2D Poisson sigma models with gauged vectorial supersymmetry

2015/05/19 by Roberto Bonezzi, Per Sundell, Alexander Torres-Gomez · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Consistency (knowledge bases) #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Noncommutative and Quantum Gravity Theories #Poisson distribution #Sigma #Sigma model #Spin (aerodynamics) #Supersymmetry #Supersymmetry algebra #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/jhep08(2015)047

published in Journal of High Energy Physics 2015(8) (Springer Nature) · 17 pages

arxiv created 2015/05/19 · openalex publication_date 2015/08/01 · arxiv updated 2015/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity.

Citations

• 2D sigma models and differential Poisson algebras
• BV Quantization of Topological Open Membranes
• Deformation Quantization of Poisson Manifolds
• Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds
• A Path Integral Approach¶to the Kontsevich Quantization Formula
• COVARIANT STAR PRODUCT ON SYMPLECTIC AND POISSON SPACE–TIME MANIFOLDS