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 (4)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint

Cited by in corpus (23)

• 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 Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Large Winding Sector of AdS/CFT
• Giant magnons and spiky strings on the conifold
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Aspects of Integrability in AdS/CFT Duality
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• On the multi-spin magnon and spike solutions from membranes
• Structure of the string R-matrix
• Giant Magnons and Spiky Strings on S^3 with B-field
• 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)
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Conformal SO(2,4) Transformations for the Helical AdS String Solution