Surface defects and elliptic quantum groups
From MaRDI portal
Publication:683096
DOI10.1007/JHEP06(2017)013zbMath1380.81157arXiv1701.05562MaRDI QIDQ683096
Publication date: 5 February 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05562
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on lattices (81T25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)
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Cites Work
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- The geometry of supersymmetric partition functions
- 2d index and surface operators
- Bootstrapping the superconformal index with surface defects
- Quivers, YBE and 3-manifolds
- Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
- Rigid supersymmetric theories in curved superspace
- Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
- Inversions of integral operators and elliptic beta integrals on root systems
- Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories
- Transformations of elliptic hypergeometric integrals
- The elliptic \(\text{GL}(n)\) dynamical quantum group as an \(\mathfrak h\)-Hopf algebroid
- Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)
- Solvable lattice models related to the vector representation of classical simple Lie algebras
- The \(A_ n^{(1)}\) face models
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Elliptic quantum groups and Ruijsenaars models
- Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
- Ruijsenaars' commuting difference operators as commuting transfer matrices
- Elliptic U(2) quantum group and elliptic hypergeometric series
- Electric-magnetic duality in supersymmetric non-abelian gauge theories
- Dynamical symmetry of integrable quantum systems
- An elliptic Virasoro symmetry in 6d
- \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
- A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations
- Superconformal index with surface defects for class \(\mathcal{S}_k\)
- An index for 4 dimensional super conformal theories
- Partition function of the eight-vertex lattice model
- New elliptic solutions of the Yang-Baxter equation
- \( \mathcal{N}=1 \) theories of class \( {\mathcal{S}}_k \)
- Quiver gauge theories and integrable lattice models
- Factorisation and holomorphic blocks in 4d
- Chiral Potts model as a descendant of the six-vertex model
- A Bailey tree for integrals
- YANG-BAXTER EQUATION FOR BROKEN $\mathbb{Z}_N^{\otimes n-1}$ MODELS
- On the elliptic beta function
- Elliptic beta integrals and solvable models of statistical mechanics
- Integrable lattice models from four-dimensional field theories
- Branes and integrable lattice models
- Continuous biorthogonality of an elliptic hypergeometric function
- AN $A_{n - 1}^{\left( 1 \right)} $ FAMILY OF SOLVABLE LATTICE MODELS
- Theta hypergeometric integrals
- Surface defects as transfer matrices
- Yang-Baxter equation, parameter permutations, and the elliptic beta integral
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.
