as the Levi-Civita spacetimes [1].The original four dimensional solutions with a non-vanishing Λ were found in [2] and [3]. Nonsingular sheet sources for these spacetimes were recently constructed in [4]. There are subtle issues in the interpretation of the parameters that appear in the four dimensional solution in terms of the physical properties, such as the mass, of material sources. According to [4], "for the Λ < 0 case the asymptotic forms of the metrics due to material cylinders are more closely related to the asymptotics of bounded sources than for the Λ = 0 case."Here we provide a new class of solutions to the cosmological Einstein equations (with a redefined cosmological constant)

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Einstein spaces in five and seven dimensions and non-supersymmetric gauge theories

Cited by 9 publications

References 16 publications

Non-susy D3 brane and an interpolating solution between AdS5 black hole, AdS5 soliton and a ‘soft-wall’ gravity solution

Non-susy D3 brane and an interpolating solution between AdS5 black hole, AdS5 soliton and a ‘soft-wall’ gravity solution

Interpolating solution fromAdS5to hyperscaling violating Lifshitz spacetime

Note on cosmological Levi-Civita spacetimes in higher dimensions

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