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N=2 Supersymmetric Dynamics for Pedestrians (Paperback, 2015 ed.)
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N=2 Supersymmetric Dynamics for Pedestrians (Paperback, 2015 ed.)
Series: Lecture Notes in Physics, 890
Expected to ship within 10 - 15 working days
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Understanding the dynamics of gauge theories is crucial, given the
fact that all known interactions are based on the principle of
local gauge symmetry. Beyond the perturbative regime, however, this
is a notoriously difficult problem. Requiring invariance under
supersymmetry turns out to be a suitable tool for analyzing
supersymmetric gauge theories over a larger region of the space of
parameters. Supersymmetric quantum field theories in four
dimensions with extended N=2 supersymmetry are further constrained
and have therefore been a fertile field of research in theoretical
physics for quite some time. Moreover, there are far-reaching
mathematical ramifications that have led to a successful dialogue
with differential and algebraic geometry. These lecture notes aim
to introduce students of modern theoretical physics to the
fascinating developments in the understanding of N=2 supersymmetric
gauge theories in a coherent fashion. Starting with a gentle
introduction to electric-magnetic duality, the author guides
readers through the key milestones in the field, which include the
work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As
an advanced graduate level text, it assumes that readers have a
working knowledge of supersymmetry including the formalism of
superfields, as well as of quantum field theory techniques such as
regularization, renormalization and anomalies. After his graduation
from the University of Tokyo, Yuji Tachikawa worked at the
Institute for Advanced Study, Princeton and the Kavli Institute for
Physics and Mathematics of the Universe. Presently at the
Department of Physics, University of Tokyo, Tachikawa is the author
of several important papers in supersymmetric quantum field
theories and string theory.
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