Circular Semiclassical String solutions on Confining AdS/CFT Backgrounds

Alishahiha, Mohsen; Mosaffa, Amir E.

doi:10.1088/1126-6708/2002/10/060

Cited by 44 publications

(45 citation statements)

References 33 publications

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“…The reader can look at [6,19] and more recently [18,[20][21][22][23][24][25]. Some of the present solutions are similar to the ones obtained in [18].…”

Section: Introductionsupporting

confidence: 59%

Nonperturbative states in type II superstring theory from classical spinning membranes

2005

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We find a new family of exact solutions in membrane theory, representing toroidal membranes spinning in several planes. They have energy square proportional to the sum of the different angular momenta, generalizing Regge-type string solutions to membrane theory. By compactifying the eleven dimensional theory on a circle and on a torus, we identify a family of new non-perturbative states of type IIA and type IIB superstring theory (which contains the perturbative spinning string solutions of type II string theory as a particular case). The solution represents a spinning bound state of D branes and fundamental strings. Then we find similar solutions for membranes on AdS 7 × S 4 and AdS 4 × S 7 . We also consider the analogous solutions in SU(N) matrix theory, and compute the energy. They can be interpreted as rotating open strings with D0 branes attached to their endpoints.

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“…The reader can look at [6,19] and more recently [18,[20][21][22][23][24][25]. Some of the present solutions are similar to the ones obtained in [18].…”

Section: Introductionsupporting

confidence: 59%

Nonperturbative states in type II superstring theory from classical spinning membranes

2005

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“…In what follows we shall find the energy eigenvalues using the WKB approximation and compare with [15]. These authors suggest for non-conformal AdS backgrounds in the highenergy limit a universal behaviour…”

Section: × Rmentioning

confidence: 81%

Semi-classical string solutions for =1 SYM

Pons¹,

Talavera²

2003

Nuclear Physics B

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We study semi-classically the dynamics of string solitons in the Maldacena-Nuñez background, dual in the infra-red to N =1, d = 4 SYM. For closed string configurations rotating in the S 2 × R space wrapped by the stack of N D-branes we find a behaviour that indicates the decoupling of the stringy Kaluza-Klein modes with sufficiently large R-symmetry charge. We show that the spectrum of a pulsating string configuration in S 2 coincides with that of a N=2 super Sine-Gordon model. Closed string configurations spinning in the transversal S 3 give a relation of the energy and the conserved angular momentum identical to that obtained for configurations spinning in the S 5 of the AdS 5 × S 5 , dual to N =4 SYM. In order to obtain non-trivial relations between the energy and the spin, we also consider conical-like configurations stretching along a radial variable in the unwrapped directions of the system of D-branes and simultaneously along the transversal direction. We find that in this precise case, these configurations are unstable -contrary to other backgrounds, where we show that they are stable. We point out that in the Poincaré-like coordinates used for the MaldacenaNuñez background it seems that it is not possible to reproduce the well-known field theory relation between the energy and the angular momentum. We reach a similar conclusion for the Klebanov-Strassler background, by showing that the conical-like configurations are also unstable.

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“…The semiclassical approach is also expected to hold for more general cases such as nonor less supersymmetric cases and non-conformal cases [18,14,19,20,21,22,23]. The orbiting strings in a AdS 5 black hole background have been investigated and associated with the glueball states in the dual finite temperature N =4 SYM theory [18].…”

Section: Introductionmentioning

confidence: 99%

“…Rotating string configurations in a confining geometry produced by an AdS charged black hole have been also studied [19], where long strings probe the interplay between confinement and finite-size effect. Further in Witten's model for QCD constructed with near-extremal Dp-branes the string configurations rotating along a circle with a fixed radius in the non-compact directions of Dp-branes, have been shown to give the dispersion relations between the energy and the linear momentum along the compact circle [19,20]. The semiclassical approach has been applied to the membranes rotating in the G 2 holonomy backgrounds that are not AdS × Stype ones and dual to N =1 gauge theories in four dimensions and various type of energy-spin relations have been presented [21], while several folded closed string configurations have been studied in the Maldacena-Nuñez background, dual in the infra-red to N =1 gauge theories in four dimensions [23].…”

Section: Introductionmentioning

confidence: 99%

Rotating and orbiting strings in the near-horizon brane backgrounds

Ryang

2003

J. High Energy Phys.

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Using the Schwarzschild-type coordinates in stead of the global ones we reconstruct the classical rotating closed string solutions in the AdS 5 × S 5 backgrounds. They are explicitly described by the Jacobi elliptic and trigonometrical functions of worldsheet coordinates. We study the orbiting closed string configurations in the near-horizon geometries of Dp, NS1 and NS5 branes, and derive the energy and spin of them, whose relation takes a simple form for short strings. Specially in the D5 and NS5 backgrounds we have a linear relation that the energy of the point-like string is proportional to the spin, which is associated with the spectrum of strings in the pp-wave geometries obtained by taking a special Penrose limit on the D5 and NS5 backgrounds.

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Circular Semiclassical String solutions on Confining AdS/CFT Backgrounds

Cited by 44 publications

References 33 publications

Nonperturbative states in type II superstring theory from classical spinning membranes

Nonperturbative states in type II superstring theory from classical spinning membranes

Semi-classical string solutions for =1 SYM

Rotating and orbiting strings in the near-horizon brane backgrounds

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