D-branes in non-critical superstrings and minimal super-Yang–Mills in various dimensions

Ashok, Sujay K.; Murthy, Sameer; Troost, Jan

doi:10.1016/j.nuclphysb.2006.05.011

Cited by 24 publications

(73 citation statements)

References 51 publications

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“…This makes the task really difficult, since one should consider the full string theory in back-reacted, highly curved backgrounds with RR fields. This seems far from our present possibilities, but there have been some steps forward using two complementary approaches: in the first one [16,17], world-sheet CFT techniques are used to study the physics of branes in the (non-backreacted) cigar, the relevant geometry to engineer the string dual of N = 1 SYM. In the second one [10,12,13], the two-derivative approximation is used in the belief that stringy corrections should not spoil the qualitative behavior of gravity solutions which are highly symmetric (like AdS solutions).…”

Section: Discussionmentioning

confidence: 99%

“…If not, this could suggest a relation between the SCFT dual of our solution and the quiver Klebanov-Witten model dual to string theory on AdS 5 × T 1,1 [35]. The problem of identifying the dual field theory would receive crucial hints from the study of branes on KKL 4 in a way similar to what was done for the cigar in [16,17]. As we have already noticed, the conformal theory describing KKL 4 may not be integrable, and therefore this approach might prove very difficult.…”

Section: Comments On the N = 1 Dual Field Theorymentioning

confidence: 91%

“…the 2d cigar with U (1) isometry. By suitably placing D-branes on R 1,3 × SL(2, R)/U (1), one can study the duals of N = 1 SQCD [10,16] and N = 1 SYM [17].…”

Section: The Setupmentioning

confidence: 99%

“…Since we are interested in deforming the theory in the IR with an irrelevant operator, this last irrelevant, UV-growing deformation is the one we will turn on: we start in the IR with a configuration which asymptotes our AdS solution (φ 0 , β 0 , γ 0 ), and deform it with the eigenvector of (4.14) corresponding to λ 3 (4.15): 16) which will drive the solution away from AdS in the UV. To study this flow, and eventually compare the UV asymptotic region with the R 1,3 × KKL 4 vacuum, it is convenient to analyze how the combinations of fields appearing in the metric (3.24) evolve, rather than the fields α, β and γ, that is to study the flow of: 17) and the dilaton φ. To compare the UV asymptotic behavior of the flow with the KKL 4 vacuum, we also introduce the same radial coordinate that enters the metric (3.2) for the vacuum: dζ = 4 e The first order equations we need to solve read then: 19) and the initial conditions we impose at ζ = 0 (that is in the IR region) are (3.20):…”

Section: Bps First Order Equations Formentioning

confidence: 99%

“…The effect of the flavor branes is encoded by the addition of a Dirac action to the closed string effective action. This setting has been further studied in [16,17].…”

Section: Introductionmentioning

confidence: 99%

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Non-critical holography and four-dimensional CFT's with fundamentals

Bigazzi¹,

Casero²,

Cotrone³

et al. 2005

J. High Energy Phys.

192

334

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We find non-critical string backgrounds in five and eight dimensions, holographically related to four-dimensional conformal field theories with N = 0 and N = 1 supersymmetries. In the five-dimensional case we find an AdS 5 background metric for a string model related to non-supersymmetric, conformal QCD with large number of colors and flavors and discuss the conjectured existence of a conformal window from the point of view of our solution. In the eight-dimensional string theory, we build a family of solutions of the form AdS 5 ×S 3 withS 3 a squashed three-sphere. For a special value of the ratio N f /N c , the background can be interpreted as the supersymmetric near-horizon limit of a system of color and flavor branes on R 1,3 times a known four-dimensional generalization of the cigar. The N = 1 dual theory with fundamental matter should have an IR fixed point only for a fixed ratio N f /N c . General features of the string/gauge theory correspondence for theories with fundamental flavors are also addressed.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Comments On the N = 1 Dual Field Theorymentioning

confidence: 91%

“…the 2d cigar with U (1) isometry. By suitably placing D-branes on R 1,3 × SL(2, R)/U (1), one can study the duals of N = 1 SQCD [10,16] and N = 1 SYM [17].…”

Section: The Setupmentioning

confidence: 99%

Section: Bps First Order Equations Formentioning

confidence: 99%

“…The effect of the flavor branes is encoded by the addition of a Dirac action to the closed string effective action. This setting has been further studied in [16,17].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Non-critical holography and four-dimensional CFT's with fundamentals

Bigazzi¹,

Casero²,

Cotrone³

et al. 2005

J. High Energy Phys.

192

334

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Non‐critical superstrings and supersymmetric QCD

Niarchos¹

2006

Fortschritte der Physik

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In the present note we review the salient features of D-brane physics in a specific four-dimensional noncritical superstring theory which involves the N = 2 SL(2)/U (1) Kazama-Suzuki model at level 1. We pay special attention to a configuration of D3-and D5-branes that realizes N = 1 supersymmetric QCD and briefly discuss some implications of this construction for the (non)AdS/(non)CFT correspondence in the context of non-critical superstring theory. 1 The case n = 0 reduces to a Euclidean two-dimensional theory with spacetime supersymmetry. The n = 4 case, on the other hand, reproduces the well-known critical ten-dimensional fermionic string.

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Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories

Lugo¹,

Sturla²

2010

J. High Energ. Phys.

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We carry out a gauge invariant analysis of certain perturbations of D − 2branes solutions of low energy string theories. We get generically a system of second order coupled differential equations, and show that only in very particular cases it is possible to reduce it to just one differential equation. Later, we apply it to a multi-parameter, generically singular family of constant dilaton solutions of non-critical string theories in D dimensions, a generalization of that recently found in arXiv:0709.0471 [hep-th]. According to arguments coming from the holographic gauge theory-gravity correspondence, and at least in some region of the parameters space, we obtain glue-ball spectra of Yang-Mills theories in diverse dimensions, putting special emphasis in the scalar metric perturbations not considered previously in the literature in the non critical setup. We compare our numerical results to those studied previously and to lattice results, finding qualitative and in some cases, tuning properly the parameters, quantitative agreement. These results seem to show some kind of universality of the models, as well as an irrelevance of the singular character of the solutions. We also develop the analysis for the T-dual, non trivial dilaton family of solutions, showing perfect agreement between them.

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D-branes in non-critical superstrings and minimal super-Yang–Mills in various dimensions

Cited by 24 publications

References 51 publications

Non-critical holography and four-dimensional CFT's with fundamentals

Non-critical holography and four-dimensional CFT's with fundamentals

Non‐critical superstrings and supersymmetric QCD

Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories

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