Novel integrability in string theory from automorphic symmetries

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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The complete ${\mathrm{AdS}}_3\times \mathrm{S}^3\times \mathrm{T}^4$ worldsheet S matrix
On the massless modes of the $\mathrm{AdS}_3/\mathrm{CFT}_2$ integrable systems
The all-loop integrable spin-chain for strings on $\mathrm{AdS}_3\times S^3\times T^4$: the massive sector
Towards a two-parameter $q$-deformation of $\mathrm{AdS}_3 \times S^3 \times M^4$ superstrings
Quantum inverse problem method. I
The $\mathfrak{su}(2|2)$ dynamic S-matrix
Quantum version of the method of inverse scattering problem
Reaction-diffusion processes, critical dynamics, and quantum chains
Type IIB superstring action in $\text{AdS}_5\times S^5$ background
New rational solutions of Yang-Baxter equation and deformed Yangians
Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems
The large-$N$ limit of superconformal field theories and supergravity
Volume dependence of the energy spectrum in massive quantum field theories. I: Stable particle states
The integrable harmonic map problem versus Ricci flow
Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
Integrable deformations of AdS/CFT
Partition function of the eight-vertex lattice model
Lectures on Yangian symmetry
Integrability test for spin chains
A quantum affine algebra for the deformed Hubbard chain
The AdS₃× S³× S³× S¹worldsheetSmatrix
Quantum deformations of the one-dimensional Hubbard model
Foundations of the AdS₅× S⁵superstring: I
Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
Towards integrability for ${\rm Ad}{{{\rm S}}_{{\bf 3}}}/{\rm CF}{{{\rm T}}_{{\bf 2}}}$
Long-range deformations for integrable spin chains
New integrable 1D models of superconductivity
Classifying integrable spin-1/2 chains with nearest neighbour interactions
Quantum groups
Automorphic symmetries and $AdS_n$ integrable deformations

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