Results 31 to 40 of about 584,117 (206)
On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
, 2004 The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin +2 more
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Galilean contractions of W-algebras
Nuclear Physics B, 2017 Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W-algebras.
Jørgen Rasmussen, Christopher Raymond
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Journal of High Energy Physics, 2023 I investigate the higher-derivative conformal theory which shows how the Nambu-Goto and Polyakov strings can be told apart. Its energy-momentum tensor is conserved, traceless but does not belong to the conformal family of the unit operator.
Yuri Makeenko
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ODE/IM correspondence and supersymmetric affine Toda field equations
Nuclear Physics B, 2022 We study the linear differential system associated with the supersymmetric affine Toda field equations for affine Lie superalgebras, which has a purely odd simple root system.
Katsushi Ito, Mingshuo Zhu
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Conformal Lie 2-algebras and conformal omni-Lie algebras
, 2022 The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal $L_{\infty}$-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
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Loop Heisenberg-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2014 Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
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, 2014 In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid +3 more
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Lie Conformal Algebra Cohomology and the Variational Complex [PDF]
Communications in Mathematical Physics, 2009 56 ...
DE SOLE, ALBERTO, Victor G. Kac
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Bk spin vertex models and quantum algebras
Nuclear Physics B, 2020 We construct new solvable vertex models based on the spin representation of the Lie algebra Bk. We use these models to study the algebraic structure underlying such vertex theories.
Doron Gepner
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On a class of conformal E $$ \mathcal{E} $$ -models and their chiral Poisson algebras
Journal of High Energy Physics, 2023 In this paper, we study conformal points among the class of E $$ \mathcal{E} $$ -models. The latter are σ-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics ...
Sylvain Lacroix
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