A study of open strings ending on giant gravitons, spin chains and integrability

Abstract

We systematically study the spectrum of open strings attached to half BPS giant gravitons in the N=4 SYM AdS/CFT setup. We find that some null trajectories along the giant graviton are actually null geodesics of AdS_5x S^5, so that we can study the problem in a plane wave limit setup. We also find the description of these states at weak 't Hooft coupling in the dual CFT. We show how the dual description is given by an open spin chain with variable number of sites. We analyze this system in detail and find numerical evidence for integrability. We also discover an interesting instability of long open strings in Ramond-Ramond backgrounds that is characterized by having a continuum spectrum of the string, which is separated from the ground state by a gap. This instability arises from accelerating the D-brane on which the strings end via the Ramond-Ramond field. From the integrable spin chain point of view, this instability prevents us from formulating the integrable structure in terms of a Bethe Ansatz construction.

38 pages+appendices, 9 figures. Uses JHEP3. v2: added references

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• Correlators, Probabilities and Topologies in N=4 SYM
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• Reflecting Magnon Bound States
• Open spin chains for giant gravitons and relativity
• Cut-and-join operators and N=4 super Yang-Mills
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Correlators Of Operators with a Large R-charge
• Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
• Finite size corrections for open strings/open chains in planar AdS/CFT
• The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
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• Higher Loop Nonplanar Anomalous Dimensions from Symmetry
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• Anomalous Dimensions of Heavy Operators from Magnon Energies
• Relation between large dimension operators and oscillator algebra of Young diagrams
• Zero Modes for the Boundary Giant Magnons
• BPS Condensates, Matrix Models and Emergent String Theory
• Finite N Quiver Gauge Theory
• Graph duality as an instrument of Gauge-String correspondence
• String junctions suspended between giants
• Generating Functions for Giant Graviton Bound States
• Giant magnons and non-maximal giant gravitons
• S^2 x S^3 geometries in ABJM and giant gravitons
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• Correlation functions of determinant operators in conformal fishnet theory
• Wrapping effects in supersymmetric gauge theories
• Mass-spin relation for quark anti-quark bound states in non-commutative Yang-Mills theory
• Heavy Operators in Superconformal Chern-Simons Theory
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Three-Point Functions in ABJM and Bethe Ansatz
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM