BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields
Advances in High Energy Physics, 2015 We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
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Strings from $N=2$ Gauged Wess-Zumino-Witten Models [PDF]
, 1995 We present an algebraic approach to string theory. An embedding of $sl(2|1)$ in a super Lie algebra together with a grading on the Lie algebra determines a nilpotent subalgebra of the super Lie algebra.
A. Bais +18 more
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Supersymmetric localization in AdS5 and the protected chiral algebra
Journal of High Energy Physics, 2018 N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory admits [1] a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large N limit, we expect this chiral algebra to have a
Federico Bonetti, Leonardo Rastelli
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An extension of Rais' theorem and seaweed subalgebras of simple Lie algebras [PDF]
, 2004 Let $\g$ be a simple Lie algebra of type A or C. We show that the coadjoint representation of any seaweed subalgebra of $\g$ has some properties similar to that of the adjoint representation of a reductive Lie algebra.
Panyushev, Dmitri I.
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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]
AUT Journal of Mathematics and ComputingThe Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
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Trivalent Categories for Adjoint Representations of Exceptional Lie Algebras
, 2022 We consider the universal pivotal, symmetric, monoidal, $\Bbbk$-linear category, generated by a Schurian object with a skew-symmetric multiplication, and study some of its quotients. We show that these quotients give rise to either vector product algebras or representation categories of exceptional Lie algebras.
openaire +2 more sources
Minuscule representations, invariant polynomials, and spectral covers
, 2002 Given a minuscule representation of a simple Lie algebra, we find an algebraic model for the action of a regular element and show that these models can be glued together over the adjoint quotient, viewed as the set of all regular conjugacy classes of the
Friedman, Robert, Morgan, John W.
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Superalgebras in $N=1$ Gauge Theories [PDF]
, 1996 $N=1$ supersymmetric gauge theories with global flavor symmetries contain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the gauge group is
Banks +6 more
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Algebraic Integration of Sigma Model Field Equations
, 2009 We prove that the dualization algebra of the symmetric space coset sigma model is a Lie algebra and we show that it generates an appropriate adjoint representation which enables the local integration of the field equations yielding the first-order ones ...
A. Keurentjes +6 more
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