Finite-size effect of the dyonic giant magnons inN=6super Chern-Simons theory

2008/10/21 by Changrim Ahn, P. Bozhilov · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Magnon #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #String (physics) #String theory #Type (biology) #Upper and lower bounds #hep-th

paper · pdf · doi:10.1103/physrevd.79.046008

published as Phys.Rev.D79:046008,2009 · 15 pages, References added

arxiv created 2008/10/21 · openalex publication_date 2009/02/19 · arxiv updated 2011/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider finite-size effects for the dyonic giant magnon of the type IIA string theory on AdS₄\ifmmode×\else\texttimes\fiℂℙ³ by applying the L"uscher \ensuremathμ-term formula which is derived from a recently proposed S matrix for the N=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.

Citations

• Spinning strings at one-loop in AdS4× ℙ3
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The large N limit of superconformal field theories and supergravity

Cited by

• Quantum strings and the AdS4/CFT3 interpolating function
• Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections