Lattice topological field theory on nonorientable surfaces

Lattice topological field theory on nonorientable surfaces

The lattice definition of the two-dimensional topological quantum field theory [Fukuma et al., Commun. Math. Phys. 161, 157 (1994)] is generalized to arbitrary (not necessarily orientable) compact surfaces. It is shown that there is a one-to-one correspondence between real associative *-algebras and...

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Veröffentlicht in:Journal of Mathematical Physics 1997-01, Vol.38 (1), p.49-66
Hauptverfasser: Karimipour, V., Mostafazadeh, A.
Format: Artikel
Sprache:eng
Schlagworte:
ALGEBRA
GROUP THEORY
LATTICE FIELD THEORY
MATHEMATICAL MANIFOLDS
PARTITION FUNCTIONS
PHYSICS
SURFACES
TOPOLOGY
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creator Karimipour, V.
Mostafazadeh, A.
description The lattice definition of the two-dimensional topological quantum field theory [Fukuma et al., Commun. Math. Phys. 161, 157 (1994)] is generalized to arbitrary (not necessarily orientable) compact surfaces. It is shown that there is a one-to-one correspondence between real associative *-algebras and the topological state sum invariants defined on such surfaces. The partition and n-point functions on all two-dimensional surfaces (connected sums of the Klein bottle or projective plane and g-tori) are defined and computed for arbitrary *-algebras in general, and for the group ring A=R [G] of discrete groups G, in particular.
doi_str_mv 10.1063/1.531830
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subjects ALGEBRA
GROUP THEORY
LATTICE FIELD THEORY
MATHEMATICAL MANIFOLDS
PARTITION FUNCTIONS
PHYSICS
SURFACES
TOPOLOGY
title Lattice topological field theory on nonorientable surfaces
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