On spectrum of ILW hierarchy in conformal field theory II: coset CFT's
From MaRDI portal
Publication:6256361
DOI10.1007/JHEP02(2015)150zbMath1518.81087arXiv1411.3313OpenAlexW3104620448MaRDI QIDQ6256361
Alexey Litvinov, M. N. Alfimov
Publication date: 12 November 2014
Full work available at URL: https://doi.org/10.1007/jhep02(2015)150
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly and quasi-solvable systems arising in quantum theory (81U15)
Related Items
Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations, Explicit examples of DIM constraints for network matrix models, Defects and quantum Seiberg-Witten geometry, The condensate from torus knots, Integrals of motion from quantum toroidal algebras, On dimensional transmutation in 1 + 1D quantum hydrodynamics, Quantum transfer-matrices for the sausage model, Quantum hydrodynamics from large-\(n\) supersymmetric gauge theories, The Grassmannian VOA, Instanton R-matrix and \(\mathcal{W}\)-symmetry, The matrix-extended \({\mathcal{W}}_{1+\infty}\) algebra, \(3d\) field theory, plane partitions and triple Macdonald polynomials, On elliptic algebras and large-n supersymmetric gauge theories, Affine Yangian of \(\mathfrak{gl}(2)\) and integrable structures of superconformal field theory, A slow review of the AGT correspondence
Cites Work
- Unnamed Item
- Integrable structure of quantum field theory: classical flat connections versus quantum stationary states
- Givental \(J\)-functions, quantum integrable systems, AGT relation with surface operator
- Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
- Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories
- Instantons on ALE spaces and super Liouville conformal field theories
- Instantons and 2d superconformal field theory
- Quantum cohomology of the Springer resolution
- The quantum differential equation of the Hilbert scheme of points in the plane
- Coset conformal field theory and instanton counting on \(\mathbb{C}^{2}/\mathbb{Z}_{p}\)
- On spectrum of ILW hierarchy in conformal field theory
- ODE/IM correspondence for the Fateev model
- Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator
- Virasoro algebras and coset space models
- Yangian Gelfand-Zetlin bases, \({\mathfrak gl}_N\)-Jack polynomials and computation of dynamical correlation functions in the spin Calogero-Sutherland model
- Higher-level eigenvalues of \(Q\)-operators and Schrödinger equation
- Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
- The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
- Instanton moduli spaces and bases in coset conformal field theory
- Liouville correlation functions from four-dimensional gauge theories
- Parafermionic Liouville field theory and instantons on ALE spaces
- Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation.
- Quantum cohomology of the Hilbert scheme of points on 𝒜_{𝓃}-resolutions
- Notes on collective field theory of matrix and spin Calogero models
- Yang-Baxter equation in long-range interacting systems
- The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\)