Index
657
gravitation, 505
gravity, 499
probabilistic context, general relativity,
500–501
star-specific physical constant, 505
static non-empty symmetric geometry, 500
Characters
Demazure formulas (see Demazure
character formulas)
Lie (see Lie characters)
simple Lie algebras, 287
Weyl formula (see Weyl character formula)
Charged black body partition function
Casimir force, 382
Casimir free energy, 380
Euler–Maclaurin formula, 381
Gibbons–Hawking contribution, 381
non-zero modes, 382
temperature Casimir effect, 380
temperature dependent contribution, 381
zero point energies, 381
Charged vacuum capacitor, 372
Chern–Simons (CS) sector, 390
Chern–Simons (CS) theory, 390, 398
description, 275, 390
gauge group, 275–276
and knot invariants, 276, 279–281
three-dimensional gravity, 391
WLO, 276
CHIME-DESI like survey, 462
Chiral-Heisenberg Gross–Neveu (cHGN)
interaction, 329
Classical affine W -algebras
integrable hierarchies, lax type equation,
194, 195
lax type operators, 193, 194
Classical finite W -algebra, 188
Classical Hamiltonian systems, 141
Classical Hurwitz numbers, 78
Clebsch–Gordan coefficients, 175, 176, 364
Clebsch–Gordan or Racah coefficients, 225
Clifford algebras, 38–39
anti-automorphisms, 40
automorphisms, 40
multiplicative groups, 39
CMB anisotropy spectrum, 419
Coherent states (CSs)
degeneracy, 256
harmonic oscillator, 318
NLCSs, 317–325
properties, 256
SU(2), 258–260
2D oscillator, 255
Cold Dark Matter (CDM), 437, 438
Cole–Hopf transformation, 528
Collider physics, 422
Colored HOMFLY-PT polynomials
definition, 276
Euler characteristics, 276
gauge group, 276
triply graded, 276
Compact groups, 642
Compensatory mass, 472
Complexity analysis, 28
Complex oscillator, 51–52
SUSY transformation, 52–53
Complex system, 499
Conduction band minimum (CBM) energy,
310–314
Confinement–deconfinement transition, 329
Conformal field theory (CFT), 182
characterization, 342, 343
descriptions, 348
entanglement entropy, 354
Hamiltonians, 355
state-operator correspondence, 330
Wess–Zumino–Witten, 288
Conservation law (CL), 58
Consistency around the cube (CAC), 24
Continuum models, 528–529
Conventional phase, 338
Coordinate permutation operators, 7
Cosmic magnetic fields, 482, 486–487
Cosmic microwave background (CMB), 410,
417, 421, 482, 545, 547
acoustic oscillations, 410
angular power spectrum, 410
radiation, 410
Cosmology, 482, 487
Cosmology and astrophysics inter-relationship
angular power spectrum, 460–462
CHIME-DESI like survey, 461, 462
cosmological constraints, 460
Fisher formalism, 461
Fisher matrix, 462
HI astrophysical parameters, 459
HI-halo mass relation, 458, 459
HI power spectrum, 459
Hubble parameter, 460
IM, 458
intensity fluctuations, 458
ΛCDM cosmology, 462
Limber approximation, 460
normalization, 459
nuisance, 461
systematic, 458
uncertainties, 463
Coulomb force, 371
657
gravitation, 505
gravity, 499
probabilistic context, general relativity,
500–501
star-specific physical constant, 505
static non-empty symmetric geometry, 500
Characters
Demazure formulas (see Demazure
character formulas)
Lie (see Lie characters)
simple Lie algebras, 287
Weyl formula (see Weyl character formula)
Charged black body partition function
Casimir force, 382
Casimir free energy, 380
Euler–Maclaurin formula, 381
Gibbons–Hawking contribution, 381
non-zero modes, 382
temperature Casimir effect, 380
temperature dependent contribution, 381
zero point energies, 381
Charged vacuum capacitor, 372
Chern–Simons (CS) sector, 390
Chern–Simons (CS) theory, 390, 398
description, 275, 390
gauge group, 275–276
and knot invariants, 276, 279–281
three-dimensional gravity, 391
WLO, 276
CHIME-DESI like survey, 462
Chiral-Heisenberg Gross–Neveu (cHGN)
interaction, 329
Classical affine W -algebras
integrable hierarchies, lax type equation,
194, 195
lax type operators, 193, 194
Classical finite W -algebra, 188
Classical Hamiltonian systems, 141
Classical Hurwitz numbers, 78
Clebsch–Gordan coefficients, 175, 176, 364
Clebsch–Gordan or Racah coefficients, 225
Clifford algebras, 38–39
anti-automorphisms, 40
automorphisms, 40
multiplicative groups, 39
CMB anisotropy spectrum, 419
Coherent states (CSs)
degeneracy, 256
harmonic oscillator, 318
NLCSs, 317–325
properties, 256
SU(2), 258–260
2D oscillator, 255
Cold Dark Matter (CDM), 437, 438
Cole–Hopf transformation, 528
Collider physics, 422
Colored HOMFLY-PT polynomials
definition, 276
Euler characteristics, 276
gauge group, 276
triply graded, 276
Compact groups, 642
Compensatory mass, 472
Complexity analysis, 28
Complex oscillator, 51–52
SUSY transformation, 52–53
Complex system, 499
Conduction band minimum (CBM) energy,
310–314
Confinement–deconfinement transition, 329
Conformal field theory (CFT), 182
characterization, 342, 343
descriptions, 348
entanglement entropy, 354
Hamiltonians, 355
state-operator correspondence, 330
Wess–Zumino–Witten, 288
Conservation law (CL), 58
Consistency around the cube (CAC), 24
Continuum models, 528–529
Conventional phase, 338
Coordinate permutation operators, 7
Cosmic magnetic fields, 482, 486–487
Cosmic microwave background (CMB), 410,
417, 421, 482, 545, 547
acoustic oscillations, 410
angular power spectrum, 410
radiation, 410
Cosmology, 482, 487
Cosmology and astrophysics inter-relationship
angular power spectrum, 460–462
CHIME-DESI like survey, 461, 462
cosmological constraints, 460
Fisher formalism, 461
Fisher matrix, 462
HI astrophysical parameters, 459
HI-halo mass relation, 458, 459
HI power spectrum, 459
Hubble parameter, 460
IM, 458
intensity fluctuations, 458
ΛCDM cosmology, 462
Limber approximation, 460
normalization, 459
nuisance, 461
systematic, 458
uncertainties, 463
Coulomb force, 371