Effect of Boundary Conditions on the Operator Content of Two-Dimensional Conformally Invariant Theories

Cardy, John L.

doi:10.1016/0550-3213(86)90596-1

Effect of Boundary Conditions on the Operator Content of Two-Dimensional Conformally Invariant Theories

John L. Cardy
(
- UC, Santa Barbara
)

1986

19 pages

Published in:

Nucl.Phys.B 275 (1986) 200-218

Published: 1986

DOI:

10.1016/0550-3213(86)90596-1

View in:

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Abstract: (Elsevier)

The operator content of unitary conformally invariant theories with c <1 is further analysed by deriving the spectrum of the transfer matrix for finite width strips and a variety of boundary conditions: antiperiodic, cyclic, twisted, free, fixed and a mixture of the last two. Complete results are obtained for the Ising model and for the three-state Potts model, as illustrations of the method. They demonstrate how the internal symmetries of these theories are tied in with their conformal properties.

FIELD THEORY: TWO-DIMENSIONAL
INVARIANCE: CONFORMAL
BOUNDARY CONDITION
ALGEBRA: VIRASORO
OPERATOR: ALGEBRA
SUM RULE
STATISTICAL MECHANICS: ISING
MODEL: POTTS
STATISTICAL MECHANICS: TRANSFER MATRIX

References(30)

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