Boundary state bootstrap and asymptotic overlaps in AdS/dCFT
Tamas Gombor, Zoltan Bajnok
TL;DR
This paper develops a boundary state bootstrap for AdS/CFT, revealing that boundary bound states lack boundary degrees of freedom and providing formulas for overlaps in D3-D5 systems.
Contribution
It introduces a boundary state bootstrap for factorizing K-matrices in AdS/CFT and generalizes overlap formulas for matrix product and Bethe states.
Findings
No boundary degrees of freedom in boundary bound states.
Boundary parameters are shifted in boundary bound states.
Provides asymptotic overlap formulas for D3-D5 systems.
Abstract
We formulate and close the boundary state bootstrap for factorizing K-matrices in AdS/CFT. We found that there are no boundary degrees of freedom in the boundary bound states, merely the boundary parameters are shifted. We use this family of boundary bound states to describe the D3-D5 system for higher dimensional matrix product states and provide their asymptotic overlap formulas. In doing so we generalize the nesting for overlaps of matrix product states and Bethe states.
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