Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory

Author:

Arai Asao

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference42 articles.

1. Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold;Arai;J. Funct. Anal.,1989

2. A general class of infinite dimensional Dirac operators and path integral representation of their index;Arai;J. Funct. Anal.,1992

3. Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons;Arai;J. Math. Phys.,1989

4. A general class of infinite dimensional Dirac operators and related aspects;Arai,1991

5. Fock-space representation of the relativistic supersymmetry algebra in the two-dimensional space-time;Arai;Hokkaido Univ. Preprint Series in Math. No. 123,1991

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1. A Special Class of Infinite Dimensional Dirac Operators on the Abstract Boson-Fermion Fock Space;Journal of Mathematics;2014

2. ITÔ–WIENER CHAOS AND THE HODGE DECOMPOSITION ON AN ABSTRACT WIENER SPACE;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2013-03

3. $L^{2}$-Betti Numbers of Infinite Configuration Spaces;Publications of the Research Institute for Mathematical Sciences;2006

4. On deformations of 2d SCFTs;Journal of High Energy Physics;2004-07-01

5. Laplace operators in deRham complexes associated with measures on configuration spaces;Journal of Geometry and Physics;2003-08

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