English

N=2 Conformal Superspace in Four Dimensions

High Energy Physics - Theory 2015-05-27 v2

Abstract

We develop the geometry of four dimensional N=2 superspace where the entire conformal algebra of SU(2,2|2) is realized linearly in the structure group rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries, extending to N=2 our prior result for N=1 superspace. This formulation explicitly lifts to superspace the existing methods of the N=2 superconformal tensor calculus; at the same time the geometry, when degauged to SL(2,C) x U(2)_R, reproduces the existing formulation of N=2 conformal supergravity constructed by Howe.

Keywords

Cite

@article{arxiv.1103.5914,
  title  = {N=2 Conformal Superspace in Four Dimensions},
  author = {Daniel Butter},
  journal= {arXiv preprint arXiv:1103.5914},
  year   = {2015}
}

Comments

43 pages; v2 references added, acknowledgments updated

R2 v1 2026-06-21T17:46:59.270Z