Foundations of Rational Quantum Field Theory, I

Gepner, Doron

Foundations of Rational Quantum Field Theory, I

Doron Gepner
(
- Caltech
)

Nov, 1992

105 pages

e-Print:

hep-th/9211100 [hep-th]

Report number:

CALT-68-1825

View in:

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Abstract:

The connection between Rational Conformal Field Theory (RCFT),

N=2

massive supersymmetric field theory, and solvable Interaction Round the Face (IRF) lattice models is explored here. Specifically, one identifies the fusion rings with the chiral rings. The theories so obtained are conjectured, and largely shown, to be integrable. A variety of examples and the structure of the metric in moduli space are given. The kink scattering theory is given by the Boltzmann weights of an IRF model, which is built entirely in terms of the conformal data of the original RCFT. This procedure produces all solvable IRF models in terms of projection operators of the RCFT. The soliton structure and their scattering amplitudes are described. A host of new rational conformal field theories are constructed generalizing most, if not all, of the known ones.

Note:

105 pages, 13 figures. Major revision

field theory: conformal
field theory: rational
dimension: 2
supersymmetry
field theory: massive
massive: field theory
lattice field theory
integrability
field theory: soliton
scattering amplitude

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Figures(0)

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