Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-11-21
J.Phys.A42:315207,2009
Physics
High Energy Physics
High Energy Physics - Theory
32 pages; minor changes, corrected typos
Scientific paper
10.1088/1751-8113/42/31/315207
We introduce p-1 pseudocharacters in the space of (1,p) model vacuum torus amplitudes to complete the distinguished basis in the 2p-dimensional fusion algebra to a basis in the whole (3p-1)-dimensional space of torus amplitudes, and the structure constants in this basis are integer numbers. We obtain a generalized Verlinde-formula that gives these structure constants. In the context of theories with boundaries, we identify the space of vacuum torus amplitudes with the space of Ishibashi states. Then, we propose 3p-1 boundary states satisfying the Cardy condition.
Gainutdinov Azat M.
Tipunin Yu. I.
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