Open AccessBRS Cohomology of a Bilocal Model
Author(s) -
Takayuki Hori
Publication year - 1996
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.95.803
Subject(s) - cohomology , physics , square integrable function , subspace topology , gauge theory , dimension (graph theory) , space (punctuation) , hilbert space , symmetry (geometry) , field (mathematics) , gauge symmetry , pure mathematics , mathematical physics , mathematics , mathematical analysis , quantum mechanics , geometry , linguistics , philosophy
We present a model in which a gauge symmetry of a field theory is intrinsicin the geometry of an extended space time itself. A consequence is that thedimension of our space time is restricted through the BRS cohomology. If theHilbert space is a dense subspace of the space of all square integrable$C^{\infty}$ functions, the BRS cohomology classes are nontrivial only when thedimension is two or four.Comment: 15 pages, LaTeX. The original title, ``On the Dimension of the Space time'', is change
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom