Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume 8, 2012

Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations
Concepción Muriel and Juan Luis Romero
SIGMA 8 (2012), 106, 21 pages   [ abs   pdf ]
Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Ernie Kalnins, George S. Pogosyan and Alexander Yakhno
SIGMA 8 (2012), 105, 11 pages   [ abs   pdf ]
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Tomoki Nakanishi
SIGMA 8 (2012), 104,  5 pages   [ abs   pdf ]
Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases
Andrei Ya. Maltsev
SIGMA 8 (2012), 103, 54 pages   [ abs   pdf ]
Old and New Reductions of Dispersionless Toda Hierarchy
Kanehisa Takasaki
SIGMA 8 (2012), 102, 22 pages   [ abs   pdf ]
Renormalization Method and Mirror Symmetry
Si Li
SIGMA 8 (2012), 101, 17 pages   [ abs   pdf ]
Geometry of Spectral Curves and All Order Dispersive Integrable System
Gaëtan Borot and Bertrand Eynard
SIGMA 8 (2012), 100, 53 pages   [ abs   pdf ]
On the Number of Real Roots of the Yablonskii-Vorob'ev Polynomials
Pieter Roffelsen
SIGMA 8 (2012), 099,  9 pages   [ abs   pdf ]
Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
Florian Girelli, Franz Hinterleitner and Seth A. Major
SIGMA 8 (2012), 098, 73 pages   [ abs   pdf ]
Construction of a Lax Pair for the E6(1) q-Painlevé System
Nicholas S. Witte and Christopher M. Ormerod
SIGMA 8 (2012), 097, 27 pages   [ abs   pdf ]
Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources
Gennadiy Burlak and Vladimir Rabinovich
SIGMA 8 (2012), 096, 21 pages   [ abs   pdf ]
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov and Andrei V. Zotov
SIGMA 8 (2012), 095, 37 pages   [ abs   pdf ]
Minkowski Polynomials and Mutations
Mohammad Akhtar, Tom Coates, Sergey Galkin and Alexander M. Kasprzyk
SIGMA 8 (2012), 094, 707 pages   [ abs   pdf ]
Coherent States for Tremblay-Turbiner-Winternitz Potential
Yusuf Sucu and Nuri Unal
SIGMA 8 (2012), 093,  9 pages   [ abs   pdf ]
Orthogonal Basic Hypergeometric Laurent Polynomials
Mourad E.H. Ismail and Dennis Stanton
SIGMA 8 (2012), 092, 20 pages   [ abs   pdf ]
Covariant Fields of C*-Algebras under Rieffel Deformation
Fabian Belmonte and Marius Măntoiu
SIGMA 8 (2012), 091, 12 pages   [ abs   pdf ]
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)
Mariya N. Kuznetsova, Aslı Pekcan and Anatoliy V. Zhiber
SIGMA 8 (2012), 090, 37 pages   [ abs   pdf ]
Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
Philip Broadbridge, Claudia M. Chanu and Willard Miller Jr.
SIGMA 8 (2012), 089, 31 pages   [ abs   pdf ]
Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case
Balázs Szendrői
SIGMA 8 (2012), 088, 16 pages   [ abs   pdf ]
Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C)
Alexandar B. Yanovski and Gaetano Vilasi
SIGMA 8 (2012), 087, 23 pages   [ abs   pdf ]
On Affine Fusion and the Phase Model
Mark A. Walton
SIGMA 8 (2012), 086, 13 pages   [ abs   pdf ]
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Ryu Sasaki and Kouichi Takemura
SIGMA 8 (2012), 085, 18 pages   [ abs   pdf ]
Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
Bushra Haider and Mahmood-ul Hassan
SIGMA 8 (2012), 084, 15 pages   [ abs   pdf ]
'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon
Metod Saniga, Michel Planat, Petr Pracna and Péter Lévay
SIGMA 8 (2012), 083,  9 pages   [ abs   pdf ]
Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
Alonso Contreras-Astorga, David J. Fernández C. and Javier Negro
SIGMA 8 (2012), 082, 10 pages   [ abs   pdf ]
Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
Chikashi Arita and Kohei Motegi
SIGMA 8 (2012), 081, 18 pages   [ abs   pdf ]
Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials
Christiane Quesne
SIGMA 8 (2012), 080, 19 pages   [ abs   pdf ]
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
Jean Avan and Eric Ragoucy
SIGMA 8 (2012), 079, 13 pages   [ abs   pdf ]
Frobenius 3-Folds via Singular Flat 3-Webs
Sergey I. Agafonov
SIGMA 8 (2012), 078, 15 pages   [ abs   pdf ]
Definite Integrals using Orthogonality and Integral Transforms
Howard S. Cohl and Hans Volkmer
SIGMA 8 (2012), 077, 10 pages   [ abs   pdf ]
Recursion Operators and Frobenius Manifolds
Franco Magri
SIGMA 8 (2012), 076,  7 pages   [ abs   pdf ]
Sylvester versus Gundelfinger
Andries E. Brouwer and Mihaela Popoviciu
SIGMA 8 (2012), 075,  7 pages   [ abs   pdf ]
Ladder Operators for Lamé Spheroconal Harmonic Polynomials
Ricardo Méndez-Fragoso and Eugenio Ley-Koo
SIGMA 8 (2012), 074, 16 pages   [ abs   pdf ]
Application of the B-Determining Equations Method to One Problem of Free Turbulence
Oleg V. Kaptsov and Alexey V. Schmidt
SIGMA 8 (2012), 073, 10 pages   [ abs   pdf ]
KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians
Evgeny Mukhin, Vitaly Tarasov and Alexander Varchenko
SIGMA 8 (2012), 072, 11 pages   [ abs   pdf ]
Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
Sergey I. Senashov and Alexander Yakhno
SIGMA 8 (2012), 071, 16 pages   [ abs   pdf ]
Superintegrable Extensions of Superintegrable Systems
Claudia M. Chanu, Luca Degiovanni and Giovanni Rastelli
SIGMA 8 (2012), 070, 12 pages   [ abs   pdf ]
Complex SUSY Transformations and the Painlevé IV Equation
David Bermúdez
SIGMA 8 (2012), 069, 10 pages   [ abs   pdf ]
Recent Developments in (0,2) Mirror Symmetry
Ilarion Melnikov, Savdeep Sethi and Eric Sharpe
SIGMA 8 (2012), 068, 28 pages   [ abs   pdf ]
Discrete Fourier Analysis and Chebyshev Polynomials with G2 Group
Huiyuan Li, Jiachang Sun and Yuan Xu
SIGMA 8 (2012), 067, 29 pages   [ abs   pdf ]
A New Class of Solvable Many-Body Problems
Francesco Calogero and Ge Yi
SIGMA 8 (2012), 066, 29 pages   [ abs   pdf ]
Bring's Curve: its Period Matrix and the Vector of Riemann Constants
Harry W. Braden and Timothy P. Northover
SIGMA 8 (2012), 065, 20 pages   [ abs   pdf ]
Classification of Non-Affine Non-Hecke Dynamical R-Matrices
Jean Avan, Baptiste Billaud and Geneviève Rollet
SIGMA 8 (2012), 064, 45 pages   [ abs   pdf ]
Singular Isotonic Oscillator, Supersymmetry and Superintegrability
Ian Marquette
SIGMA 8 (2012), 063, 14 pages   [ abs   pdf ]
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Rustem Garifullin, Ismagil Habibullin and Marina Yangubaeva
SIGMA 8 (2012), 062, 33 pages   [ abs   pdf ]
Spectral Analysis of Certain Schrödinger Operators
Mourad E.H. Ismail and Erik Koelink
SIGMA 8 (2012), 061, 19 pages   [ abs   pdf ]
Ladder Operators for Quantum Systems Confined by Dihedral Angles
Eugenio Ley-Koo and Guo-Hua Sun
SIGMA 8 (2012), 060, 15 pages   [ abs   pdf ]
Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
Oana Constantinescu
SIGMA 8 (2012), 059, 17 pages   [ abs   pdf ]
