LEADER 04585nam 22006492 450 001 9910450319803321 005 20211208112822.0 010 $a1-107-12276-7 010 $a1-280-43043-5 010 $a9786610430437 010 $a0-511-17451-9 010 $a0-511-04145-4 010 $a0-511-15445-3 010 $a0-511-32835-4 010 $a0-511-53510-4 010 $a0-511-04763-0 035 $a(CKB)1000000000003572 035 $a(EBL)201506 035 $a(OCoLC)475915189 035 $a(SSID)ssj0000168938 035 $a(PQKBManifestationID)11153722 035 $a(PQKBTitleCode)TC0000168938 035 $a(PQKBWorkID)10202987 035 $a(PQKB)10741479 035 $a(UkCbUP)CR9780511535109 035 $a(MiAaPQ)EBC201506 035 $a(Au-PeEL)EBL201506 035 $a(CaPaEBR)ebr10005746 035 $a(CaONFJC)MIL43043 035 $a(EXLCZ)991000000000003572 100 $a20090429d2001|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHarmonic superspace /$fA.S. Galperin [and others]$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2001. 215 $a1 online resource (xiv, 306 pages) $cdigital, PDF file(s) 225 1 $aCambridge monographs on mathematical physics 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-02042-5 311 $a0-521-80164-8 320 $aIncludes bibliographical references (p. 289-303) and index. 327 $tBrief motivations --$tSpaces and superspaces --$tChirality as a kind of Grassmann analyticity --$tN = 1 chiral superfields --$tAuxiliary fields --$tWhy standard superspace is not adequate for N = 2 supersymmetry --$tSearch for conceivable superspaces (spaces) --$tN = 2 harmonic superspace --$tDealing with the sphere S[superscript 2] --$tComparison with the standard harmonic analysis --$tWhy harmonic superspace helps --$tN = 2 supersymmetric theories --$tN = 2 matter hypermultiplet --$tN = 2 Yang-Mills theory --$tN = 2 supergravity --$tN = 3 Yang-Mills theory --$tHarmonics and twistors. Self-duality equations --$tElements of supersymmetry --$tPoincare and conformal symmetries --$tPoincare group --$tConformal group --$tTwo-component spinor notation --$tPoincare and conformal superalgebras --$tN = 1 Poincare superalgebra --$tExtended supersymmetry --$tConformal supersymmetry --$tCentral charges from higher dimensions --$tRepresentations of Poincare supersymmetry --$tRepresentations of the Poincare group --$tPoincare superalgebra representations. Massive case --$tPoincare superalgebra representations. Massless case --$tRepresentations with central charge --$tRealizations of supersymmetry on fields. Auxiliary fields --$tN = 1 matter multiplet --$tN = 1 gauge multiplet --$tAuxiliary fields and extended supersymmetry --$tSuperspace --$tCoset space generalities --$tCoset spaces for the Poincare and super Poincare groups --$tN = 2 harmonic superspace --$tHarmonic variables --$tHarmonic covariant derivatives --$tN = 2 superspace with central charge coordinates. 330 $aThis is a pedagogical introduction to the harmonic superspace method in extended supersymmetry. Inspired by exciting developments in superstring theory, it provides a systematic treatment of the quantum field theories with N=2 and N=3 supersymmetry in harmonic superspace. The authors present the harmonic superspace approach as a means of providing an off-shell description of the N=2 supersymmetric theories, both at the classical and quantum levels. Furthermore, they show how it offers a unique way to construct an off-shell formulation of a theory with higher supersymmetry, namely the N=3 supersymmetric Yang-Mills theory. Harmonic Superspace makes manifest many remarkable geometric properties of the N=2 theories, for example, the one-to-one correspondence between N=2 supersymmetric matter, and hyper-Ka?hler and quaternionic manifolds. This book will be of interest to researchers and graduate students working in the areas of supersymmetric quantum field theory, string theory and complex geometries. 410 0$aCambridge monographs on mathematical physics. 606 $aSupersymmetry 615 0$aSupersymmetry. 676 $a539.7/25 700 $aGalperin$b A. S$g(Alexander Samoilovich),$f1954-$01046428 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910450319803321 996 $aHarmonic superspace$92473309 997 $aUNINA