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Graded algebraic structure in the canonical formulation of N = 3 chiral supergravity by Tsuda, Motomu is a scholarly article available to read on EtoBox.

What is Graded algebraic structure in the canonical formulation of N = 3 chiral supergravity about?

We focus on N = 3 chiral supergravity (SUGRA) which is the lowest N theory involving a spin-1/2 field, and derive the Ashtekar's canonical formulation of N = 3 SUGRA starting with the chiral Lagrangian constructed by closely following the standard SUGRA. The polynomiality of constraints in terms of canonical variables and the graded algebraic structure of constraints are discussed in the canonical formulation. In particular, we show the polynomiality of the {\it rescaled} right- and left-handed SUSY constraints by a nonpolynomial factor. And also we show the graded algebraic structure of Osp(3/2) in the constraint algebra by calculating the Poisson brackets of Gauss, SU(2) gauge and right-handed SUSY constraints, although the algebra among only those three types of constraints does not closed.

Author

Tsuda, Motomu

Published

2004

Language

EN