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| Marathe K.B., Martucci G. — The mathematical foundations of gauge theories |
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| Предметный указатель |
SM 144
Smooth structure 2
Sobolev completion 169
Sobolev space 169
Soldering form 67
Soliton 265
Space of phase factors 146
Space-time manifold 69
Sphere bundle 114
Spin frame bundle 49 181
Spin manifold 49 181
Spin structure 181
Spinor 52
Spinor bundle 181
Spinor group 180
Splitting 10
Spontaneous symmetry breaking 252
Stable range 87
Stably equivalent 132
Standard model 144 258
Standard Model, gauge group 260
Standard model, Lagrangian 258
Standard model, minimal supersymmetric extension 261
Standard model, of electroweak theory 258
Steenrod squaring operations 110
Stiefel manifold 61
Stiefel — Whitney class 112
Stiefel — Whitney class, of a manifold 113
Stiefel — Whitney class, total 113
Stiefel — Whitney numbers 113
Stokes’ Theorem 18
Structure constants 30
Structure equation 60
Structure group 46
Structure group, extending of 47
Structure group, lifting of 47
Structure group, reduction of 47
Subbase 299
Subbundle 41
Subbundle, reduced 47
Subcategory 304
Subcategory, full 304
Subcomplex 311
Submanifold 4
Submanifold, open 3
Submersion 10
Subordinate 300
Superalgebra 315
Symbol sequence 177
Symbol,  172-174
Symbol, principal 172
Symbol, total 171 173
Symmetric product 305
Symplectic structure 24
Symplectic structure, canonical 24
Tangent bundle 45
Tangent space 9
Tangent vector 8
Tensor field 12
Tensor field, contravariant 13
Tensor field, covariant 13
Tensor field, skew symmetric 13
Tensor field, symmetric 13
Tensor product 305
Tensor product, graded 316
Tensor space 12
Thom class 111
Thom Isomorphism 111
Thom space 115
| Todd class 121
Topological charge 123 266
Topological pair 91
Topological property 298
Topological space 297
Topological space, pointed 76
topology 297
Topology, discrete 297
Topology, indiscrete 297
Topology, relative 297
Torsion 67
Torsion free module 94
Torsion, element 94
Torsion, submodule 94
Torsion, tensor field 68
Torus 7
Total differential 313
Trace class operator 175
Transgression form 126
Transition function 2 41
Twisted product 40
Twistor space 230
Universal classifying space 109 124
Universal lift 48
Unoriented cobordism class 114
Unoriented cobordism group 114
Vacuum state 253
Vector bundle 43
Vector bundle, associated 50
Vector bundle, Hermitian 44
Vector bundle, rank of 43
Vector bundle, Riemannian 43
Vector bundle, virtual 130
Vector field 9
Vector field, autoparallel 70
Vector field, fundamental 49
Vector field, Hamiltonian 25
Vector field, horizontal 54
Vector field, horizontal part of 54
Vector field, invariant 29
Vector field, left invariant 30
Vector field, locally Hamiltonian 25
Vector field, vertical 49 54
Vector field, vertical part of 54
Vertical subspace 54
Volume 14
Volume, equivalent 14
Vortex 265
Waxd correspondence 230
Weak hyperchaxge 258
Weak intermediate bosons 143 259
Weak isospin group 258
Weil homomorphism 117
Witten complex 284
Yang — Mills action 210
Yang — Mills connection 211
Yang — Mills equations 211
Yang — Mills field 211
Yang — Mills field, anti-dual 215
Yang — Mills field, self-dual 215
Yang — Mills functional 210
Yang — Mills functional, critical point of 211
Yang — Mills — Higgs action 248
Yang — Mills — Higgs equations 250
Yang — Mills — Higgs system with potential 248
Yukawa couplings 250
Zeta function, generalized 291
Zeta function, of an operator 293
Zeta function, regularization 290
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