664
Index
Magnetic skyrmions
Bogomol’nyi equation, 538
Cartesian coordinates, 537
Dirichlet energy, 531
Dzyaloshinskii–Moriya, 531, 532, 537–539
gauged non-linear sigma models, 539
Gauged sigma models (see Gauged sigma
models)
gauge field, 536
holomorphic data, 532
intensive experimental and numerical
studies, 531
inverse coordinate, 538
magnetisation, 536
multi-(anti)-skyrmion configurations, 539
rank one models, 538, 539
rigorous analytical studies, 531
solvable model, 538, 539
spiralization tensor, 538
stereographic coordinates, 537
two-dimensional field theories, 531
Magnetisation, 536
Mass, 476
Mass eigenvalues, 587
Matrix integrals
determinantal representation, 85–86
Eulerian Wronskian representation, 86
quantum/classical spectral curve
Eigenvalue equations, 83
Meijer G-functions, 84
rational weighting case, 84
quantum spectral curve, 83
quantum weight generating functions,
87–88
Wronskian determinants, 82
Wronskian representation, 86–87
Matrix models, 246
Maxwell–Boltzmann distributions, 430
Maxwell electromagnetism, 465
Maxwell’s equations, 466
Mellin-Barnes integral representations, 82, 84
Mellin-Barnes integrals, 84–85
“Mexican hat” shape, 418
Migdal approximation, 309
Minkowski vacuum, 466
Mirror world models, 607
Model-independent starting point, 578
Modified gravity, 458, 462, 463
Modified KdV (mKdV), 511, 512
Modified Schwarzschild geometry, 505
Moduli fields
FIMP, 428
freeze-in production, 429
Higgs-like operator, 428
imaginary components, 428
Mandelstam variable, 429
scalars, 428
SM fermions, 428
Momentum modes, 413, 414
MOND scalar field theory, 438
Monolayer graphene, 265
Monopole fermion number, 331
Monopole operators, 328–335
Motivic and foliation theory, 245
M-theory
D3-branes, 453
degrees of freedom, 451
energy-momentum tensors, 450
G-flux components, 449
IIB background, 449
Lagrangian formulation, 449
non-local counter-terms, 452
non-localities, 452
sheer compactness, 449
Multi-component integrable hierarchies, 511
Multi-orbital system, 365
Multi-soliton Darboux transformation, 44
Multivariate Racah polynomials, 209
MW R — Mν R , 590, 592–594
N
Nambu–Jona-Lasinio (NJL) model, 341–342
Néel antiferromagnet, 338
Negative mass, 476
Neumann conditions, 377
Neutrinos, 586
New physics (NP), 575
b → cτ − ν, 580, 581
b → sμ + μ − , 579, 581
CP violation, 580
standard model, 575
Z models, 579
Newtonian hydrodynamical equations, 443
Newtonian noise, 473
Next-to-leading order (NLO), 559
Non-arborescent knots, 279
Noncommutative geometry
BV construction, 248–249
gauge theory, 245
motivic and foliation theory, 245
Non-compact theory, 329
Non-diagonalizability, 399, 400
Non-Gaussianity, 547–459
Non-interacting model, 348
Non-intersecting spheres, 64
Nonlinear coherent states (NLCSs)
Annihilation operator, 320–321
Index
Magnetic skyrmions
Bogomol’nyi equation, 538
Cartesian coordinates, 537
Dirichlet energy, 531
Dzyaloshinskii–Moriya, 531, 532, 537–539
gauged non-linear sigma models, 539
Gauged sigma models (see Gauged sigma
models)
gauge field, 536
holomorphic data, 532
intensive experimental and numerical
studies, 531
inverse coordinate, 538
magnetisation, 536
multi-(anti)-skyrmion configurations, 539
rank one models, 538, 539
rigorous analytical studies, 531
solvable model, 538, 539
spiralization tensor, 538
stereographic coordinates, 537
two-dimensional field theories, 531
Magnetisation, 536
Mass, 476
Mass eigenvalues, 587
Matrix integrals
determinantal representation, 85–86
Eulerian Wronskian representation, 86
quantum/classical spectral curve
Eigenvalue equations, 83
Meijer G-functions, 84
rational weighting case, 84
quantum spectral curve, 83
quantum weight generating functions,
87–88
Wronskian determinants, 82
Wronskian representation, 86–87
Matrix models, 246
Maxwell–Boltzmann distributions, 430
Maxwell electromagnetism, 465
Maxwell’s equations, 466
Mellin-Barnes integral representations, 82, 84
Mellin-Barnes integrals, 84–85
“Mexican hat” shape, 418
Migdal approximation, 309
Minkowski vacuum, 466
Mirror world models, 607
Model-independent starting point, 578
Modified gravity, 458, 462, 463
Modified KdV (mKdV), 511, 512
Modified Schwarzschild geometry, 505
Moduli fields
FIMP, 428
freeze-in production, 429
Higgs-like operator, 428
imaginary components, 428
Mandelstam variable, 429
scalars, 428
SM fermions, 428
Momentum modes, 413, 414
MOND scalar field theory, 438
Monolayer graphene, 265
Monopole fermion number, 331
Monopole operators, 328–335
Motivic and foliation theory, 245
M-theory
D3-branes, 453
degrees of freedom, 451
energy-momentum tensors, 450
G-flux components, 449
IIB background, 449
Lagrangian formulation, 449
non-local counter-terms, 452
non-localities, 452
sheer compactness, 449
Multi-component integrable hierarchies, 511
Multi-orbital system, 365
Multi-soliton Darboux transformation, 44
Multivariate Racah polynomials, 209
MW R — Mν R , 590, 592–594
N
Nambu–Jona-Lasinio (NJL) model, 341–342
Néel antiferromagnet, 338
Negative mass, 476
Neumann conditions, 377
Neutrinos, 586
New physics (NP), 575
b → cτ − ν, 580, 581
b → sμ + μ − , 579, 581
CP violation, 580
standard model, 575
Z models, 579
Newtonian hydrodynamical equations, 443
Newtonian noise, 473
Next-to-leading order (NLO), 559
Non-arborescent knots, 279
Noncommutative geometry
BV construction, 248–249
gauge theory, 245
motivic and foliation theory, 245
Non-compact theory, 329
Non-diagonalizability, 399, 400
Non-Gaussianity, 547–459
Non-interacting model, 348
Non-intersecting spheres, 64
Nonlinear coherent states (NLCSs)
Annihilation operator, 320–321