Construction of N=2 chiral supergravity compatible with the reality condition

Authors
Tsuda, M Shirafuji, T
Citation
M. Tsuda et T. Shirafuji, Construction of N=2 chiral supergravity compatible with the reality condition, CLASS QUANT, 16(1), 1999, pp. 69-77
Citations number
25
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
16
Issue
1
Year of publication
1999
Pages
69 - 77
Database
ISI
SICI code
0264-9381(199901)16:1<69:CONCSC>2.0.ZU;2-1
Abstract
We construct N = 2 chiral supergravity (SUGRA) which leads to Ashtekar's ca nonical formulation. The supersymmetry (SUSY) transformation parameters are not constrained at all and auxiliary fields are not required in contrast w ith the method of 2-form gravity. We also show that our formulation is comp atible with the reality condition, and that its real section is reduced to the usual N = 2 SUGRA up to an imaginary boundary term.