On the central charge extension of the N=4 SYM spin chain

Abstract

In this paper it is argued that the central charge extension of the Coulomb branch of $\mathcal{N}=4$ SYM theory appears as a limit of Beisert's central charge extension of the planar $\mathcal{N}=4$ spin chain in the presence of boundaries. These boundaries are interpreted as D-branes that source the central charge and are realized as giant gravitons and dual giant gravitons in the AdS dual. The BPS states that correspond to short representations of the centrally extended algebra on the spin chain can stop from existing when they cross walls of stability that depend on the position of the branes. These walls can be understood easily at weak coupling in the $SU(2)$ sector.

arXiv comment14 pages. v2: added references

References in corpus (11)

• Dirichlet-Branes and Ramond-Ramond Charges
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Giant Magnons
• Giant Gravitons in Conformal Field Theory
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• All loop BMN state energies from matrices
• Giant gravitons in AdS/CFT (I): matrix model and back reaction
• Giant gravitons: a collective coordinate approach
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Giant magnon bound states from strongly coupled N=4 SYM

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