Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2015

Front Matter....Pages i-xv
Front Matter....Pages 1-1
Special Conformal Transformations and Contact Terms....Pages 3-21
On Nonlocal Modified Gravity and Its Cosmological Solutions....Pages 23-34
Kinetics of Interface Growth: Physical Ageing and Dynamical Symmetries....Pages 35-51
News on SU(2|1) Supersymmetric Mechanics....Pages 53-65
Intrinsic Sound of Anti-de Sitter Manifolds....Pages 67-81
Sphere Partition Functions and the Kähler Metric on the Conformal Manifold....Pages 83-99
Hyperlogarithms and Periods in Feynman Amplitudes....Pages 101-110
Stepwise Square Integrable Representations: The Concept and Some Consequences....Pages 111-135
Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensions....Pages 137-150
Front Matter....Pages 151-167
Higher Genus Amplitudes in SUSY Double-Well Matrix Model for 2D IIA Superstring....Pages 169-180
Kruskal–Penrose Formalism for Lightlike Thin-Shell Wormholes....Pages 181-202
Metric-Independent Spacetime Volume-Forms and Dark Energy/Dark Matter Unification....Pages 203-229
Large Volume Supersymmetry Breaking Without Decompactification Problem....Pages 231-231
Glueball Inflation and Gauge/Gravity Duality....Pages 233-243
Degenerate Metrics and Their Applications to Spacetime....Pages 245-259
The Heun Functions and Their Applications in Astrophysics....Pages 261-273
Front Matter....Pages 275-284
Boundary Effects on the Supersymmetric Sine-Gordon Model Through Light-Cone Lattice Regularization....Pages 285-293
Infinite Dimensional Matrix Product States for Long-Range Quantum Spin Models....Pages 295-302
Group Analysis of a Class of Nonlinear Kolmogorov Equations....Pages 303-308
First Order Hamiltonian Operators of Differential-Geometric Type in 2D....Pages 309-309
Exact Solutions for Generalized KdV Equations with Variable Coefficients Using the Equivalence Method....Pages 311-335
Front Matter....Pages 337-347
B–Orbits in Abelian Nilradicals of Types B, C and D: Towards a Conjecture of Panyushev....Pages 349-360
Anti de Sitter Holography via Sekiguchi Decomposition....Pages 361-369
Localization and the Canonical Commutation Relations....Pages 371-378
Permutation-Symmetric Three-Body O(6) Hyperspherical Harmonics in Three Spatial Dimensions....Pages 379-383
Quantum Plactic and Pseudo-Plactic Algebras....Pages 385-385
Conformal Invariance of the 1D Collisionless Boltzmann Equation....Pages 387-398
On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras....Pages 399-411
Front Matter....Pages 413-421
On Finite W-Algebras for Lie Superalgebras in Non-Regular Case....Pages 423-430
“Spread” Restricted Young Diagrams from a 2D WZNW Dynamical Quantum Group....Pages 431-439
Front Matter....Pages 441-451
Vertex Algebras in Higher Dimensions Are Homotopy Equivalent to Vertex Algebras in Two Dimensions....Pages 453-463
Automorphisms of Multiloop Lie Algebras....Pages 465-473
Front Matter....Pages 475-475
Contraction Admissible Pairs of Complex Six-Dimensional Nilpotent Lie Algebras....Pages 477-488
About Filiform Lie Algebras of Order 3....Pages 489-499
Algebraic Structures Related to Racah Doubles....Pages 501-510
A Note on Strongly Graded Lie Algebras....Pages 511-511
Front Matter....Pages 513-521
Toeplitz Operators with Discontinuous Symbols on the Sphere....Pages 523-530
Multiplication of Distributions in Mathematical Physics....Pages 531-538
About Arbitrage and Holonomy....Pages 511-511
On Some Exact Solutions of Heat and Mass Transfer Equations with Variable Transport Coefficients....Pages 539-549
A Star Product for the Volume Form Nambu-Poisson Structure on a Kähler Manifold....Pages 551-558
....Pages 559-564