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(Mathematics and string theory)
Author(s) -
Marcos Mariño
Publication year - 1992
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/7035818
Subject(s) - physics , phenomenology (philosophy) , theoretical physics , string phenomenology , conformal field theory , string theory , quantum field theory , gauge theory , quantum chromodynamics , higgs boson , homogeneous space , particle physics , relationship between string theory and quantum field theory , conformal map , mathematical physics , mathematics , quantum mechanics , quantum , quantum gravity , geometry , epistemology , philosophy
Non-commutative differential geometry, whose foundations were laid by A. Comaes, is u new area. of mathematical research with a big potential for development. A natural field of application for the ideas of non-commutative geometry is the study of geometric _ structum_ azising from quantum physics. A natural tool to study these is the Pfafflan on infinite dimensional spaces [JL]. Quantization of classical spaces leads to examples of both "finite (p-summable) and ixffinite dimensional (O-surmnable) non-con_nutative (quantum)

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