LEADER 04578nam 22007095 450 001 9910254610103321 005 20200706113933.0 010 $a3-319-24798-0 024 7 $a10.1007/978-3-319-24798-4 035 $a(CKB)3710000000494190 035 $a(EBL)4068159 035 $a(SSID)ssj0001585585 035 $a(PQKBManifestationID)16264747 035 $a(PQKBTitleCode)TC0001585585 035 $a(PQKBWorkID)14866133 035 $a(PQKB)11649065 035 $a(DE-He213)978-3-319-24798-4 035 $a(MiAaPQ)EBC4068159 035 $a(PPN)190526610 035 $a(EXLCZ)993710000000494190 100 $a20151022d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSupersymmetry and Noncommutative Geometry /$fby Wim Beenakker, Thijs van den Broek, Walter D. Suijlekom 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (146 p.) 225 1 $aSpringerBriefs in Mathematical Physics,$x2197-1757 ;$v9 300 $aDescription based upon print version of record. 311 $a3-319-24796-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- Supersymmetry -- Noncommutative geometry -- Supersymmetric almost-commutative geometries -- Noncommutative geometry and R-parity -- Supersymmetric spectral triples -- Conditions for a supersymmetric spectral action -- Summary and conclusions -- Appendix 1. The action from a building block of the third type -- Appendix 2. Supersymmetric spectral actions: Proofs -- Appendix 3. Auxiliary lemmas and identities -- Supersymmetry breaking -- Soft supersymmetry breaking -- Soft supersymmetry breaking terms from the spectral action -- Summary and conclusions -- The noncommutative supersymmetric Standard Model -- Obstructions for a supersymmetric theory -- The building blocks of the MSSM -- Identification of particles and sparticles. 330 $aIn this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic `building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories. 410 0$aSpringerBriefs in Mathematical Physics,$x2197-1757 ;$v9 606 $aPhysics 606 $aMathematical physics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 615 0$aPhysics. 615 0$aMathematical physics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 14$aMathematical Methods in Physics. 615 24$aMathematical Physics. 615 24$aElementary Particles, Quantum Field Theory. 676 $a539.725 700 $aBeenakker$b Wim$4aut$4http://id.loc.gov/vocabulary/relators/aut$0814113 702 $avan den Broek$b Thijs$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSuijlekom$b Walter D$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254610103321 996 $aSupersymmetry and Noncommutative Geometry$92503840 997 $aUNINA