Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review

Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review

A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: controlled nuclear fusion and other nuclear reaction studies in quantum chromod...

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Bibliographic Details
Main Authors: Ion C. Baianu, James F. Glazebrook, Ronald Brown
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
extended quantum symmetries
groupoids and algebroids
quantum algebraic topology (QAT)
algebraic topology of quantum systems
symmetry breaking
paracrystals
superfluids
spin networks and spin glasses
convolution algebras and quantum algebroids
nuclear Fréchet spaces and GNS representations of quantum state spaces (QSS)
groupoid and functor representations in relation to extended quantum symmetries in QAT
quantization procedures
quantum algebras: von Neumann algebra factors
paragroups and Kac algebras
quantum groups and ring structures
Lie algebras
Lie algebroids
Grassmann-Hopf
weak C*-Hopf and graded Lie algebras
weak C*-Hopf algebroids
compact quantum groupoids
quantum groupoid C*-algebras
relativistic quantum gravity (RQG)
supergravity and supersymmetry theories
fluctuating quantum spacetimes
intense gravitational fields
Hamiltonian algebroids in quantum gravity
Poisson-Lie manifolds and quantum gravity theories
quantum fundamental groupoids
tensor products of algebroids and categories
quantum double groupoids and algebroids
higher dimensional quantum symmetries
applications of generalized van Kampen theorem (GvKT) to quantum spacetime invariants
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.051

Internet

http://dx.doi.org/10.3842/SIGMA.2009.051

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