# Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.

Baianu, Ion C.; Glazebrook, James F.; Brown, Ronald

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] (2009)

- Volume: 5, page Paper 051, 70 p., electronic only-Paper 051, 70 p., electronic only
- ISSN: 1815-0659

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topBaianu, Ion C., Glazebrook, James F., and Brown, Ronald. "Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.." SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] 5 (2009): Paper 051, 70 p., electronic only-Paper 051, 70 p., electronic only. <http://eudml.org/doc/55337>.

@article{Baianu2009,

author = {Baianu, Ion C., Glazebrook, James F., Brown, Ronald},

journal = {SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]},

keywords = {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 -Hopf and graded Lie algebras; weak -Hopf algebroids; compact quantum groupoids; quantum groupoid -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; weak -Hopf and graded Lie algebras; weak -Hopf algebroids; quantum groupoid -algebras},

language = {eng},

pages = {Paper 051, 70 p., electronic only-Paper 051, 70 p., electronic only},

publisher = {Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine},

title = {Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.},

url = {http://eudml.org/doc/55337},

volume = {5},

year = {2009},

}

TY - JOUR

AU - Baianu, Ion C.

AU - Glazebrook, James F.

AU - Brown, Ronald

TI - Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.

JO - SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

PY - 2009

PB - Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine

VL - 5

SP - Paper 051, 70 p., electronic only

EP - Paper 051, 70 p., electronic only

LA - eng

KW - 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 -Hopf and graded Lie algebras; weak -Hopf algebroids; compact quantum groupoids; quantum groupoid -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; weak -Hopf and graded Lie algebras; weak -Hopf algebroids; quantum groupoid -algebras

UR - http://eudml.org/doc/55337

ER -

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