656
Index
B
Bailey identities, 282
Baker–Campbell–Hausdorff identity, 261
Band inversion, 308
Baryon acoustic oscillations, 410
Baryonic material, 457
Batalin–Vilkovisky (BV) construction
anti-fields/anti-ghost fields, 248–249
classical master equation, 249
gauge theory, 249
ghost field, 248–249
notion and relevance, 249–252
Pauli matrices, 250
Bayes’s law, 500, 505
b → cτ − ν, 578–581
b → gμ + μ − ,576–579, 581
Bernal staking, 266
Bertrand theorem, 141
Bessel function, 323
Bethe–Salpeter equation, 102
Beyond the SM (BSM), 427
Bilayer graphene
effective Hamiltonian, 266–267
effective Hamiltonian with magnetic field,
267
electron motion, 265, 266
lattice structure, 267
stationary states of H, 267–268
Bi-rational equivalence, 70
Birationality, 22
Bismuth-based half-Heuslers, 360
BiTeI, 311–314
Black hole entropy, 372
Black holes, 390
Bloch electrons, 309
Block entropies, 351
Bogoliubov transformations, 261–262
Bogomol’nyi equation, 534–536
Bohr atom, 170
Boltzmann fluid equation, 430, 432
Boltzmann suppression, 434
Bose–Einstein condensate (BEC), 438
Boundary conditions, 376–377
Braiding
eigenvalues, 283
generators, 279
types, 279, 281
Breather solution, 517–519
Brillouin zone
H-A-L plane, 312
M-L-A mirror planes, 312
Brion lattice-polytope sum formula, 287,
289–290
Brown–Henneaux boundary conditions, 393
BRST cohomology in, 377
BRST invariant vacuum state, 372
BRST quantization, 377
Bruce–Duplij model, 200
N -extended SQM, 203, 204
superalgebra, Z22-graded color
superalgebra, 202, 203
Z22-graded SCM, 204–205
Z32-graded SQM, 205–206
Bulk-boundary correspondence principle, 307
BV-spectral triple, 246, 249–252
C
Cabibbo–Kobayashi–Maskawa (CKM), 576,
585, 586, 589–592
Caldirola–Kanai oscillator, 303
Calogero–Sutherland models, 3
Calogero model, 4–5
Sutherland model, 5–6
Canonical black hole, 396, 397
Canonical boundary conditions, 399
Canonical commutation, 379
Capacitor thermodynamics
entropy, 373
Euclidean approach, 374–376
free energy, 374
heat loss, 373
Lorentz–Heaviside units, 373
quasi-static process, 374
Carbon monoxide (CO), 458
Cartan–Dieudonné theorem, 39
Cartan element, 395
Casimir effect, 377
Casimir operators, 145
Causal inference methods, 616
Cayley–Klein geometry
generalized imaginary number, 159
moving frame, 159–161
three-dimensional, 158
two-dimensional, 158, 159
CCH solutions
susy G(2, 4) σ -model, 94–95
case of Z 1 , 95–96
case of Z 2 , 96–98
case of Z 3 , 98–99
case of Z 4 , 99
Susy G(M, N) σ -model, 92–94
susy invariant solutions, 94
Central limit theorem
asymptotic probabilistic behavior, 499
Bayesian paradigm, 506
complex systems, 500
erfc gravitational potential, 500, 505, 506
Index
B
Bailey identities, 282
Baker–Campbell–Hausdorff identity, 261
Band inversion, 308
Baryon acoustic oscillations, 410
Baryonic material, 457
Batalin–Vilkovisky (BV) construction
anti-fields/anti-ghost fields, 248–249
classical master equation, 249
gauge theory, 249
ghost field, 248–249
notion and relevance, 249–252
Pauli matrices, 250
Bayes’s law, 500, 505
b → cτ − ν, 578–581
b → gμ + μ − ,576–579, 581
Bernal staking, 266
Bertrand theorem, 141
Bessel function, 323
Bethe–Salpeter equation, 102
Beyond the SM (BSM), 427
Bilayer graphene
effective Hamiltonian, 266–267
effective Hamiltonian with magnetic field,
267
electron motion, 265, 266
lattice structure, 267
stationary states of H, 267–268
Bi-rational equivalence, 70
Birationality, 22
Bismuth-based half-Heuslers, 360
BiTeI, 311–314
Black hole entropy, 372
Black holes, 390
Bloch electrons, 309
Block entropies, 351
Bogoliubov transformations, 261–262
Bogomol’nyi equation, 534–536
Bohr atom, 170
Boltzmann fluid equation, 430, 432
Boltzmann suppression, 434
Bose–Einstein condensate (BEC), 438
Boundary conditions, 376–377
Braiding
eigenvalues, 283
generators, 279
types, 279, 281
Breather solution, 517–519
Brillouin zone
H-A-L plane, 312
M-L-A mirror planes, 312
Brion lattice-polytope sum formula, 287,
289–290
Brown–Henneaux boundary conditions, 393
BRST cohomology in, 377
BRST invariant vacuum state, 372
BRST quantization, 377
Bruce–Duplij model, 200
N -extended SQM, 203, 204
superalgebra, Z22-graded color
superalgebra, 202, 203
Z22-graded SCM, 204–205
Z32-graded SQM, 205–206
Bulk-boundary correspondence principle, 307
BV-spectral triple, 246, 249–252
C
Cabibbo–Kobayashi–Maskawa (CKM), 576,
585, 586, 589–592
Caldirola–Kanai oscillator, 303
Calogero–Sutherland models, 3
Calogero model, 4–5
Sutherland model, 5–6
Canonical black hole, 396, 397
Canonical boundary conditions, 399
Canonical commutation, 379
Capacitor thermodynamics
entropy, 373
Euclidean approach, 374–376
free energy, 374
heat loss, 373
Lorentz–Heaviside units, 373
quasi-static process, 374
Carbon monoxide (CO), 458
Cartan–Dieudonné theorem, 39
Cartan element, 395
Casimir effect, 377
Casimir operators, 145
Causal inference methods, 616
Cayley–Klein geometry
generalized imaginary number, 159
moving frame, 159–161
three-dimensional, 158
two-dimensional, 158, 159
CCH solutions
susy G(2, 4) σ -model, 94–95
case of Z 1 , 95–96
case of Z 2 , 96–98
case of Z 3 , 98–99
case of Z 4 , 99
Susy G(M, N) σ -model, 92–94
susy invariant solutions, 94
Central limit theorem
asymptotic probabilistic behavior, 499
Bayesian paradigm, 506
complex systems, 500
erfc gravitational potential, 500, 505, 506