Fourth International Winter Conference on Mathematical Methods in Physics

The present volume gathers together contributions based on talks presented at the "Fourth International Winter Conference on Mathematical Methods in Physics", held at the Centro Brasileiro de Pesquisas Físicas (CBPF/MCT, Rio de Janeiro, Brazil) from the 9th to 13th August, 2004. The Conference was the fourth of a planned series, the previous ones being held at the State University of Londrina (Paraná, Brazil). In the recent years one has witnessed some new and very exciting applications of quite a range of sophisticated mathematical tools in theoretical physics. The largest amount of them coming from the domain of the so-called "pure" mathematics, including for example number theory, methods of spectral and group theories, differential and algebraic geometry, non-commutative geometry and topology. Some of these tools were showcased in a series of lectures delivered at the previous Londrina Conferences (see references below). The principal goal of the Winter Conference 2004 (WC2004) was to promote updating of knowledge and interaction between mathematicians and theoretical physicists, through plenary sessions, seminars and posters. We thank the authors for their hard work in the preparation of their contributions, and specially in bringing them to a suitable form for publication. Also we would like to acknowledge the financial support from the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, Brazil), the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES, Brazil), Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ, Brazil) and, in particular, to Centro Brasileiro de Pesquisas Físicas (CBPF/MCT) where this Conference has been hosted. Finally the organizers of the WC2004 would like to express their sincere gratitude to the Editorial Board of the Journal of High Energy Physics for their interest in the publication of this volume.

Editorial Board
Alves Dias Sebastião, Bytsenko A. Andrey (chairman), Helayël-Neto José Abdalla, Kerner Richard, Xavier Guimarães Maria Emília

Sessions
Plenary Talks
Seminars
Posters

Plenary Talks
On a Division Algebra Classification of Constrained PoS(WC2004)047 pdf F. Toppan
String Theory on AdS3 PoS(WC2004)001 pdf C. Núñez
On Solitons, Non-Linear Sigma-Models, and Two-Dimensional Gravity PoS(WC2004)003 pdf F. Williams
11D Supergravity as a Gauge Theory for the M-Algebra PoS(WC2004)006 pdf M. Hassaine, R. Troncoso and J. Zanelli
Perturbative Finiteness of Superstring Theory PoS(WC2004)009 pdf N.J. Berkovits
Born-Infeld Type Lagrangians for Gauge and Boson Fields PoS(WC2004)010 pdf R. Kerner and E. Serie
Seminars
On the Quantum Disc and the Equivalence of Morse-Smale Systems PoS(WC2004)011 pdf A.R. Da Silva, F.J. Vanhecke and C. Sigaud
Scalar and Vector Massive Fields in Lyra´s Manifold PoS(WC2004)013 pdf R. Casana, C.A.M. De Melo and B.M. Pimentel
Quantum Zakharov Equations PoS(WC2004)015 pdf F. Haas, L.G. Garcia and J. Goedert
Scattering of Glue Balls and the AdS/CFT Correspondence PoS(WC2004)016 pdf H.B. Filho and N.R.F. Braga
Hyperbolic Space Forms and Orbifold Compactification in M-Theory PoS(WC2004)017 pdf A.A. Bytsenko, M.E.X. Guimaraes and J.A. Helayel-Neto
How to Quantize k-Deformed Field Theories ? PoS(WC2004)019 pdf M.V. Cougo-Pinto, C. Farina, G. Guedes and J.F.M. Mendes
Perspectives of TFD on String Theory PoS(WC2004)020 pdf M.C. Batoni Abdalla, A.L. Gadelha and D.L. Nedel
The Partition Function for Anharmonic Oscillator in the Strong-Coupling Regime PoS(WC2004)021 pdf N. Fux Svaiter
Twistors, Generalizations and Exceptional Structures PoS(WC2004)022 pdf R. da Rocha and J.J. Vaz
Twisted Trace Formula for Hecke Correspondences PoS(WC2004)023 pdf S. Shokranian
Dark Energy and Cosmic Speed-Up from Consistent Modified Gravity PoS(WC2004)024 pdf S.i. Nojiri and S. Odintsov
Fixing Ambiguities in QED2 Considered in Non-Trivial Topology Sectors PoS(WC2004)025 pdf M.B. Da Silva Neto and S.A. Dias
The Riemann Zeta Function and Vacuum Spectrum PoS(WC2004)026 pdf S. Joffily
Variables Separation in Gravity PoS(WC2004)027 pdf V.V. Obukhov and K.E. Osetrin
Torsion as Alternative to Curvature in the Description of Gravitation PoS(WC2004)028 pdf V. Carvalho de Andrade, H.I. Arcos and J.G. Pereira
Noncommutative Theories and Gravity PoS(WC2004)029 pdf V.O. Rivelles
Some Mathematical Aspects of the Lifshitz Formula for the Thermal Casimir Force PoS(WC2004)030 pdf V. Mostepanenko, A.O. Caride, G.L. Klimchitskaya and S.I. Zanette
Gauge and Lorentz Anomalies in the Pure Spinor Formulation of the Heterotic Superstring PoS(WC2004)031 pdf V. Pershin
Posters
General Unitary TFD Formulation for Superstrings PoS(WC2004)032 pdf M.C.B. Abdalla, A.L. Gadelha and D.L. Nedel
On the Casimir Energy of $\kappa$-Deformed Quantum Fields PoS(WC2004)033 pdf E. Elizalde, F.C. Santos, A.C. Tort and D.P. Palma
Dilatonic, Chiral Cosmic Strings PoS(WC2004)034 pdf V. Carvalho de Andrade, A.L. Naves de Oliveira and M.E.X. Guimaraes
Brane Condensation and Confinement PoS(WC2004)035 pdf C. Wotzasek and P. Gaete
On the Potentials of Supersymmetric Theories with Gauge-Field Mixing Terms PoS(WC2004)036 pdf C. Nunes Ferreira, H. Chavez and J.A. Helayel-Neto
Superspace Type II 4D Supergravity from Type II Superstring PoS(WC2004)037 pdf D.L. Nedel
A Remark on the Aharonov-Bohm Potential and a Discussion on the Electric Charge Quantization PoS(WC2004)038 pdf F.A. Barone Rangel and J.A. Helayel-Neto
On the Casimir Effect for N-Dimensional Spheres PoS(WC2004)039 pdf F.S.S. Siqueira de Souza da Rosa, M.V. Cougo-Pinto and C. Farina
Residual Symmetries in the Presence of an EM Background PoS(WC2004)041 pdf M.P. Rojas Leyva, H.L. Carrion and F. Toppan
Motion of Coloured Particles in Solitons of the O(3) Non-Linear Model PoS(WC2004)042 pdf R. Monteiro Fernandes and P.S. Letelier
Derivative Dispersion Relations PoS(WC2004)043 pdf R.F. Avila and M.J. Menon
Spectral Functions for Gauge Fields in Rindler-Like Spaces PoS(WC2004)045 pdf A.A. Bytsenko, A.E. Goncalves and V. Dos Santos Mendes
N = 2 SUSY Formulation of Lorentz- and CPT-Breaking Gauge Theories PoS(WC2004)046 pdf W.G. Ney, J.A. Helayel-Neto and W. Spalenza