2005/03/31 by Luis Álvarez-Gaumé, Luis Alvarez-Gaume, Miguel Angel Vázquez-Mozo +1 · 30 citations
Engineering · Mathematics · Physics and Astronomy · Psychology · #Advanced Operator Algebra Research #Astronomy #Black Holes and Theoretical Physics #Computer science #Engineering #Linguistics #Noncommutative and Quantum Gravity Theories #Operations management #Philosophy #Physics #Psychology #Sigma #Six Sigma #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/04/007
published in Journal of High Energy Physics 2005(04), 007 (Springer Nature) · 29 pages. Typos corrected and references added
openalex publication_date 2005/04/27 · arxiv created 2005/05/25 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We study nonanticommutative deformations of N=2 two-dimensional Euclidean sigma models. We find that these theories are described by simple deformations of Zumino's Lagrangian and the holomorphic superpotential. Geometrically, this deformation can be interpreted as a fuzziness in target space controlled by the vacuum expectation value of the auxiliary field. In the case of nonanticommutative deformations preserving Euclidean invariance, we find that a continuation of the deformed supersymmetry algebra to Lorentzian signature leads to a rather intriguing central extension of the ordinary (2,2) superalgebra.