Giant magnons and spiky strings on the conifold

Abstract

We find explicit solutions for giant magnons and spiky strings on the squashed three dimensional sphere. For a special value of the squashing parameter the solutions describe strings moving in a sector of the conifold, while for another value of the squashing parameter we recover the known results on the round three dimensional sphere. A new feature is that the energy and the momenta enter in the dispersion relation of the conifold in a transcendental way.

34 pages, 10 figures

References in corpus (50)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Towards the large N limit of pure N=1 super Yang Mills
• Transcendentality and Crossing
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• Giant Magnons
• The su(2|2) Dynamic S-Matrix
• Gauge Theories from Toric Geometry and Brane Tilings
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Spin chains and string theory
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• Einstein manifolds and conformal field theories
• New Einstein-Sasaki Spaces in Five and Higher Dimensions
• Finite-size Effects from Giant Magnons
• From Sasaki-Einstein spaces to quivers via BPS geodesics: Lpqr
• Non-critical holography and four-dimensional CFT's with fundamentals
• Magnon Bound States and the AdS/CFT Correspondence
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
• The dual superconformal theory for Lpqr manifolds
• Dyonic Giant Magnons
• On Penrose Limits and Gauge Theories
• The SU(3) spin chain sigma model and string theory
• Penrose Limit of N=1 Gauge Theories
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Spiky strings and giant magnons on S5
• Dressing the Giant Magnon
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Single spike solutions for strings on S2 and S3
• Multispin Giant Magnons
• Gauge invariant finite size spectrum of the giant magnon
• Magnons, Classical Strings and beta-Deformations
• Giant magnons in TsT-transformed AdS_5 x S^5
• Semiclassical Particle Spectrum of Double Sine-Gordon Model
• Spiky Strings, Giant Magnons and beta-deformations
• Scattering of single spikes
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• Dual Spikes; New Spiky String Solutions
• Strings on conifolds from strong coupling dynamics, part I
• Strings on conifolds from strong coupling dynamics: quantitative results
• Near-flat space limit and Einstein manifolds
• On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background

Cited by in corpus (16)

• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Spiky strings on AdS3 x S3 with NS-NS flux
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• On the pulsating strings in AdS_5 x T^{1,1}
• On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)
• Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• On the non-BPS string solutions in Sasaki-Einstein gauge/gravity duality
• Semiclassical strings in marginally deformed toric AdS/CFT
• Rotating Membranes in AdS_4xM^{1,1,1}
• Three Spin Spiky Strings in beta-deformed Background
• Probing Non-Toric Geometry with Rotating Membranes
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• On finite size corrections to the dispersion relations of giant magnon and single spike on γ-deformed T^{1,1}