Research

Brief description of my research interests:

• Spontaneous supersymmetry breaking

Supersymmetry (SUSY) is one of the most beautiful theoretical accomplishments of the present time. However, to construct realistic models of particle physics SUSY should be spontaneously broken at some energy scale, since we do not observe the superpartners of the ordinary particles. Therefore, it is essential to understand under which conditions SUSY should be spontaneously broken, so that may describe the physics beyond standard model.

• Noncommutative quantum field theory

In the 40's dacade of last century Heisenberg suggested that an uncertainty principle to spacetime coordinates should improve the ultraviolet behavior of quantum field theories. Inspired by this idea, the first paper in noncommutative field theory (NCFT) was published in 1947, but due to the success of renormalization theory this idea was forgotten until 90's decade. In recent papers, the noncommutative Yang-Mills theory arose as a low energy limit of String Theory, producing an increasing of the interest on such theories. Another current motivation is related to "spacetime foam", i.e., of idea that at Planck length order (10^-33 cm), the spacetime loses its continuum structure and should involve quantum fluctuations of topology and geometry. The formulation of NCFT would be a simpler way to implement these ideas.

List of published papers: Inspire