Using a synthesis of the functional integral and operator approaches we discuss the fermion-boson mapping and the role played by the Bose field algebra in the Hilbert space of two-dimensional gauge and anomalous gauge field theories with massive fermions. In QED 2 with quartic self-interaction among
Massive boson-fermion degeneracy and the early structure of the universe
✍ Scribed by C. Kounnas
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 245 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0015-8208
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✦ Synopsis
Abstract
The existence of a new kind of massive boson‐fermion symmetry is shown explicitly in the framework of the heterotic, type II and type II orientifold superstring theories. The target space‐time is two‐dimensional. Higher dimensional models are defined via large marginal deformations of JJ‐type. The spectrum of the initial undeformed two dimensional vacuum consists of massless boson degrees of freedom, while all massive boson and fermion degrees of freedom exhibit a new Massive Spectrum Degeneracy Symmetry (MSDS). This precise property, distinguishes the MSDS theories from the well known supersymmetric SUSY‐theories. Some proposals are stated in the framework of these theories concerning the structure of: (i) The Early Non‐singular Phase of the Universe, (ii) The two dimensional boundary theory of AdS~3~ Black‐Holes, (iii) Plausible applications of the MSDS theories in particle physics, alternative to SUSY.
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