Semi-classical string solutions for N=1 SYM

Abstract

We study semi-classically the dynamics of string solitons in the Maldacena-Nunez background, dual in the infra-red to N=1, d=4 SYM. For closed string configurations rotating in the S^2 x R space wrapped by the stack of N D-branes we find a behavior that indicates the decoupling of the stringy Kaluza-Klein modes with sufficiently large SO(3) quantum numbers. 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 x 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 Poincare-like coordinates used for the Maldacena-Nunez 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.

24 pages, 3 figures. v2: some rewording and refs added

References in corpus (17)

• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
• Semiclassical quantization of superstrings: AdS_5 x S^5 and beyond
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• Anomalous dimensions in gauge theories from rotating strings in $Ad{S}_5\times S^5$
• A note on the dual of N=1 super Yang-Mills theory
• A class of exact pp-wave string models with interacting light-cone gauge actions
• A Soluble String Theory of Hadrons
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• Rotating Strings in Confining AdS/CFT Backgrounds
• Circular Semiclassical String solutions on Confining AdS/CFT Backgrounds
• Scaling Violations in Yang-Mills Theories and Strings in AdS_5
• Supergravity Dual of Noncommutative N=1 SYM
• Large Spin Strings in AdS_3
• Gauge/string correspondence in curved space
• N=1 Super Yang-Mills from Supergravity: The UV-IR Connection

Cited by in corpus (25)

• Towards the String Dual of N=1 SQCD-like Theories
• Spinning strings and AdS/CFT duality
• Semiclassical spinning strings and confining gauge theories
• Semiclassical strings in Lunin-Maldacena background
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• N=2 Super Yang-Mills and the XXZ spin chain
• Spinning and rotating strings for N=1 SYM theory and brane constructions
• Folded Three-Spin String Solutions in AdS_5 x S^5
• Generalizations of Lunin-Maldacena transformation on the $AdSsub5xSsup5$ background
• Semiclassical strings and Non-Abelian T-duality
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Semiclassical string spectrum in a string model dual to large N QCD
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• On the Classical String Solutions and String/Field Theory Duality
• Semi-classical Strings in Sasaki-Einstein Manifolds
• On the consistency of the N=1 SYM spectra from wrapped five-branes
• On the Classical String Solutions and String/Field Theory Duality II
• Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits
• On the non-BPS string solutions in Sasaki-Einstein gauge/gravity duality
• Semiclassical strings in marginally deformed toric AdS/CFT
• Spinning Strings on Deformed AdS_5 x T^{1,1} with NS B-field
• PP-waves and softly broken N=1 SYM
• A note on the string spectrum at the Hagedorn temperature
• String Solutions in General Backgrounds