Results 41 to 50 of about 2,880 (181)
Novel families of SU(N) AKLT states with arbitrary self-conjugate edge states
Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color SU(N) symmetry, finite correlation lengths, and edge states that can belong to any self ...
Samuel Gozel +3 more
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On conjugating representations and adjoint representations of semisimple groups
Let G be a reductive algebraic group over an algebraically closed field k and let G act (as k-algebra automorphisms) on a finitely generated k- algebra A. Suppose the algebra of invariants, \(C=A\) G, is a free polynomial k-algebra and that A is flat as a C-module.
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Adjoint Representations of the Symmetric Group
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules.
Can, Mahir Bilen, Jones, Miles
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BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields
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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Adjoint Majorana QCD2 at finite N
The mass spectrum of 1 + 1-dimensional SU(N) gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large N limit using Light-Cone Quantization.
Ross Dempsey +3 more
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Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]
Reconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan +5 more
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Structure of the Enveloping Algebras
The adjoint representations of several small dimensional Lie algebras on their universal enveloping algebras are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements.
Č. Burdík, O. Navrátil, S. Pošta
doaj
Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra
We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow SU(5) model.
P. D. Alvarez, R. A. Chavez, J. Zanelli
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The adjoint representation of group algebras and enveloping algebras [PDF]
In this paper we study the Hopf adjoint action of group algebras and enveloping algebras. We are particularly concerned with determining when these representations are faithful. Delta methods allow us to reclute the problem to certain better behaved subalgebras.
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THEORY OF LOOPS AND STRINGS WITH MATTER IN THE ADJOINT REPRESENTATION
We have presented canonical and path integral formulations of a theory of loops and closed strings with the matter field quanta transforming in the adjoint representation of the SU (N) gauge group. The physical processes arising out of the interactions of loops and closed strings are discussed.
Jnanadeva Maharana +1 more
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