Supergravity in (2+epsilon)-dimensions

Nov, 1993
36 pages
Published in:
  • Int.J.Mod.Phys.A 9 (1994) 5415-5444
e-Print:
Report number:
  • TIT-HEP-238,
  • IMPERIAL-TP-93-94-8

Citations per year

199419992004200920144012
Abstract: (arXiv)
Supergravity theory in 2+ϵ2+\epsilon dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In quantizing the supergravity, a gauge fixing condition is devised which explicitly isolates conformal and superconformal modes. The renormalization of the gravitationally dressed operators is studied and their anomalous dimensions are computed. Problems to use the dimensional reduction are also examined.
Note:
  • 36 pages, TIT/HEP-238, Imperial/TP/93-94/8
  • supergravity
  • dimension: 2
  • dimension: 3
  • epsilon expansion
  • supersymmetry: transformation
  • quantization
  • path integral
  • transformation: Becchi-Rouet-Stora
  • effective action
  • perturbation theory: higher-order