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This authoritative volume in honor of Alain Connes, the foremost
architect of Noncommutative Geometry, presents the state-of-the art
in the subject. The book features an amalgam of invited survey and
research papers that will no doubt be accessed, read, and referred
to, for several decades to come. The pertinence and potency of new
concepts and methods are concretely illustrated in each
contribution. Much of the content is a direct outgrowth of the
Noncommutative Geometry conference, held March 23-April 7, 2017, in
Shanghai, China. The conference covered the latest research and
future areas of potential exploration surrounding topology and
physics, number theory, as well as index theory and its
ramifications in geometry.
This authoritative volume in honor of Alain Connes, the foremost
architect of Noncommutative Geometry, presents the state-of-the art
in the subject. The book features an amalgam of invited survey and
research papers that will no doubt be accessed, read, and referred
to, for several decades to come. The pertinence and potency of new
concepts and methods are concretely illustrated in each
contribution. Much of the content is a direct outgrowth of the
Noncommutative Geometry conference, held March 23-April 7, 2017, in
Shanghai, China. The conference covered the latest research and
future areas of potential exploration surrounding topology and
physics, number theory, as well as index theory and its
ramifications in geometry.
These lectures give an elementary introduction to the important
recent developments of the applications of N=1 supergravity to the
construction of unified models of elementary particle interactions.
Topics covered include couplings of supergravity with matter,
spontaneous symmetry breaking and the super-higgs effect,
construction of supergravity unified models, and the phenomenon of
SU(2) x U(1) electroweak-symmetry breaking by supergravity.
Experimental consequences of N-1 supergravity unified theory, in
particular, the possible supersymmetric decays of the W+/- and Z0
bosons, are also discussed. The treatment presented encompasses a
broad class of models, both of the tree breaking as well as the
radiative breaking of SU(2) x U(1). Rules of tensor calculus and
the explicit construction of the Lagrangian of the
Supergravity-matter couplings are given in the appendix.
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