Results 21 to 30 of about 297 (147)
Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model
Journal of High Energy Physics, 2018 The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation.
René Negrón, Victor O. Rivelles
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Tensor hierarchy algebras and extended geometry. Part I. Construction of the algebra
Journal of High Energy Physics, 2020 Tensor hierarchy algebras constitute a class of non-contragredient Lie superalgebras, whose finite-dimensional members are the “Cartan-type” Lie superalgebras in Kac’s classification. They have applications in mathematical physics, especially in extended
Martin Cederwall, Jakob Palmkvist
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Journal of High Energy Physics, 2017 Counting formulae for general primary fields in free four dimensional conformal field theories of scalars, vectors and matrices are derived. These are specialised to count primaries which obey extremality conditions defined in terms of the dimensions and
Robert de Mello Koch +3 more
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Supergravity backgrounds of the η-deformed AdS2 × S2 × T6 and AdS5 × S5 superstrings
Journal of High Energy Physics, 2019 We construct supergravity backgrounds for the integrable η-deformations of the AdS2 × S2 × T6 and AdS5 × S5 superstring sigma models. The η-deformation is governed by an R-matrix that solves the non-split modified classical Yang-Baxter equation on the ...
Ben Hoare, Fiona K. Seibold
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Quivers with relations for symmetrizable Cartan matrices I: Foundations [PDF]
Inventiones mathematicae, 2016 We introduce and study a class of Iwanaga-Gorenstein algebras defined via quivers with relations associated with symmetrizable Cartan matrices. These algebras generalize the path algebras of quivers associated with symmetric Cartan matrices. We also define a corresponding class of generalized preprojective algebras. Without any assumption on the ground
Geiss, Christof +2 more
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Relations between Clifford Algebra and Dirac Matrices in the Presence of Families
Particles, 2020 The internal degrees of freedom of fermions are in the spin-charge-family theory described by the Clifford algebra objects, which are superposition of an odd number of γ a ’s.
Dragan Lukman +2 more
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Incremental least action principle in the framework of thermodynamics of irreversible processes
Physical Review Research, 2020 In this paper, an incremental least action principle is proposed using the framework of the thermodynamics of irreversible processes. First, we establish that an extensive thermodynamic potential defined over an infinitesimal volume satisfies a ...
V. Magnenet, J. Schmittbuhl
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Coxeter transformation and inverses of Cartan matrices for coalgebras
Journal of Algebra, 2010 Let C be a coalgebra and consider the Grothendieck groups of the categories of the socle-finite injective right and left C-comodules. One of the main aims of the paper is to study Coxeter transformation, and its dual, of a pointed sharp Euler coalgebra C, and to relate the action of these transformations on a class of indecomposable finitely ...
Chin, William, Simson, Daniel
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Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses.
Sofiane Bouarroudj +2 more
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Weighted locally gentle quivers and Cartan matrices
Journal of Pure and Applied Algebra, 2008 We study the class of weighted locally gentle quivers. This naturally extends the class of gentle quivers and gentle algebras, which have been intensively studied in the representation theory of finite-dimensional algebras, to a wider class of potentially infinite-dimensional algebras.
Bessenrodt, Christine, Holm, Thorsten
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