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020 _a9783319088228
_9978-3-319-08822-8
024 7 _a10.1007/978-3-319-08822-8
_2doi
050 4 _aQC174.45-174.52
072 7 _aPHS
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHS
_2thema
082 0 4 _a530.14
_223
100 1 _aTachikawa, Yuji.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aN=2 Supersymmetric Dynamics for Pedestrians
_h[electronic resource] /
_cby Yuji Tachikawa.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXVIII, 224 p. 122 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v890
505 0 _aIntroduction -- Electromagnetic Duality and monopoles -- N=2 Multiplets and Lagrangians -- Renormalization and Anomaly -- Seiberg-Witten Solution to Pure SU(2) Theory -- SU(2) Theory With one Flavor -- Curves and 6d N=2;0) theory -- Higgs Brances and Hyperkähler Manifolds -- SU (2) Theory With 2 and 3 Flavors -- SU (2) Theory With 4 Flavors and Gaiotto`s Duality -- Argyres-Douglas CFTs -- Theories With Other Simple Gauge Groups -- Argyres-Seiberg-Gaiotto Duality for SU (N) Theory -- Conclusions and Further Directions -- Prepotential and the Instanton Computation -- The Zoo of N=2 Theories.
520 _aUnderstanding 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.
650 1 4 _aQuantum Field Theories, String Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19048
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aParticle and Nuclear Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P23002
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319088235
776 0 8 _iPrinted edition:
_z9783319088211
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v890
856 4 0 _uhttps://doi.org/10.1007/978-3-319-08822-8
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10021
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