Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2013

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Revisiting Trace Anomalies in Chiral Theories....Pages 3-12
Complete T-Dualization of a String in a Weakly Curved Background....Pages 13-20
Physical Ageing and New Representations of Some Lie Algebras of Local Scale-Invariance....Pages 21-31
Vector-Valued Covariant Differential Operators for the Möbius Transformation....Pages 33-50
Semi-classical Scalar Products in the Generalised SU (2) Model....Pages 51-66
Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions....Pages 67-85
Bethe Vectors of gl(3)-Invariant Integrable Models, Their Scalar Products and Form Factors....Pages 87-103
Polylogarithms and Multizeta Values in Massless Feynman Amplitudes....Pages 105-135
Reduction of Couplings in Quantum Field Theories with Applications in Finite Theories and the MSSM....Pages 137-154
Front Matter....Pages 155-176
A SUSY Double-Well Matrix Model as 2D Type IIA Superstring....Pages 177-196
 f ( R )-Gravity: “Einstein Frame” Lagrangian Formulation, Non-standard Black Holes and QCD-Like Confinement/Deconfinement....Pages 197-197
On Robertson Walker Solutions in Noncommutative Gauge Gravity....Pages 199-209
Some Power-Law Cosmological Solutions in Nonlocal Modified Gravity....Pages 211-221
On Nonlocal Modified Gravity and Cosmology....Pages 223-230
Front Matter....Pages 231-239
Vertex Operator Approach to Semi-infiniteSpin Chain: Recent Progress....Pages 241-250
Thermopower in the Coulomb Blockade Regime for Laughlin Quantum Dots....Pages 251-262
On a Pair of Difference Equations for the 4 F 3 Type Orthogonal Polynomials and Related Exactly-Solvable Quantum Systems....Pages 263-263
Front Matter....Pages 265-277
Spin Chain Models of Free Fermions....Pages 279-289
Group Analysis of Generalized Fifth-Order Korteweg–de Vries Equations with Time-Dependent Coefficients....Pages 291-299
Systems of First-Order Ordinary Differential Equations Invariant with Respect to Linear Realizations of Two- and Three-Dimensional Lie Algebras....Pages 263-263
Front Matter....Pages 301-309
On Principal Finite W -Algebras for Certain Orthosymplectic Lie Superalgebras and F (4)....Pages 311-321
Super-de Sitter and Alternative Super-Poincaré Symmetries....Pages 323-330
On the 2D Zero Modes’ Algebra of the SU(n) WZNW Model....Pages 331-340
Front Matter....Pages 341-341
Multi-Point Virtual Structure Constants and Mirror Computation of CP 2 -Model....Pages 343-356
N-Conformal Galilean Group as a Maximal Symmetry Group of Higher-Derivative Free Theory....Pages 357-367
Front Matter....Pages 369-379
Virasoro Structures in the Twisted Vertex Algebra of the Particle Correspondence of Type C....Pages 381-391
On the Correspondence Between Mirror-Twisted Sectors for N = 2 Supersymmetric Vertex Operator Superalgebras of the Form V ⊗ V and N = 1 Ramond Sectors of V ....Pages 393-393
Operadic Bridge Between Renormalization Theory and Vertex Algebras....Pages 395-404
Superfields and Vertex Algebras in Four Dimensions....Pages 405-413
Front Matter....Pages 415-424
Special Reduced Multiplets and Minimal Representations for SO(p,q)....Pages 425-431
On the Structure of Green’s Ansatz....Pages 433-433
Parafermionic Algebras, Their Modules and Cohomologies....Pages 435-446
On Non-local Representations of the Ageing Algebra in d ≥ 1 Dimensions....Pages 447-456
Front Matter....Pages 457-463
The Quantum Closet....Pages 465-471
Shape-Invariant Orbits and Their Laplace-Runge-Lenz Vectors for a Class of “Double Potentials”....Pages 473-473
Quantization on Co-adjoint Group Orbits and Second Class Constraints....Pages 475-504
Some Kind of Stabilities and Instabilities of Energies of Maps Between Kähler Manifolds....Pages 505-513
....Pages 515-526