String models with \(c<1\) components. (English) Zbl 0661.17018

Bardakci, K.; Rabinovici, E.; Säring, B.

Nucl. Phys. B 299, No. 1, 151-182 (1988).

We construct part of the current algebra of d-dimensional strings from statistical mechanical models with \(c<1\). General properties of such models are discussed and a few examples are given. In the process, a fermionic field theoretic realization of the \(c<1\) modular invariant models emerges. Bosonization aspects of the systems are discussed.

MSC:

17B65	Infinite-dimensional Lie (super)algebras
81T99	Quantum field theory; related classical field theories

Keywords:

current algebra; strings; fermionic field; modular invariant

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