Integrable achiral D5-brane reflections and asymptotic Bethe equations

We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states aligned along 'vertical' and 'horizontal' directions. We show...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 44; no. 32; pp. 1 - 22
Main Authors CORREA, Diego H, REGELSKIS, Vidas, YOUNG, C. A. S
Format Journal Article
LanguageEnglish
Published Bristol IOP 12.08.2011
Subjects
Asymptotic properties
Boundaries
Exact sciences and technology
Horizontal
Mathematical analysis
Orientation
Physics
Reflection
Scattering
Spin waves
Bethe ansatz
S matrix
Brane world
Magnons
Yang Baxter equation
Online AccessGet full text

Cover

More Information
Summary:We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states aligned along 'vertical' and 'horizontal' directions. We show that the reflections are of the achiral type. We also show that the reflection matrices satisfy the boundary Yang-Baxter equations for both orientations. In the horizontal case, the reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and factorizability of boundary scattering therefore follows from that of bulk scattering. Finally, we solve the nested coordinate Bethe ansatz for the system in the vertical case to find the Bethe equations. In the horizontal case, the Bethe equations are of the same form as those for the closed string.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/44/32/325403