Gauge invariant finite size spectrum of the giant magnon

Abstract

It is shown that the finite size corrections to the spectrum of the giant magnon solution of classical string theory, computed using the uniform light-cone gauge, are gauge invariant and have physical meaning. This is seen in two ways: from a general argument where the single magnon is made gauge invariant by putting it on an orbifold as a wrapped state obeying the level matching condition as well as all other constraints, and by an explicit calculation where it is shown that physical quantum numbers do not depend on the uniform light-cone gauge parameter. The resulting finite size effects are exponentially small in the $R$-charge and the exponent (but not the prefactor) agrees with gauge theory computations using the integrable Hubbard model.

12 pages, some clarifications, references added

References in corpus (46)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• D-branes, Quivers, and ALE Instantons
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Finite-size Effects from Giant Magnons
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Magnon Bound States and the AdS/CFT Correspondence
• Planar N=4 Gauge Theory and the Hubbard Model
• Dyonic Giant Magnons
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• Infinite spin limit of semiclassical string states
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• Spiky strings and giant magnons on S5
• Dressing the Giant Magnon
• The PP-Wave Limits of Orbifolded AdS_5x S^5
• Strings from Quivers, Membranes from Moose
• Multispin Giant Magnons
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• How Accurate is the Quantum String Bethe Ansatz?
• The magnon kinematics of the AdS/CFT correspondence
• Dressing the Giant Magnon II
• Magnons, Classical Strings and beta-Deformations
• The Bethe Ansatz for Z_S Orbifolds of N=4 Super Yang-Mills Theory
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Integrable Spin Chain and Operator Mixing in N=1,2 Supersymmetric Theories
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• Gauge theory description of compactified pp-waves
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• Zero modes for the giant magnon
• Hubbard's Adventures in $\mathcal{N}=4$ SYM-land? Some non-perturbative considerations on finite length operators
• On the Scattering Phase for AdS_5 x S^5 Strings
• On the Scattering of Magnon Boundstates
• Rational three-spin string duals and non-anomalous finite size effects
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint

Cited by in corpus (62)

• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• Wrapping interactions at strong coupling -- the giant magnon
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Single spike solutions for strings on S2 and S3
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Quantum Wrapped Giant Magnon
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Finite size effects for giant magnons on physical strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• The scaling function at strong coupling from the quantum string Bethe equations
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Finite Size Giant Magnon
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Three-point Correlation functions of Giant magnons with finite size
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Giant Magnon in NS5-brane Background
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Large Winding Sector of AdS/CFT
• Scattering of single spikes
• Finite-size effects of Membranes on AdS_4 x S_7
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Spiky strings on AdS3 x S3 with NS-NS flux
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Giant magnons and spiky strings on the conifold
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Aspects of Integrability in AdS/CFT Duality
• On the multi-spin magnon and spike solutions from membranes
• Structure of the string R-matrix
• Toy models for wrapping effects
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
• Spiky Strings on NS5-branes
• Giant Magnons and Spiky Strings on S^3 with B-field
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• Note About Integrability and Gauge Fixing for Bosonic String on AdS(5)xS(5)
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection
• Giant magnon-like solution in Sch_5 x S^5
• Large-Spin Expansions of GKP Strings
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Close to the Giant Magnons
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Giant magnons and non-maximal giant gravitons
• Wrapping effects in supersymmetric gauge theories
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Large-Spin Expansions of Giant Magnons
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• The Omega-Infinity Limit of Single Spikes
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes