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Generalised twisted partition functions

2000/11/30 by V. B. Petkova, J. -B. Zuber · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)00276-3

published as Phys.Lett. B504 (2001) 157-164 · 12 pages, harvmac, 1 Table, 1 Figure . Minor typos corrected, the figure which had vanished reappears!

arxiv created 2000/11/30 · arxiv updated 2009/11/30

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.

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