Non-critical Poincaré invariant bosonic string backgrounds and closed string tachyons

Álvarez, Enrique; Gómez, César; Hernández, Lorenzo

doi:10.1016/s0550-3213(01)00041-4

Cited by 8 publications

(11 citation statements)

References 13 publications

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“…2). This solution was originally derived in [28] in the context of bosonic strings. It was further shown that in the linear approximation the closed strings tachyon equation of motion has an exact "kink" solution, which interpolates between different expectation values.…”

Section: The Superpotential and Bps Equationsmentioning

confidence: 99%

Non-critical supergravity (d> 1) and holography

Kuperstein

Sonnenschein

2004

J. High Energy Phys.

131

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In this paper we investigate the supergravity equations of motion associated with non-critical (d > 1) type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In particular we find analytic backgrounds with a structure of AdS p+2 × S d−p−2 and numerical solutions that asymptote a linear dilaton with a topology of R 1,d−3 × R × S 1 . The SUGRA solutions we have found can serve as anti holographic descriptions of gauge theories in a large N limit which is different than the one of the critical gauge/gravity duality. It is characterized by N → ∞ and g 2 Y M N ∼ 1. We have made the first steps in analyzing the corresponding gauge theory properties like Wilson loops and the glue-ball spectra.

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Section: The Superpotential and Bps Equationsmentioning

confidence: 99%

Non-critical supergravity (d> 1) and holography

Kuperstein

Sonnenschein

2004

J. High Energy Phys.

131

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“…Let us consider the case where N = Q = N f = 0 in which the potential (2.12) will have an over all factor of e −2ϕ . Thus one may take the following ansatz for the superpotential [21] …”

Section: Jhep01(2005)017mentioning

confidence: 99%

On Isolated Conformal Fixed Points and Noncritical String Theory

Alishahiha¹,

Ghodsi²,

Mosaffa³

2005

J. High Energy Phys.

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We search for the gravity description of unidentified field theories at their conformal fixed points by studying the low energy effective action of six dimensional noncritical string theory. We find constant dilaton solutions by solving both the equations of motion and BPS equations. Our solutions include a free parameter provided by a stack of uncharged space filling branes. We find several AdS p × S q solutions with constant radii for AdS p and S q . The curvature of the solutions are of the order of the string scale.

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“…It would be interesting to see if some of the solutions (3.15) have an exact CFT field description as the cigar and trumpet do. We mention that in reference [30] the Einstein space corresponding to the solution a = e = g = 1 √ p+2 (ϕ = √ p + 2) was considered, while that the subfamily of possible vacua corresponding to a = e appears recently in reference [17].…”

Section: 2mentioning

confidence: 99%

Space–time filling branes in non-critical (super) string theories

Lugo

Sturla

2008

Nuclear Physics B

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We consider solutions of (super) gravities associated to non-critical (super) string theories in arbitrary space-time dimension D = p + 3, that describe generically non extremal black p-branes charged under NSNS or RR gauge fields, embedded in some non critical vacuum. In the case of vacuum (uncharged) backgrounds, we solve completely the problem obtaining all the possible solutions, that consist of the (p + 1)-dimensional Minkowski space times a linear dilaton times a S 1 , and a three parameter family of solutions that include (p+1)-dimensional Minkowski space times the cigar, and its T-dual (p+1)-dimensional Minkowski space times the trumpet. For NSNS charged solutions, we also solve in closed form the problem, obtaining several families of solutions, that include in particular the fundamental non-critical string solution embedded in the cigar vacuum, recently found in hep-th/0604202, a solution that we interpret as a fundamental non-critical string embedded in the linear dilaton vacuum, and a two-parameter family of regular curvature solutions asymptotic to AdS 1,2 × S 1 . In the case of RR charged Dp-branes solutions, an ansätz allows us to find a non conformal, constant curvature, asymptotically AdS 1,p+1 space, T-dual to AdS 1,p+2 , together with a two-parameter family of solutions that includes the non conformal, AdS black hole like solution associated with the earlier space. The solutions obtained by T-duality are Einstein spaces consisting of a two-parameter family of conformal, constant dilaton solutions, that include, in particular, the AdS black hole of hep-th/0403254. We speculate about the possible applications of some of them in the framework of the gauge-gravity correspondence. 1

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Non-critical Poincaré invariant bosonic string backgrounds and closed string tachyons

Cited by 8 publications

References 13 publications

Non-critical supergravity (d> 1) and holography

Non-critical supergravity (d> 1) and holography

On Isolated Conformal Fixed Points and Noncritical String Theory

Space–time filling branes in non-critical (super) string theories

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