Generalized twisted partition functions

Petkova, V.B.; Zuber, J.B.

doi:10.1016/S0370-2693(01)00276-3

Generalized twisted partition functions

V.B. Petkova
(
- Northumbria U.
)
,
J.B. Zuber
(
- CERN
)

Nov, 2000

11 pages

Published in:

Phys.Lett.B 504 (2001) 157-164

e-Print:

hep-th/0011021 [hep-th]

DOI:

10.1016/S0370-2693(01)00276-3

Report number:

UNN-SCM-M-00-07,
CERN-TH-2000-322

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Abstract:

We consider the set of partition functions that result from the insertion of twist operators compatible with conformal invariance in a given 2D Conformal Field Theory (CFT). A consistency equation, which gives a classification of twists, is written and solved in particular cases. This generalises old results on twisted torus boundary conditions, gives a physical interpretation of Ocneanu's algebraic construction, and might offer a new route to the study of properties of CFT.

Note:

12 pages, harvmac, 1 Table, 1 Figure . Minor typos corrected, the figure which had vanished reappears! Report-no: UNN-SCM-M-00-07, CERN-TH/2000-322

field theory: conformal
field theory: rational
dimension: 2
boundary condition
partition function
operator product expansion

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