Quantum Wrapped Giant Magnon

Abstract

Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the fundamental excitation of the light-cone gauged string in AdS(5) x S(5), which is the giant magnon solution. We present two independent ways to obtain this correction: the first approach makes use of the algebraic curve description of the giant magnon. The second relies on the purely field-theoretical Luscher formulas, which depend on the world-sheet S-matrix. We demonstrate the agreement to all orders in g/Delta of these approaches, which in particular presents a further test of the S-matrix. We comment on generalizations of this method of computation to other string configurations.

17 pages, 2 figures

References in corpus (8)

• Dressing and Wrapping
• Wrapping interactions at strong coupling -- the giant magnon
• Gauge invariant finite size spectrum of the giant magnon
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Finite-Size Effects for Dyonic Giant Magnons
• Constructing the AdS/CFT dressing factor
• Finite size effects for giant magnons on physical strings

Cited by in corpus (6)

• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Interacting finite-size magnons