Dynamical supersymmetry breaking and noncommutative quantum field theory
Coherent states, supersymmetric localization and the Pohlmeyer reduction
Holographic study of non local observables in supersymmetric gauge theories throug...
Grant number: | 11/15408-0 |
Support Opportunities: | Scholarships in Brazil - Master |
Effective date (Start): | March 01, 2012 |
Effective date (End): | August 31, 2013 |
Field of knowledge: | Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields |
Principal Investigator: | Alysson Fábio Ferrari |
Grantee: | Carlos Andrés Palechor Ipia |
Host 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. | |
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