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Twisted supersymmetric quantum field theories

Grant number: 11/15408-0
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2012
Effective date (End): August 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Alysson Fábio Ferrari
Grantee:Carlos Andrés Palechor Ipia
Home Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The noncommutativity of spacetime has been proposed as a tentative to incorporate in quantum mechanics and quantum field theories some properties that must be included in a consistent quantum gravity theory. One nontrivial aspect of such scenario is the fate of spacetime symmetries. Some of the most popular proposals for noncommutative spacetimes explicitly violate Lorentz invariance. One possible way to implement spacetime noncommutativity preserving some sense of relativistic invariance involves the use of Hopf algebras understood as "deformations" of the Poincaré algebra. This project focuses in particular in the so-called "twisted Lorentz Symmetry", a soft deformation of relativistic invariance which can be generalized to the symmetry of superspace -- that is, supersymmetry. Some formulations for twisted supersymmetry have already appeared in the literature, all of them restricted to the classical formulation of supersymmetric theory. We want to implement the twisted supersymmetry in the formalism of supergraphs for the calculation of perturbative quantum corrections in such models.