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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Introduction to Supergravity (Paperback, 2014 ed.)
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Introduction to Supergravity (Paperback, 2014 ed.)
Series: SpringerBriefs in Mathematical Physics, 1
Expected to ship within 10 - 15 working days
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This book is a pedagogical introduction to supergravity, a
gravitational field theory that includes supersymmetry (symmetry
between bosons and fermions) and is a generalization of Einstein's
general relativity. Supergravity provides a low-energy effective
theory of superstring theory, which has attracted much attention as
a candidate for the unified theory of fundamental particles, and it
is a useful tool for studying non-perturbative properties of
superstring theory such as D-branes and string duality. This work
considers classical supergravities in four and higher spacetime
dimensions with their applications to superstring theory in mind.
More concretely, it discusses classical Lagrangians (or field
equations) and symmetry properties of supergravities. Besides local
symmetries, supergravities often have global non-compact
symmetries, which play a crucial role in their applications to
superstring theory. One of the main features of this book is its
detailed discussion of these non-compact symmetries. The aim of the
book is twofold. One is to explain the basic ideas of supergravity
to those who are not familiar with it. Toward that end, the
discussions are made both pedagogical and concrete by stating
equations explicitly. The other is to collect relevant formulae in
one place so as to be useful for applications to string theory. The
subjects discussed in this book include the vielbein formulation of
gravity, supergravities in four dimensions, possible types of
spinors in various dimensions, superalgebras and supermultiplets,
non-linear sigma models for non-compact Lie groups,
electric-magnetic duality symmetries, supergravities in higher
dimensions, dimensional reductions, and gauged and massive
supergravities.
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