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gr-qc2004★ 4 cited
Graded algebraic structure in the canonical formulation of N = 3 chiral supergravity
Motomu Tsuda
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…
gr-qc1996
Structure of the field equations in N = 1 chiral supergravity
M. Tsuda, T. Shirafuji
We study the structure of linearized field equations in chiral supergravity (SUGRA) with a complex tetrad, as a preliminary to introducing additional auxiliary fields in or…
gr-qc1996
Consistency of matter field equations in Ashtekar formulation
M. Tsuda, T. Shirafuji
The chiral Lagrangian including more than two spin-3/2 fields becomes complex in general when the self-dual connection satisfies its equation of motion, and the imaginary part of t…