Supersymmetric solitons

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Hauptverfasser: Shifman, Mikhail 1949- (VerfasserIn), Yung, Alexei (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cambridge [u.a.] Cambridge Univ. Press 2009
Ausgabe:1. publ.
Schriftenreihe:Cambridge monographs on mathematical physics
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Datensatz im Suchindex

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adam_text Contents Acknowledgments Page xiii List of abbreviations xiv 1 Introduction I SHORT EXCURSION Central charges in superalgebras 7 2.1 History 7 2.2 Minimal supersymmetry 8 2.2.1 D = 2 9 2.2.2 £> = 3 9 2.2.3 D = 4 10 2.3 Extended SUSY 11 2.3.1 7V = 2inZ) = 2 11 2.3.2 7V = 2inD = 3 12 2.3.3 On extended supersymmetry (eight supercharges) in D = 4 13 The main building blocks 15 3.1 Domain walls 15 3.1.1 Preliminaries 15 3.1.2 Domain wall in the minimal Wess-Zumino model 18 3.1.3 D-branes in gauge field theory 24 3.1.4 Domain wall junctions 29 3.1.5 Webs of walls 31 3.2 Vortices in D = 3 and flux tubes in D = 4 32 3.2.1 SQEDin3D 33 IX χ Contents 3.2.2 Four-dimensional SQED and the ANO string 40 3.2.3 Flux tube junctions 41 3.3 Monopoles 43 3.3.1 The Georgi-Glashow model: vacuum and elementary excitations 43 3.3.2 Monopoles - topological argument 45 3.3.3 Mass and magnetic charge 45 3.3.4 Solution of the Bogomol nyi equation for monopoles 47 3.3.5 Collective coordinates (moduli) 49 3.3.6 Singular gauge, or how to comb a hedgehog 54 3.3.7 Monopoles in SU(N) 55 3.3.8 The θ term induces a fractional electric charge for the monopole (the Witten effect) 59 3.4 Monopoles and fermions 60 3.4.1 jV = 2 super-Yang-Mills (without matter) 61 3.4.2 Supercurrents and the monopole central charge 62 3.4.3 Zero modes for adjoint fermions 65 3.4.4 Zero modes for fermions in the fundamental representation 66 3.4.5 The monopole supermultiplet: dimension of the BPS representations 67 3.5 More on kinks (in ЛГ = 2 CPU) model) 67 3.5.1 BPS solitons at the classical level 69 3.5.2 Quantization of the bosonic moduli 71 3.5.3 The kink mass and holomorphy 72 3.5.4 Fermions in quasiclassical consideration 74 3.5.5 Combining bosonic and fermionic moduli 76 II LONG JOURNEY Introduction to Part II 81 4 Non-Abelian strings 85 4.1 Basic model: M = 2 SQCD 85 4.1.1 SU(iV)xU(l)A^ = 2QCD 88 4.1.2 The vacuum structure and excitation spectrum 89 4.2 Zftř Abelian strings 92 4.3 Elementary non-Abelian strings 98 4.4 The world-sheet effective theory 99 4.4.1 Derivation of the CP(iV - 1 ) model 100 4.4.2 Fermion zero modes 104 Contents xi 4.4.3 Physics of the CP(N - 1) model with Я = 2 108 4.4.4 Unequal quark masses 110 4.5 Confined monopoles as kinks of the CP(N — 1) model 115 4.5.1 The first-order master equations 118 4.5.2 The string junction solution in the quasiclassical regime 120 4.5.3 The strong coupling limit 123 4.6 Two-dimensional kink and four-dimensional Seiberg- Witten solution 126 4.7 More quark flavors 130 4.8 Non-Abelian ¿-strings 135 4.9 A physical picture of the monopole confinement 137 5 Less supersymmetry 142 5.1 Breaking M = 2 supersymmetry down to M — 1 144 5.1.1 Deformed theory and string solutions 144 5.1.2 Heterotic CP(N - 1 ) model 149 5.1.3 Large- N solution 153 5.1.4 Limits of applicability 157 5.2 The M model 159 5.3 Confined non-Abelian monopoles 163 5.4 Index theorem 166 6 Non-BPS non-Abelian strings 171 6.1 Non-Abelian strings in non-supersymmetric theories 171 6.1.1 World-sheet theory 172 6.1.2 Physics in the large-N limit 174 6.2 Non-Abelian strings in Λί = 1* theory 182 7 Strings on the Higgs branches 188 7.1 Extreme type-I strings 189 7.2 Example: ЛҐ = 1 SQED with the FI term 192 8 Domain walls as ZJ-brane prototypes 196 8.1 λί = 2 supersymmetric QED 197 8.2 Domain walls in N = 2 SQED 199 8.3 Effective field theory on the wall 202 8.4 Domain walls in the J{N) gauge theories 206 9 Wall-string junctions 209 9.1 Strings ending on the wall 209 xii Contents 9.2 Boojum energy 212 9.3 Finite-size rigid strings stretched between the walls. Quantizing string endpoints 214 9.4 Quantum boojums. Physics of the world volume theory 219 10 Conclusions 223 Appendix A Conventions and notation 228 Appendix В Many faces of two-dimensional supersymmetric CP(W - 1) model 234 Appendix С Strings in TV = 2 SQED 243 References 248 Index 256 Author index 258
any_adam_object 1
author Shifman, Mikhail 1949-
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physical XIV, 259 S. graph. Darst.
publishDate 2009
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publisher Cambridge Univ. Press
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series2 Cambridge monographs on mathematical physics
spelling Shifman, Mikhail 1949- Verfasser (DE-588)137738536 aut
Supersymmetric solitons M. Shifman ; A. Yung
1. publ.
Cambridge [u.a.] Cambridge Univ. Press 2009
XIV, 259 S. graph. Darst.
txt rdacontent
n rdamedia
nc rdacarrier
Cambridge monographs on mathematical physics
Solitons
Supersymmetry
Supersymmetrie (DE-588)4128574-8 gnd rswk-swf
Soliton (DE-588)4135213-0 gnd rswk-swf
Soliton (DE-588)4135213-0 s
Supersymmetrie (DE-588)4128574-8 s
DE-604
Yung, Alexei Verfasser (DE-588)137677928 aut
Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle Shifman, Mikhail 1949-
Yung, Alexei
Supersymmetric solitons
Solitons
Supersymmetry
Supersymmetrie (DE-588)4128574-8 gnd
Soliton (DE-588)4135213-0 gnd
subject_GND (DE-588)4128574-8
(DE-588)4135213-0
title Supersymmetric solitons
title_auth Supersymmetric solitons
title_exact_search Supersymmetric solitons
title_full Supersymmetric solitons M. Shifman ; A. Yung
title_fullStr Supersymmetric solitons M. Shifman ; A. Yung
title_full_unstemmed Supersymmetric solitons M. Shifman ; A. Yung
title_short Supersymmetric solitons
title_sort supersymmetric solitons
topic Solitons
Supersymmetry
Supersymmetrie (DE-588)4128574-8 gnd
Soliton (DE-588)4135213-0 gnd
topic_facet Solitons
Supersymmetry
Supersymmetrie
Soliton
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