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
Mihai Visinescu and Eduard Vîlcu
SIGMA 8 (2012), 058, 15 pages   [ abs   pdf ]
A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
Hongli An and Colin Rogers
SIGMA 8 (2012), 057, 15 pages   [ abs   pdf ]
Monodromy of an Inhomogeneous Picard-Fuchs Equation
Guillaume Laporte and Johannes Walcher
SIGMA 8 (2012), 056, 10 pages   [ abs   pdf ]
Spin Foams and Canonical Quantization
Sergei Alexandrov, Marc Geiller and Karim Noui
SIGMA 8 (2012), 055, 79 pages   [ abs   pdf ]
Discrete Integrable Equations over Finite Fields
Masataka Kanki, Jun Mada and Tetsuji Tokihiro
SIGMA 8 (2012), 054, 12 pages   [ abs   pdf ]
Examples of Matrix Factorizations from SYZ
Cheol-Hyun Cho, Hansol Hong and Sangwook Lee
SIGMA 8 (2012), 053, 24 pages   [ abs   pdf ]
Discrete Gravity Models and Loop Quantum Gravity: a Short Review
Maïté Dupuis, James P. Ryan and Simone Speziale
SIGMA 8 (2012), 052, 31 pages   [ abs   pdf ]
A Two-Component Generalization of the Integrable rdDym Equation
Oleg I. Morozov
SIGMA 8 (2012), 051,  5 pages   [ abs   pdf ]
Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation
Robert Oeckl
SIGMA 8 (2012), 050, 31 pages   [ abs   pdf ]
Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
Patrick Desrosiers and Martin Hallnäs
SIGMA 8 (2012), 049, 51 pages   [ abs   pdf ]
Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
Jacobo Diaz-Polo and Daniele Pranzetti
SIGMA 8 (2012), 048, 58 pages   [ abs   pdf ]
Mutations of Laurent Polynomials and Flat Families with Toric Fibers
Nathan Owen Ilten
SIGMA 8 (2012), 047,  7 pages   [ abs   pdf ]
Another New Solvable Many-Body Model of Goldfish Type
Francesco Calogero
SIGMA 8 (2012), 046, 17 pages   [ abs   pdf ]
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
Jen-Chi Lee, Catherine H. Yan and Yi Yang
SIGMA 8 (2012), 045,  9 pages   [ abs   pdf ]
Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2
Dafeng Zuo
SIGMA 8 (2012), 044, 11 pages   [ abs   pdf ]
Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations
Primitivo B. Acosta-Humánez and Chara Pantazi
SIGMA 8 (2012), 043, 26 pages   [ abs   pdf ]
On the Orthogonality of q-Classical Polynomials of the Hahn Class
Renato Álvarez-Nodarse, Rezan Sevinik Adıgüzel and Hasan Taşeli
SIGMA 8 (2012), 042, 30 pages   [ abs   pdf ]
Harmonic Oscillator SUSY Partners and Evolution Loops
David J. Fernández
SIGMA 8 (2012), 041, 12 pages   [ abs   pdf ]
The Vertex Algebra M(1)+ and Certain Affine Vertex Algebras of Level −1
Dražen Adamović and Ozren Perše
SIGMA 8 (2012), 040, 16 pages   [ abs   pdf ]
Some Remarks on Very-Well-Poised 8φ7 Series
Jasper V. Stokman
SIGMA 8 (2012), 039, 17 pages   [ abs   pdf ]
On Free Pseudo-Product Fundamental Graded Lie Algebras
Tomoaki Yatsui
SIGMA 8 (2012), 038, 18 pages   [ abs   pdf ]
Building Abelian Functions with Generalised Baker-Hirota Operators
Matthew England and Chris Athorne
SIGMA 8 (2012), 037, 36 pages   [ abs   pdf ]
CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Johan W. van de Leur, Alexander Yu. Orlov and Takahiro Shiota
SIGMA 8 (2012), 036, 28 pages   [ abs   pdf ]
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers
Jaume Llibre and Daniel Peralta-Salas
SIGMA 8 (2012), 035,  9 pages   [ abs   pdf ]
Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems
Ernie G. Kalnins and Willard Miller Jr.
