Hermitian \((\varepsilon, \delta)\)-Freudenthal-Kantor triple systems and certain applications of \(*\)-generalized Jordan triple systems to field theory

DOI10.1155/2014/310264zbMath1425.17004OpenAlexW1963990741WikidataQ59044734 ScholiaQ59044734MaRDI QIDQ2337691

Noriaki Kamiya, Matsuo Sato

Publication date: 20 November 2019

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/310264

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Jordan structures associated with other structures (17C50) Applications of Jordan algebras to physics, etc. (17C90) Ternary compositions (17A40)

Related Items (1)

On certain algebraic structures associated with Lie (super)algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathcal N = 8\) superconformal gauge theories and \(M2\) branes
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• \(\mathcal = 5, 6\) superconformal Chern-Simons theories and M2-branes on orbifolds
• Unifying \( \mathcal{N} = 5 \) and \( \mathcal{N} = 6 \)
• Plücker-type relations for orthogonal planes
• A novel large-N reduction on \(S^{3}\): demonstration in Chern-Simons theory
• Quantized Nambu-Poisson manifolds in a 3-Lie algebra reduced model
• A new class of nonassociative algebras with involution
• Algebraic structures on parallel M2 branes
• On the Lie-algebraic origin of metric 3-algebras
• A structure theory of Freudenthal-Kantor triple systems
• On the radical of \(J^*\)-triples
• Algebraic characterization of symmetric complex Banach manifolds
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• M-brane models from non-abelian gerbes
• On the space-time uncertainty principle and holography
• Model of M-theory with eleven matrices
• Classification of \(\mathcal{N} = 6\) superconformal theories of ABJM type
• Janus configurations, Chern-Simons couplings, and the {\(\theta\)}-angle in \(\mathcal{N} = 4\) super Yang-Mills theory
• The ABJM model is a higher gauge theory
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• COVARIANT FORMULATION OF M-THEORY
• LARGE N REDUCTION ON GROUP MANIFOLDS
• On the peirce decompositions for freudenthal—kantor triple systems
• A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order
• A construction of simple Lie subalgebras of certain types from triple systems
• On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems
• CONSTRUCTION OF LIE SUPERALGEBRAS $D(2,1;\alpha)$,\$G(3)$ AND $F(4)$ FROM SOME TRIPLE SYSTEMS
• Generalized Hamiltonian Dynamics
• Supermembranes and eleven-dimensional supergravity
• On the quantum mechanics of supermembranes
• Six-dimensional (1,0) superconformal models and higher gauge theory
• M-theory as a matrix extension of Chern-Simons theory
• Supermatrix models

This page was built for publication: Hermitian \((\varepsilon, \delta)\)-Freudenthal-Kantor triple systems and certain applications of \(*\)-generalized Jordan triple systems to field theory