Transfer matrices of rational spin chains via novel BGG-type resolutions
DOI10.1007/s00220-022-04620-6zbMath1530.17008arXiv2112.12065MaRDI QIDQ6038749
Aleksander Tsymbaliuk, Ivan Karpov, Rouven Frassek
Publication date: 3 May 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12065
transfer matricesirreducible finite-dimensional representationsclassical Lie algebrasBGG-type formulas
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Simple, semisimple, reductive (super)algebras (17B20)
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Cites Work
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- Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
- Baxter Q-operators and representations of Yangians
- Solutions of the T-system and Baxter equations for supersymmetric spin chains
- Noncompact \(\mathrm{sl}(N)\) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite-dimensional transfer matrices
- Baxter's Q-operators for supersymmetric spin chains
- Moduln mit einem höchsten Gewicht
- A generalization of the Bernstein-Gelfand-Gelfand resolution
- The Grothendieck-Cousin complex of an induced representation
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras
- Isomorphism between the \(R\)-matrix and Drinfeld presentations of Yangian in types \(B\), \(C\) and \(D\)
- Equivalences between three presentations of orthogonal and symplectic Yangians
- Kac-Moody groups, their flag varieties and representation theory
- Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra \(gl(M|N)\)
- A family of \(\mathrm{GL}_r\) multiplicative Higgs bundles on rational base
- Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type
- Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
- A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators
- Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains
- Representations of orthogonal and symplectic Yangians
- Quantum groups and functional relations for arbitrary rank
- Boson-fermion correspondence, QQ-relations and Wronskian solutions of the T-system
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves
- Baxter operators and Hamiltonians for ``nearly all integrable closed \(gl(n\)) spin chains
- \(\mathcal R\)-matrix and Baxter \(\mathcal Q\)-operators for the noncompact \(\mathrm{SL}(N,\mathbb C)\) invariant spin chain
- Locally homogeneous complex manifolds
- Parabolic presentations of the Yangian \(Y(\mathfrak{gl}_n)\)
- Coulomb branches of \(3d\) \(\mathcal{N}=4\) quiver gauge theories and slices in the affine Grassmannian
- FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
- Exercises with the universalR-matrix
- Factorization of \mathcal{R} -matrix and Baxter \mathcal{Q} -operators for genericsl(N) spin chains
- A Geometric Realisation of the Lepowsky Bernstein Gelfand Gelfand Resolution
- The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
- A generalizedQ-operator forUqvertex models
- Quantum Bäcklund transformation for the integrable DST model
- AQ-operator for the twisted XXX model
- The universalR-matrix and factorization of the L-operators related to the Baxter Q-operators
- The ODE/IM correspondence
- Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
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