ℵ0hypergravity in three dimensions

2005/04/11 by Hitoshi Nishino, Subhash Rajpoot
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.71.125002

published as Phys.Rev. D71 (2005) 125002 · 12 pages, no figures

arxiv created 2005/04/11 · openalex publication_date 2005/06/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We construct hypergravity theory in three-dimensions with the gravitino \ensuremathψ_\ensuremathμm₁\ensuremath⋯m_n^A with an arbitrary half-integral spin n+3/2, carrying also the index A for certain real representations of any gauge group G. The possible real representations are restricted by the condition that the matrix representation of all the generators are antisymmetric: (T^I)^AB=\ensuremath-(T^I)^BA. Since such a real representation can be arbitrarily large, this implies \ensuremathℵ₀ hypergravity with infinitely many (\ensuremathℵ₀) extended local hypersymmetries.

Citations

• Propagation and Quantization of Rarita-Schwinger Waves in an External Electromagnetic Potential
• Consistent supergravity
• Topologically massive gauge theories
• Quantum Gravity in 2+1 Dimensions