Results 41 to 50 of about 72,094 (282)
Journal of High Energy Physics, 2019 We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and ...
Joaquim Gomis +2 more
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Struktur Simplektik pada Aljabar Lie Affine aff(2,R)
Jambura Journal of MathematicsIn this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency +2 more
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W-strings from affine Lie algebras [PDF]
Physics Letters B, 1994 The most disappointing aspect of $\W$-strings is probably the fact that at least for the known models one does not recover a physical spectrum that differs much from that of ordinary string theory. It is hoped that this is not an intrinsic shortcoming of $\W$-string theory, but rather that it is a consequence of the $\W$-algebra realizations that have ...
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Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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String partition functions, Hilbert schemes and affine Lie algebra representations on homology groups [PDF]
, 2012 This review paper contains a concise introduction to highest weight representations of infinite-dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of ...
L. Bonora, A. Bytsenko, E. Elizalde
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Calculations on Lie Algebra of the Group of Affine Symplectomorphisms
Advances in Mathematical Physics, 2017 We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
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The geometry of Casimir W-algebras
SciPost Physics, 2018 Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
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Locally Homogeneous Manifolds Defined by Lie Algebra of Infinitesimal Affine Transformations
Mathematics, 2022 This article deals with Lie algebra G of all infinitesimal affine transformations of the manifold M with an affine connection, its stationary subalgebra ℌ⊂G, the Lie group G corresponding to the algebra G, and its subgroup H⊂G corresponding to the ...
Vladimir A. Popov
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Tensor categories of affine Lie algebras beyond admissible levels [PDF]
, 2020 We show that if V is a vertex operator algebra such that all the irreducible ordinary V -modules are $$C_1$$ C 1 -cofinite and all the grading-restricted generalized Verma modules for V are of finite length, then the category of finite length generalized
T. Creutzig, Jinwei Yang
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Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey [PDF]
, 2010 This is a survey on extended affine Lie algebras and related types of Lie algebras, which generalize affine Lie algebras.
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