Linear real bundles, spinorial structures and automorphic forms in quantum geometry of strings

Autor:	B.L. Spokoiny, Yu.P. Goncharov
Rok vydání:	1987
Předmět:	Physics High Energy Physics::Theory Nuclear and High Energy Physics Pure mathematics Quantum geometry Non-critical string theory Bosonic string theory Mathematics::Differential Geometry String field theory Invariant (mathematics) String (physics) Cohomology Manifold
Zdroj:	Physics Letters B. 192:76-80
ISSN:	0370-2693
DOI:	10.1016/0370-2693(87)91145-2
Popis:	It is suggested to take the topological properties of compact riemannian surfaces more completely into account in the quantum geometry of strings. We use the fact that linear real bundles over any manifold M and spinorial structures on it are both classified by the same cohomology group H 1 (M; Z 2 ). As a consequence, one should consider different linear real bundles over M along with different spinorial structures at the same time. This may involve new contributions to string amplitudes compared to the ones obtained earlier when M was a compact riemannian surface. We investigate these possiblities by using the example of the genus-1 surfaces in the case of the bosonic string and also describe the construction of the fermionic string amplitudes which are invariant with respect to the choice of spinorial structure on the riemannian surface.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::92b7eba1d96eae3c85b2bffdcf31ad52 https://doi.org/10.1016/0370-2693(87)91145-2 Zobrazit plný text záznamu