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pro vyhledávání: '"Abe, Mitsuo"'
Autor:
Abe, Mitsuo, Kawamura, Katsunori
Previously, we have shown that the CAR algebra for fermions is embedded in the Cuntz algebra ${\cal O}_{2}$ in such a way that the generators are expressed in terms of polynomials in the canonical generators of the latter, and it coincides with the U
Externí odkaz:
http://arxiv.org/abs/math-ph/0606047
Autor:
Abe, Mitsuo, Nakanishi, Noboru
Publikováno v:
Prog. Theor. Phys. 115 (2006), 1151-1166
The existence of gravitational anomalies claimed by Alvarez-Gaume and Witten is examined critically. It is pointed out that they were unaware of the essential difference between T-product quantities and T*-product quantities. Field equations and, the
Externí odkaz:
http://arxiv.org/abs/hep-th/0503172
Autor:
Abe, Mitsuo, Kawamura, Katsunori
Based on an embedding formula of the CAR algebra into the Cuntz algebra ${\mathcal O}_{2^p}$, properties of the CAR algebra are studied in detail by restricting those of the Cuntz algebra. Various $\ast$-endomorphisms of the Cuntz algebra are explici
Externí odkaz:
http://arxiv.org/abs/math-ph/0207003
Autor:
Abe, Mitsuo, Nakanishi, Noboru
Publikováno v:
Int.J.Mod.Phys. A17 (2002) 1491-1502
It is shown that the BRS-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The structure of the exact solution is very similar to that of the BRS-formulate
Externí odkaz:
http://arxiv.org/abs/hep-th/0111148
Autor:
Abe, Mitsuo, Kawamura, Katsunori
Embeddings of the CAR (canonical anticommutation relations) algebra of fermions into the Cuntz algebra ${\cal O}_2$ (or ${\cal O}_{2d}$ more generally) are presented by using recursive constructions. As a typical example, an embedding of CAR onto the
Externí odkaz:
http://arxiv.org/abs/math-ph/0110003
Autor:
Abe, Mitsuo, Kawamura, Katsunori
Publikováno v:
Int.J.Mod.Phys. A18 (2003) 607-626
Representation of the algebra of FP (anti)ghosts in string theory is studied by generalizing the recursive fermion system in the Cuntz algebra constructed previously. For that purpose, the pseudo Cuntz algebra, which is a $\ast$-algebra generalizing
Externí odkaz:
http://arxiv.org/abs/hep-th/0110009
Autor:
Abe, Mitsuo, Kawamura, Katsunori
Publikováno v:
Lett.Math.Phys.60:101-107,2002
Based on our previous work on the recursive fermion system in the Cuntz algebra, it is shown that a nonlinear transformation group of the CAR fermion algebra is induced from a $U(2^p)$ action on the Cuntz algebra ${\cal O}_{2^p}$ with an arbitrary po
Externí odkaz:
http://arxiv.org/abs/math-ph/0110004
Autor:
Abe, Mitsuo, Nakanishi, Noboru
Publikováno v:
Prog.Theor.Phys. 102 (1999) 1187-1200
In the conformal-gauge two-dimensional quantum gravity, the solution obtained by the perturbative or path-integral approach is compared with the one obtained by the operator-formalism approach. Treatments of the anomaly problem in both approaches are
Externí odkaz:
http://arxiv.org/abs/hep-th/9904057
Autor:
Abe, Mitsuo, Nakanishi, Noboru
Publikováno v:
Int.J.Mod.Phys. A14 (1999) 1357-1378
In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this result is extended to the closed and open bosonic strings of finite lengt
Externí odkaz:
http://arxiv.org/abs/hep-th/9807178
Autor:
Abe, Mitsuo, Nakanishi, Noboru
A comment is given to the reply of Kraemmer and Rebhan (hep-th/9711075) to our paper (hep-th/9710131).
Comment: 2 pages, LaTeX
Comment: 2 pages, LaTeX
Externí odkaz:
http://arxiv.org/abs/hep-th/9803055