Elias Leite Mendonça

• Abstract

  The formulation of consistent theories for higher-spin particles remains a central challenge in theoretical physics, especially in four dimensions, where the presence of auxiliary fields and the preservation of unitarity hinder progress. In $D=2+1$, however, it is possible to construct local self-dual models with higher-order derivatives that propagate physical degrees of freedom without …

  An Introduction to Higher-Spin Theories: The Case of Spin-4, BP.IC

• Abstract

  This undergraduate research project is devoted to the investigation of first-order formulations for spin-1 field theories, with particular emphasis on the reinterpretation of Maxwell electrodynamics in terms of a non-symmetric rank-2 auxiliary field. The central goal is to analyze, through a decomposition into irreducible components, the conditions under which the functional integration o…

  First-Order Formulations for Spin-1 Theories, BP.IC

• Abstract

  In this project, we will review the Noether Gauge Embedding method, which is used to study duality relations between gauge theories, from a computational perspective, i.e., by implementing a calculation routine through the {\it xAct/xTras - Wolfram Mathematica} package. We aim to apply our results and methods to investigate the duality between spin-4 gauge theories, which would be an orig…

  Nother Gauge Embedment approach - A review under the computational perspective via xAct., BP.IC

• Abstract

  There is a simple and elegant formalism developed by D. Francia and A. Sagnotti that allows for an efficient approach to higher-spin theories. With this formalism, the authors have made progress on higher-spin theories invariant under unconstrained gauge symmetries and obtained non-local higher-spin models. In this project, the student will use their final months of undergraduate studies …

  The Francia and Sagnotti formulation for higher spin, BP.IC

• Abstract

  In this project we aim to motivate the student towards the field theory by introducing him to the Poincare group, where we obtain the generators which then, will be addaptated to the three dimensional space time.

  Generators of the Poicare group for planar theories, BP.IC

(Only some records are available in English at this moment)