Quantizing Open Spin Chains with Variable Length: an example from Giant Gravitons

Abstract

We study an XXX open spin chain with variable number of sites, where the variability is introduced only at the boundaries. This model arises naturally in the study of Giant Gravitons in the AdS/CFT correspondence. We show how to quantize the spin chain by mapping its states to a bosonic lattice of finite length with sources and sinks of particles at the boundaries. Using coherent states, we show how the Hamiltonian for the bosonic lattice gives the correct description of semiclassical open strings ending on Giant Gravitons.

4 pages. v2: updated references

References in corpus (4)

• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• Integrable open spin chains from giant gravitons
• SL(2) spin chain and spinning strings on AdS_5xS^5

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