Quantum Wrapped Giant Magnon
Pedro Vieira
Laboratoire de Physique Théorique de l'ENS
Fri, Mar. 28th 2008, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
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.