Semiclassical Quantization of the Giant Magnon

Abstract

Solitons in field theory provide a window into regimes not directly accessible by the fundamental perturbative degrees of freedom. Motivated by interest in the worldsheet S-matrix of string theory in AdS_5 x S^5 in the limit of infinite worldsheet volume we consider the semiclassical quantization of a particular soliton of this theory: the Hofman-Maldacena `giant magnon' spinning string. We obtain explicit formulas for the complete spectrum of bosonic and fermionic fluctuations around the giant magnon. As an application of these results we confirm that the one-loop correction to the classical energy vanishes as expected.

20 pages, JHEP3 style; v2: minor typos fixed and references added

References in corpus (10)

• Giant Magnons
• Quantum corrections to the string Bethe ansatz
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• On AdS_5 x S^5 String S-matrix
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Infinite spin limit of semiclassical string states
• Dressing the Giant Magnon
• Magnons, Classical Strings and beta-Deformations

Cited by in corpus (6)

• Quantum Wrapped Giant Magnon
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Giant Magnons on CP^3 by Dressing Method
• D1-brane in beta-Deformed Background
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Conformal SO(2,4) Transformations for the Helical AdS String Solution