SIGMA 8 (2012), 034, 25 pages   [ abs   pdf ]
A Top-Down Account of Linear Canonical Transforms
Kurt Bernardo Wolf
SIGMA 8 (2012), 033, 13 pages   [ abs   pdf ]
On the Relations between Gravity and BF Theories
Laurent Freidel and Simone Speziale
SIGMA 8 (2012), 032, 15 pages   [ abs   pdf ]
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates
Andrey V. Tsiganov
SIGMA 8 (2012), 031,  9 pages   [ abs   pdf ]
Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
Emilio Musso
SIGMA 8 (2012), 030, 20 pages   [ abs   pdf ]
Orbit Representations from Linear mod 1 Transformations
Carlos Correia Ramos, Nuno Martins and Paulo R. Pinto
SIGMA 8 (2012), 029,  9 pages   [ abs   pdf ]
Polynomial Relations for q-Characters via the ODE/IM Correspondence
Juanjuan Sun
SIGMA 8 (2012), 028, 34 pages   [ abs   pdf ]
Emergent Models for Gravity: an Overview of Microscopic Models
Lorenzo Sindoni
SIGMA 8 (2012), 027, 45 pages   [ abs   pdf ]
Loop Quantum Gravity Vacuum with Nondegenerate Geometry
Tim Koslowski and Hanno Sahlmann
SIGMA 8 (2012), 026, 15 pages   [ abs   pdf ]
Deformed su(1,1) Algebra as a Model for Quantum Oscillators
Elchin I. Jafarov, Neli I. Stoilova and Joris Van der Jeugt
SIGMA 8 (2012), 025, 15 pages   [ abs   pdf ]
Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities
Gabriel León and Daniel Sudarsky
SIGMA 8 (2012), 024, 18 pages   [ abs   pdf ]
Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions
Carolina Neira Jiménez and Marie Françoise Ouedraogo
SIGMA 8 (2012), 023, 25 pages   [ abs   pdf ]
Conformally Equivariant Quantization - a Complete Classification
Jean-Philippe Michel
SIGMA 8 (2012), 022, 20 pages   [ abs   pdf ]
Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
Dmitry S. Kaparulin, Simon L. Lyakhovich and Alexey A. Sharapov
SIGMA 8 (2012), 021, 18 pages   [ abs   pdf ]
Colored Tensor Models - a Review
Razvan Gurau and James P. Ryan
SIGMA 8 (2012), 020, 78 pages   [ abs   pdf ]
Tippe Top Equations and Equations for the Related Mechanical Systems
Nils Rutstam
SIGMA 8 (2012), 019, 22 pages   [ abs   pdf ]
Intersecting Quantum Gravity with Noncommutative Geometry - a Review
Johannes Aastrup and Jesper Møller Grimstrup
SIGMA 8 (2012), 018, 25 pages   [ abs   pdf ]
Relational Observables in Gravity: a Review
Johannes Tambornino
SIGMA 8 (2012), 017, 30 pages   [ abs   pdf ]
Introduction to Loop Quantum Cosmology
Kinjal Banerjee, Gianluca Calcagni and Mercedes Martín-Benito
SIGMA 8 (2012), 016, 73 pages   [ abs   pdf ]
Learning about Quantum Gravity with a Couple of Nodes
Enrique F. Borja, Iñaki Garay and Francesca Vidotto
SIGMA 8 (2012), 015, 44 pages   [ abs   pdf ]
Emergent Braided Matter of Quantum Geometry
Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman and Yidun Wan
SIGMA 8 (2012), 014, 43 pages   [ abs   pdf ]
Exponential Formulas and Lie Algebra Type Star Products
Stjepan Meljanac, Zoran Škoda and Dragutin Svrtan
SIGMA 8 (2012), 013, 15 pages   [ abs   pdf ]
New Variables of Separation for the Steklov-Lyapunov System
Andrey V. Tsiganov
SIGMA 8 (2012), 012, 14 pages   [ abs   pdf ]
Deformation Quantization by Moyal Star-Product and Stratonovich Chaos
Rémi Léandre and Maurice Obame Nguema
SIGMA 8 (2012), 011, 15 pages   [ abs   pdf ]
Matter in Loop Quantum Gravity
Ghanashyam Date and Golam Mortuza Hossain
SIGMA 8 (2012), 010, 26 pages   [ abs   pdf ]
Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
Valentin Bonzom and Alok Laddha
SIGMA 8 (2012), 009, 50 pages   [ abs   pdf ]
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
Hiroshi Miki, Hiroaki Goda and Satoshi Tsujimoto
SIGMA 8 (2012), 008, 14 pages   [ abs   pdf ]
On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds
Vladimir S. Matveev
SIGMA 8 (2012), 007,  4 pages   [ abs   pdf ]
On Lie Algebroids and Poisson Algebras
Dennise García-Beltrán, José A. Vallejo and Yuriĭ Vorobjev
SIGMA 8 (2012), 006, 14 pages   [ abs   pdf ]
Entropy of Quantum Black Holes
Romesh K. Kaul
SIGMA 8 (2012), 005, 30 pages   [ abs   pdf ]
On a Lie Algebraic Characterization of Vector Bundles
Pierre B.A. Lecomte, Thomas Leuther and Elie Zihindula Mushengezi
SIGMA 8 (2012), 004, 10 pages   [ abs   pdf ]
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds
Andrei V. Smilga
SIGMA 8 (2012), 003, 12 pages   [ abs   pdf ]
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity
Benjamin Bahr, Rodolfo Gambini and Jorge Pullin
SIGMA 8 (2012), 002, 29 pages   [ abs   pdf ]
Numerical Techniques in Loop Quantum Cosmology
David Brizuela, Daniel Cartin and Gaurav Khanna
SIGMA 8 (2012), 001, 26 pages   [ abs   pdf ]

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