Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability

Abstract

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin chains even beyond the leading order in perturbation theory. The open spin chain describing the two loop mixing of non-BPS giant gravitons charged under an su(2) of the so(6) R symmetry group is explicitly constructed. It is also shown that although the corresponding open spin chain is integrable at the one loop order, there is a potential breakdown of integrability at two and higher loops. The study of integrability is performed using coordinate Bethe ansatz techniques.

28 pages. References added in revised version

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• Dielectric-Branes
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Cited by in corpus (32)

• Small deformations of supersymmetric Wilson loops and open spin-chains
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Reflecting magnons
• Giant Gravitons - with Strings Attached (II)
• Giant Gravitons - with Strings Attached (I)
• A study of open strings ending on giant gravitons, spin chains and integrability
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Hidden Yangian symmetry in sigma model on squashed sphere
• Classical Open String Integrability
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Emergent Threebrane Lattices
• Fat Magnon
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Giants On Deformed Backgrounds
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Comments on the Boundary Scattering Phase
• The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• The Bethe Ansatz Equations for Reflecting Magnons
• Y-system for Y=0 brane in planar AdS/CFT
• Aspects of Integrability in AdS/CFT Duality
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains
• Bethe ansatz equations for open spin chains from giant gravitons
• Issues on magnon reflection
• Aspects of open strings in Rindler Space
• Revisiting the Y=0 open spin chain at one loop
• Yangians in Deformed Super Yang-Mills Theories
• Noncommutative D-brane from Covariant AdS Superstring
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Aspects of Integrability in N =4 SYM
• A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices
• A boundary matrix for AdS/CFT SU(1|1) spin chain