پنج سخنرانی دربارهٔ سوپرهم‌ارزی

Since physicists introduced supersymmetry in the mid 1970s, there have been great advances in the understanding of supersymmetric quantum field theories and string theories. These advances have had important mathematical consequences as well. The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas. The first half of the book offers expository introductions to superalgebras, supermanifolds, classical field theory, free quantum theories, and super Poincare groups. The second half covers specific models and describes some of their geometric features. The overall aim is to explain the classical supersymmetric field theories that are basic for applications in quantum mechanics and quantum field theory, thereby providing readers with sufficient background to explore the quantum ideas. freed......Page 1 freed0019......Page 27 freed0020......Page 28 freed0021......Page 29 freed0022......Page 30 freed0023......Page 31 freed0024......Page 32 freed0025......Page 33 freed0026......Page 34 freed0027......Page 35 freed0028......Page 36 freed0029......Page 37 freed0030......Page 38 freed0031......Page 39 freed0032......Page 40 freed0033......Page 41 freed0034......Page 42 freed0035......Page 43 freed0036......Page 44 freed0037......Page 45 freed0038......Page 46 freed0039......Page 47 freed0040......Page 48 freed0041......Page 49 freed0042......Page 50 freed0043......Page 51 freed0044......Page 52 freed0045......Page 53 freed0046......Page 54 freed0047......Page 55 freed0048......Page 56 freed0049......Page 57 freed0050......Page 58 freed0051......Page 59 freed0052......Page 60 freed0053......Page 61 freed0054......Page 62 freed0055......Page 63 freed0056......Page 64 freed0057......Page 65 freed0058......Page 66 freed0059......Page 67 freed0060......Page 68 freed0061......Page 69 freed0062......Page 70 freed0063......Page 71 freed0064......Page 72 freed0065......Page 73 freed0066......Page 74 freed0067......Page 75 freed0068......Page 76 freed0069......Page 77 freed0070......Page 78 freed0071......Page 79 freed0072......Page 80 freed0073......Page 81 freed0074......Page 82 freed0075......Page 83 freed0076......Page 84 freed0077......Page 85 freed0078......Page 86 freed0079......Page 87 freed0080......Page 88 freed0081......Page 89 freed0082......Page 90 freed0083......Page 91 freed0084......Page 92 freed0085......Page 93 freed0086......Page 94 freed0087......Page 95 freed0088......Page 96 freed0089......Page 97 freed0090......Page 98 freed0091......Page 99 freed0092......Page 100 freed0093......Page 101 freed0094......Page 102 freed0095......Page 103 freed0096......Page 104 freed0097......Page 105 freed0098......Page 106 freed0099......Page 107 freed0100......Page 108 freed0101......Page 109 freed0102......Page 110 freed0103......Page 111 freed0104......Page 112 freed0105......Page 113 freed0106......Page 114 freed0107......Page 115 freed0108......Page 116 freed0109......Page 117 freed0110......Page 118 freed0111......Page 119 freed0112......Page 120 freed0113......Page 121 freed0114......Page 122 freed0115......Page 123 freed0116......Page 124 freed0117......Page 125 freed0118......Page 126 freed0119......Page 127 "The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas."--BOOK JACKET. Offers expository introductions to superalgebras, supermanifolds, classical field theory, free quantum theories, and super Poincare groups. This book also covers specific models and describes some of their geometric features. It explains the classical supersymmetric field theories that are basic for applications in quantum mechanics.