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

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Cited by in corpus (21)

• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Superstrings in AdS(2)xS(2)xT(6)
• Quantum Wrapped Giant Magnon
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Scattering of single spikes
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Giant Magnons on CP^3 by Dressing Method
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• D1-brane in beta-Deformed Background
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Quantum Giant Magnons
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Worldsheet one-loop energy correction to IIA Giant Magnon