Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
36 (1995), S. 3216-3231
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
On Zn symmetric algebraic curves of any genus the Hilbert space of analytic free fields with integer spin is constructed. As an application, an operator formalism for the b–c systems is developed. The physical states are expressed in terms of creation and annihilation operators as in the complex plane and the correlation functions are evaluated exploiting simple normal ordering rules. The formalism is very suitable for performing explicit calculations on Riemann surfaces and, moreover, it gives some insight into the nature of two-dimensional field theories on a manifold. It is proven, in fact, that the b–c systems on a Zn symmetric algebraic curve are equivalent to a conformal field theory on the complex plane having as primary operators twist fields and free ghosts. Some consequences of the interplay between topology and statistics are also discussed. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.531027
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