New duality transformations in orbifold theory
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48 pages
Published in:
- Int.J.Mod.Phys.A 15 (2000) 1297-1344
e-Print:
- hep-th/9908187 [hep-th]
Report number:
- UCB-PTH-99-36,
- LBNL-44181,
- LBL-44181
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Abstract:
We find new duality transformations which allow us to construct the stress tensors of all the twisted sectors of any orbifold A(H)/H, where A(H) is the set of all current-algebraic conformal field theories with a finite symmetry group H \subset Aut(g). The permutation orbifolds with H = Z_\lambda and H = S_3 are worked out in full as illustrations but the general formalism includes both simple and semisimple g. The motivation for this development is the recently-discovered orbifold Virasoro master equation, whose solutions are identified by the duality transformations as sectors of the permutation orbifolds A(D_\lambda)/Z_\lambda.- master equation: Virasoro
- orbifold
- duality: transformation
- central charge
- current algebra
- algebra: representation
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