Spectrum of quantum transfer matrices via classical many-body systems (Q270317)

scientific article

Language	Label	Description	Also known as
English	Spectrum of quantum transfer matrices via classical many-body systems	scientific article

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instance of

scholarly article

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title

Spectrum of quantum transfer matrices via classical many-body systems (English)

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published in

Journal of High Energy Physics

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publication date

7 April 2016

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full work available at URL

https://arxiv.org/abs/1310.6958

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zbMATH Keywords

duality in gauge field theories

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integrable hierarchies

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Bethe ansatz

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MaRDI publication profile

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cites work

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Q2738419

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Bispectral and $(\mathfrak{gl}_N,\mathfrak{gl}_M)$ dualities, discrete versus differential

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Spectral duality between Heisenberg chain and Gaudin model

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Three integrable Hamiltonian systems connected with isospectral deformations

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TOWARDS A PROOF OF AGT CONJECTURE BY METHODS OF MATRIX MODELS

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$N=4$ dualities

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Liouville correlation functions from four-dimensional gauge theories

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On AGT relation in the case of $U(3)$

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Nekrasov functions and exact Bohr-Sommerfeld integrals

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Q3652085

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Quantization of Integrable Systems and Four Dimensional Gauge Theories

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On three dimensional quiver gauge theories and integrability

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Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\mathfrak{gl}_{N}$

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KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians

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Classical tau-function for quantum spin chains

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The master $T$-operator for vertex models with trigonometric $R$-matrices as a classical $\tau$-function

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Quantum integrable models and discrete classical Hirota equations

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The algebraic Bethe ansatz and quantum integrable systems

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Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)

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Bethe eigenvectors of higher transfer matrices

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The nested Bethe ansatz for ‘all’ closed spin chains

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Analytical Bethe ansatz for closed and open<i>gl</i>(Script N)-spin chains in any representation

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The omega deformation, branes, integrability and Liouville theory

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$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory

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Identifiers

zbMATH Open document ID

1333.81244

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DOI

10.1007/JHEP01(2014)070

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:270317