String theories on warped AdS backgrounds and integrable deformations of spin chains

Abstract

We study integrable deformations of AdS/CFT by focusing upon three kinds of warped AdS_3 geometries, 1) space-like warped AdS_3, 2) time-like warped AdS_3 and 3) null warped AdS_3. These geometries are embedded into type IIB supergravity solutions and are regarded as consistent string backgrounds. By restricting the classical motion of strings on the warped AdS_3xS^1 subspace, the Landau-Lifshitz sigma models are derived by taking the fast-moving limit. The first two warped AdS_3 spaces correspond to anisotropic deformations of the sl(2) spin chain and the last one to Jordanian deformations. After taking the continuum limit of the deformed spin chains with coherent states, the resulting theories agree with the Landau-Lifshitz sigma models obtained from the string-theory side.

21 pages, no figure, LaTeX, v2: typos corrected, minor comments and references added

References in corpus (8)

• Gravity duals for non-relativistic CFTs
• Warped AdS_3 Black Holes
• Yangian symmetry in deformed WZNW models on squashed spheres
• The Quantum Deformed Mirror TBA I
• Hidden Yangian symmetry in sigma model on squashed sphere
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix

Cited by in corpus (17)

• Jordanian deformations of the AdS_5xS^5 superstring
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Yang-Baxter sigma models based on the CYBE
• Integrability of classical strings dual for noncommutative gauge theories
• A Jordanian deformation of AdS space in type IIB supergravity
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Schrödinger geometries arising from Yang-Baxter deformations
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Schrodinger Sigma Models and Jordanian Twists
• 3D Supergravity from wrapped D3-branes
• A deformation of quantum affine algebra in squashed WZNW models
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• Yang-Baxter sigma models and Lax pairs arising from $\kappa$-Poincaré $r$-matrices
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Improvement of a conserved current density versus adding a total derivative to a Lagrangian density
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Measurement of inclusive jet cross section and substructure in $p$$+$$p$ collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV