Non-integrability in AdS${}_3$ vacua

Abstract

We ask the question of classical integrability for certain (classes of) supergravity vacua that contain an AdS${}_3$ factor arising in massive IIA and IIB theories and realizing various and different amounts of supersymmetry. Our approach is based on a well-established method of analytic non-integrability for Hamiltonian systems. To detect a non-integrable sector we consider a non-trivially wrapped string soliton and study its fluctuations. We answer in the negative for each and every one of the supergravity solutions. That is, of course, modulo very specific limits where the metrics reduce to the AdS${}_3\times$ S${}^3\times {\tilde{S}}^3\times$ S${}^1$ and AdS${}_3\times$ S${}^3\times$ T${}^4$ solutions which are known to be integrable.

40 pages, 4 figures, 1 table

References in corpus (90)

• Gauge Theory Correlators from Non-Critical String Theory
• N=2 dualities
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Black Hole Entropy in M-Theory
• The D1/D5 System And Singular CFT
• Lax Pair for Strings in Lunin-Maldacena Background
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Supersymmetric AdS_5 solutions of M-theory
• The D4-D8 Brane System and Five Dimensional Fixed Points
• Branes and Six Dimensional Supersymmetric Theories
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Integrability and the AdS(3)/CFT(2) correspondence
• On non-abelian T-dual geometries with Ramond fluxes
• Branes at Orbifolds versus Hanany Witten in Six Dimensions
• All AdS_7 solutions of type II supergravity
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Deformations of N=4 SYM and integrable spin chain models
• Supersymmetric AdS_6 via T-duality
• Holography for (1,0) theories in six dimensions
• On The Conformal Field Theory Of The Higgs Branch
• G-Structures, Fluxes and Calibrations in M-Theory
• Gravity duals of half-BPS Wilson loops
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity I: Local solutions
• On Penrose Limits and Gauge Theories
• AdS_6 solutions of type II supergravity
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
• Holographic duals for five-dimensional superconformal quantum field theories
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• Integrable deformations of T-dual $\sigma$ models
• Chaos in the Gauge/Gravity Correspondence
• String Theory in Magnetic Monopole Backgrounds
• String Theory Effects on Five-Dimensional Black Hole Physics
• On Type IIA geometries dual to N = 2 SCFTs
• 6d holographic anomaly match as a continuum limit
• Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Analytic Non-integrability in String Theory
• Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• 4d N=2 superconformal linear quivers with type IIA duals
• F-theory and AdS_3/CFT_2
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• On (non)integrability of classical strings in p-brane backgrounds
• AdS in Warped Spacetimes
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• On Marginal Deformations and Non-Integrability
• Testing $Ad{S}_6/CF{T}_5$ in Type IIB with stringy operators
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• The non-Integrability of Strings in Massive Type IIA and their Holographic duals
• AdS${}_3$ solutions with exceptional supersymmetry
• Non-integrability in non-relativistic theories
• Chiral 2d Theories from N=4 SYM with Varying Coupling
• AdS${}_7$/CFT${}_6$ with orientifolds
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• Little strings and T-duality
• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• Supersymmetry of AdS and flat backgrounds in M-theory
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• Large superconformal near-horizons from M-theory
• AdS${}_{\text{2}}$ solutions and their massive IIA origin
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• AdS${}_2$ Type-IIA Solutions and Scale Separation
• AdS5 compactifications with punctures in massive IIA supergravity
• Type IIB 7-branes in warped $Ad{S}_6$: partition functions, brane webs and probe limit
• Non-integrability on AdS${}_3$ supergravity backgrounds
• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Holography, Brane Intersections and Six-dimensional SCFTs
• Minimal flux Minkowski classification
• Non-integrability and Chaos with Unquenched Flavor
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• The Leigh-Strassler Deformation and the Quest for Integrability
• $Ad{S}_2\times S^6$ versus $Ad{S}_6\times S^2$ in Type IIB supergravity
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Nonrelativistic pulsating strings
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• Classifying integrable symmetric space strings via factorized scattering
• ${\text{AdS}}_2\times S^7$ solutions from D0 $-$ F1 $-$ D8 intersections
• Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• Heterotic AdS_3/CFT_2 duality with (0,4) spacetime supersymmetry
• Constraining integrable AdS/CFT with factorized scattering
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Non-integrability of the $\Omega$-deformation
• The dual string sigma-model of the SU_q(3) sector

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• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• N=(0,4) Black String Chains
• Chaotic spin chains in AdS/CFT
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• Turbulence on open string worldsheets under non-integrable boundary conditions
• Investigating (Non)-Integrability and Pulsating String in D3-Brane Background