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020 _a9783037195796
024 7 0 _a10.4171/079
_2doi
040 _ach0018173
072 7 _aPBMP
_2bicssc
084 _a53-xx
_a81-xx
_a83-xx
_2msc
245 1 0 _aHandbook of Pseudo-Riemannian Geometry and Supersymmetry
_h[electronic resource] /
_cVicente Cortés
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2010
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2010
300 _a1 online resource (964 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aIRMA Lectures in Mathematics and Theoretical Physics (IRMA)
_v16
505 0 0 _tQuaternion-Kähler spaces, hyper-Kähler cones, and the c-map /
_rMartin Roček, Cumrun Vafa, Stefan Vandoren --
_tDifferential forms on quaternionic Kähler manifolds /
_rGregor Weingart --
_tSasakian geometry, holonomy, and supersymmetry /
_rCharles P. Boyer, Krzysztof Galicki† --
_tSpecial geometry for arbitrary signatures /
_rMaría A. Lledó, Óscar Maciá, Antoine Van Proeyen, Veeravalli S. Varadarajan --
_tSpecial geometry, black holes and Euclidean supersymmetry /
_rThomas Mohaupt --
_tGeneralized geometry – an introduction /
_rNigel Hitchin --
_tGeneralizing geometry – algebroids and sigma models /
_rAlexei Kotov, Thomas Strobl --
_tA potential for generalized Kähler geometry /
_rUlf Lindström, Martin Roček, Rikard von Unge, Maxim Zabzine --
_tNon-integrable geometries, torsion, and holonomy /
_rIlka Agricola --
_tConnections with totally skew-symmetric torsion and nearly-Kähler geometry /
_rPaul-Andi Nagy --
_tHomogeneous nearly Kähler manifolds /
_rJean-Baptiste Butruille --
_tNearly pseudo-Kähler and nearly para-Kähler six-manifolds /
_rLars Schäfer, Fabian Schulte-Hengesbach --
_tQuaternionic geometries from superconformal symmetry /
_rAndrew Swann --
_tTwistor and reflector spaces of almost para-quaternionic manifolds /
_rStefan Ivanov, Ivan Minchev, Simeon Zamkovoy --
_tPara-pluriharmonic maps and twistor spaces /
_rMatthias Krahe --
_tMaximally homogeneous para-CR manifolds of semisimple type /
_rDmitri V. Alekseevsky, Costantino Medori, Adriano Tomassini --
_tRecent developments in pseudo-Riemannian holonomy theory /
_rAnton Galaev, Thomas Leistner --
_tGeometric applications of irreducible representations of Lie groups /
_rAntonio J. Di Scala, Thomas Leistner, Thomas Neukirchner --
_tSurface holonomy /
_rKonrad Waldorf --
_tClassification results for pseudo-Riemannian symmetric spaces /
_rInes Kath --
_tPseudo-Kähler and para-Kähler symmetric spaces /
_rDmitri V. Alekseevsky --
_tPrehomogeneous affine representations and flat pseudo-Riemannian manifolds /
_rOliver Baues --
_tThe conformal analog of Calabi–Yau manifolds /
_rHelga Baum --
_tNondegenerate conformal structures, CR structures and quaternionic CR structures on manifolds /
_rYoshinobu Kamishima --
_tLinear wave equations on Lorentzian manifolds /
_rChristian Bär --
_tSurvey of D-branes and K-theory /
_rDaniel S. Freed.
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _aThe purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: special geometry and supersymmetry generalized geometry geometries with torsion para-geometries holonomy theory symmetric spaces and spaces of constant curvature conformal geometry wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kähler geometry or generalized geometry.
650 0 7 _aDifferential & Riemannian geometry
_2bicssc
650 0 7 _aDifferential geometry
_2msc
650 0 7 _aQuantum theory
_2msc
650 0 7 _aRelativity and gravitational theory
_2msc
700 1 _aCortés, Vicente,
_eeditor.
856 4 0 _uhttps://doi.org/10.4171/079
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/cortes_mini.jpg
942 _2EBK13794
_cEBK
999 _c50418
_d50418