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- Kiyoshi Ezawa
- 1993

Chern-Simons formulation of the 2+1 dimensional Einstein gravity with negative cosmological constant is investigated when the spacetime has the topology R × T 2. The physical phase space is shown to be a direct product of two sub-phase spaces having symplectic structures with opposite signs. Each sub-phase space is found to be a non-Hausdorff manifold plus… (More)

Duplogs, or intraspecies paralogs, constitute the important portion of eukaryote genomes and serve as a major source of functional innovation. We conducted detailed analyses of recently emerged animal duplogs. Genome data of three vertebrate species (Homo sapiens, Mus musculus, and Danio rerio), Caenorhabditis elegans, and two Drosophila species (Drosophila… (More)

- Kiyoshi Ezawa
- 1994

Addendum to " Classical and Quantum Evolutions of the de Sitter and the anti-de Sitter Universes in 2+1 dimensions " (revised version) Abstract The previous discussion [1] on reducing the phase space of the first order Ein-stein gravity in 2+1 dimensions is reconsidered. We construct a " correct " physical phase space in the case of positive cosmological… (More)

We study open supermembrane in 11 dimensional rigid superspace with 6 dimensional topological defects (M-theory five-branes). After rederiving, in the Green-Schwarz formalism, the boundary conditions of open superstring in the type IIA theory , we determine the boundary conditions of open supermembrane by imposing kappa symmetry and invariance under a… (More)

- Kiyoshi Ezawa
- 1995

It is known that Ashtekar's formulation for pure Einstein gravity can be cast into the form of a topological field theory, namely the SU (2) BF theory, with the B-fields subject to an algebraic constraint. We extend this relation between Ashtekar's formalism and BF theories to N = 1 and N = 2 supergravities. The relevant gauge groups in these cases become… (More)

- Kiyoshi Ezawa, Dan Graur, Giddy Landan
- 2015

Background

- Kiyoshi Ezawa
- 1997

In this paper we will make a survey of solutions to the Wheeler-De Witt equation which have been found up to now in Ashtekar's formulation for canonical quantum gravity. Roughly speaking they are classified into two categories, namely, Wilson-loop solutions and topological solutions. While the program of finding solutions which are composed of Wilson loops… (More)

- Kiyoshi Ezawa
- 1995

A discretized version of canonical quantum gravity proposed by Loll is investigated. After slightly modifying Loll's discretized Hamiltonian constraint, we encode its action on the spin network states in terms of combinatorial topological manipulations of the lattice loops. Using this topological formulation we find new solutions to the discretized… (More)

- Kiyoshi Ezawa, Dan Graur, Giddy Landan
- 2015

Background

- Kiyoshi Ezawa
- 1994

Two canonical formulations of the Einstein gravity in 2+1 dimensions, namely, the ADM formalism and the Chern-Simons gravity, are investigated in the case of nonvanishing cosmological constant. General arguments for reducing phase spaces of the two formalisms are given when spatial hypersurface is compact. In particular when the space has the topology of a… (More)