# Fourth International Winter Conference on Mathematical Methods in Physics

WC2004
9 - 13 August 2004
Centro Brasileiro de Pesquisas Fisicas (CBPF/MCT), Rio de Janeiro, Brazil
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 F. Toppan String Theory on AdS3 PoS(WC2004)001 C. Núñez On Solitons, Non-Linear Sigma-Models, and Two-Dimensional Gravity PoS(WC2004)003 F. Williams 11D Supergravity as a Gauge Theory for the M-Algebra PoS(WC2004)006 M. Hassaine, R. Troncoso and J. Zanelli Perturbative Finiteness of Superstring Theory PoS(WC2004)009 N.J. Berkovits Born-Infeld Type Lagrangians for Gauge and Boson Fields PoS(WC2004)010 R. Kerner and E. Serie Seminars On the Quantum Disc and the Equivalence of Morse-Smale Systems PoS(WC2004)011 A.R. Da Silva, F.J. Vanhecke and C. Sigaud Scalar and Vector Massive Fields in Lyra´s Manifold PoS(WC2004)013 R. Casana, C.A.M. De Melo and B.M. Pimentel Quantum Zakharov Equations PoS(WC2004)015 F. Haas, L.G. Garcia and J. Goedert Scattering of Glue Balls and the AdS/CFT Correspondence PoS(WC2004)016 H.B. Filho and N.R.F. Braga Hyperbolic Space Forms and Orbifold Compactification in M-Theory PoS(WC2004)017 A.A. Bytsenko, M.E.X. Guimaraes and J.A. Helayel-Neto How to Quantize k-Deformed Field Theories ? PoS(WC2004)019 M.V. Cougo-Pinto, C. Farina, G. Guedes and J.F.M. Mendes Perspectives of TFD on String Theory PoS(WC2004)020 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 N. Fux Svaiter Twistors, Generalizations and Exceptional Structures PoS(WC2004)022 R. da Rocha and J.J. Vaz Twisted Trace Formula for Hecke Correspondences PoS(WC2004)023 S. Shokranian Dark Energy and Cosmic Speed-Up from Consistent Modified Gravity PoS(WC2004)024 S. Nojiri and S.D. Odintsov Fixing Ambiguities in QED2 Considered in Non-Trivial Topology Sectors PoS(WC2004)025 M.B. Da Silva Neto and S.A. Dias The Riemann Zeta Function and Vacuum Spectrum PoS(WC2004)026 S. Joffily Variables Separation in Gravity PoS(WC2004)027 V.V. Obukhov and K.E. Osetrin Torsion as Alternative to Curvature in the Description of Gravitation PoS(WC2004)028 V. Carvalho de Andrade, H.I. Arcos and J.G. Pereira Noncommutative Theories and Gravity PoS(WC2004)029 V.O. Rivelles Some Mathematical Aspects of the Lifshitz Formula for the Thermal Casimir Force PoS(WC2004)030 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 V. Pershin Posters General Unitary TFD Formulation for Superstrings PoS(WC2004)032 M.C.B. Abdalla, A.L. Gadelha and D.L. Nedel On the Casimir Energy of $\kappa$-Deformed Quantum Fields PoS(WC2004)033 E. Elizalde, F.C. Santos, A.C. Tort and D.P. Palma Dilatonic, Chiral Cosmic Strings PoS(WC2004)034 V. Carvalho de Andrade, A.L. Naves de Oliveira and M.E.X. Guimaraes Brane Condensation and Confinement PoS(WC2004)035 C. Wotzasek and P. Gaete On the Potentials of Supersymmetric Theories with Gauge-Field Mixing Terms PoS(WC2004)036 C. Nunes Ferreira, H. Chavez and J.A. Helayel-Neto Superspace Type II 4D Supergravity from Type II Superstring PoS(WC2004)037 D.L. Nedel A Remark on the Aharonov-Bohm Potential and a Discussion on the Electric Charge Quantization  PoS(WC2004)038 F.A. Barone Rangel and J.A. Helayel-Neto On the Casimir Effect for N-Dimensional Spheres PoS(WC2004)039 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 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 R. Monteiro Fernandes and P.S. Letelier Derivative Dispersion Relations PoS(WC2004)043 R.F. Avila and M.J. Menon Spectral Functions for Gauge Fields in Rindler-Like Spaces PoS(WC2004)045 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 W.G. Ney, J.A. Helayel-Neto and W. Spalenza