Abstract
Pairs A contains or equal to B of local quantum field theories are studied, where A is a chiral conformal quantum field theory and B is a local extension, either chiral or two-dimensional. The local correlation functions of fields from B have an expansion with respect to A into conformal blocks, which are non-local in general. Two methods of computing characteristic invariant ratios of structure constants in these expansions are compared: (a) by constructing the monodromy representation of the braid group in the space of solutions of the Knizhnik-Zamolodchikov differential equation, and (b) by an analysis of the local subfactors associated with the extension with methods from operator algebra (Jones theory) and algebraic quantum field theory. Both approaches apply also to the reverse problem: the characterization and (in principle) classification of local extensions of a given theory. (orig.)
Rehren, K H;
[1]
Stanev, Y S;
[2]
Todorov, I T
[2]
- Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
- Erwin Schroedinger Inst. of Mathematical Physics (ESI), Vienna (Austria)
Citation Formats
Rehren, K H, Stanev, Y S, and Todorov, I T.
Characterizing invariants for local extensions of current algebras.
Germany: N. p.,
1994.
Web.
Rehren, K H, Stanev, Y S, & Todorov, I T.
Characterizing invariants for local extensions of current algebras.
Germany.
Rehren, K H, Stanev, Y S, and Todorov, I T.
1994.
"Characterizing invariants for local extensions of current algebras."
Germany.
@misc{etde_10121384,
title = {Characterizing invariants for local extensions of current algebras}
author = {Rehren, K H, Stanev, Y S, and Todorov, I T}
abstractNote = {Pairs A contains or equal to B of local quantum field theories are studied, where A is a chiral conformal quantum field theory and B is a local extension, either chiral or two-dimensional. The local correlation functions of fields from B have an expansion with respect to A into conformal blocks, which are non-local in general. Two methods of computing characteristic invariant ratios of structure constants in these expansions are compared: (a) by constructing the monodromy representation of the braid group in the space of solutions of the Knizhnik-Zamolodchikov differential equation, and (b) by an analysis of the local subfactors associated with the extension with methods from operator algebra (Jones theory) and algebraic quantum field theory. Both approaches apply also to the reverse problem: the characterization and (in principle) classification of local extensions of a given theory. (orig.)}
place = {Germany}
year = {1994}
month = {Sep}
}
title = {Characterizing invariants for local extensions of current algebras}
author = {Rehren, K H, Stanev, Y S, and Todorov, I T}
abstractNote = {Pairs A contains or equal to B of local quantum field theories are studied, where A is a chiral conformal quantum field theory and B is a local extension, either chiral or two-dimensional. The local correlation functions of fields from B have an expansion with respect to A into conformal blocks, which are non-local in general. Two methods of computing characteristic invariant ratios of structure constants in these expansions are compared: (a) by constructing the monodromy representation of the braid group in the space of solutions of the Knizhnik-Zamolodchikov differential equation, and (b) by an analysis of the local subfactors associated with the extension with methods from operator algebra (Jones theory) and algebraic quantum field theory. Both approaches apply also to the reverse problem: the characterization and (in principle) classification of local extensions of a given theory. (orig.)}
place = {Germany}
year = {1994}
month = {Sep}
}