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Finite-size effect of the dyonic giant magnons in N 6 super Chern-Simons theory Changrim Ahn* and P. Bozhilov
 

Summary: Finite-size effect of the dyonic giant magnons in N ¼ 6 super Chern-Simons theory
Changrim Ahn* and P. Bozhilov
Department of Physics Ewha Womans University DaeHyun 11-1, Seoul 120-750, Republic of Korea
(Received 4 December 2008; published 19 February 2009)
We consider finite-size effects for the dyonic giant magnon of the type IIA string theory on AdS4 Â
CP3
by applying the Lu¨scher -term formula which is derived from a recently proposed S matrix for the
N ¼ 6 super Chern-Simons theory. We compute explicitly the effect for the case of a symmetric
configuration where the two external bound states, each of A and B particles, have the same momentum p
and spin J2. We compare this with the classical string theory result which we computed by reducing it to
the Neumann-Rosochatius system. The two results match perfectly.
DOI: 10.1103/PhysRevD.79.046008 PACS numbers: 11.25.Tq, 03.70.+k, 04.60.Cf
I. INTRODUCTION
The AdS/CFT correspondence between type IIB string
theory on AdS5 Â S5 and N ¼ 4 super Yang-Mills
(SYM) theory [1­3] led to many exciting developments
and to understanding nonperturbative structures of the
string and gauge theories. Recently, an exciting possibility
that the same type of duality does exist in three-
dimensional gauge theory has been discovered. The prom-

  

Source: Ahn, Changrim - Department of Physics, Ewha Womans University

 

Collections: Physics