Integrability of Green-Schwarz Sigma Models with Boundaries

Abstract

We construct integrability preserving boundary conditions for Green-Schwarz sigma-models on semi-symmetric spaces. The boundary conditions are expressed as gluing conditions of the flat-connection, using an involutive metric preserving automorphism. We show that the boundary conditions preserve half of the space-time supersymmetry and an infinite set of conserved charges. We find integrable D-brane configurations for AdS_5 x S^5 and AdS_4 x CP^3 backgrounds.

24 pages. v2 references added. v3 typos fixed, sec. 3 improved, references added, published version

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• A study of open strings ending on giant gravitons, spin chains and integrability
• Classical Open String Integrability
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Branes in the GL(1|1) WZNW-Model
• Yangian symmetry of the Y=0 maximal giant graviton
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Cited by in corpus (36)

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• Integrable domain walls in ABJM theory
• The spectrum of tachyons in AdS/CFT
• The AdS Veneziano amplitude at small curvature
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• String integrability of defect CFT and dynamical reflection matrices
• Integrable asymmetric $\lambda$-deformations
• Algebraic Curves for Factorized String Solutions
• Y-system for Y=0 brane in planar AdS/CFT
• D1 and D5-brane giant gravitons on $Ad{S}_3\times S^3\times S^3\times S^1$
• String integrability of the ABJM defect
• D-branes in $\lambda$-deformations
• Structure constants of operators on the Wilson loop from integrability
• Holographic correlators of semiclassical states in defect CFTs
• Spectral curve for open strings attached to the Y=0 brane
• Revisiting the Y=0 open spin chain at one loop
• On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models
• Integrable crosscaps in classical sigma models
• Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
• Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries
• B-type anomaly coefficients for the D3-D5 domain wall
• D5-brane boundary reflection factors
• From algebraic curve to minimal surface and back
• Holography of a novel codimension-2 defect CFT
• Oscillating Multiple Giants
• Integrability structures in string theory
• Consistent bilinear Wess-Zumino term for open AdS superstring
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Turbulence on open string worldsheets under non-integrable boundary conditions
• Three-Point Functions in ABJM and Bethe Ansatz
• Holographic interpolations of defect CFTs
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Integrable branes in generalized $\lambda$-deformations