Charged structure constants from modularity
Abstract We derive a universal formula for the average heavy-heavy-light structure constants for 2d CFTs with non-vanishing u1 $$ \mathfrak{u}(1) $$ charge. The derivation utilizes the modular properties of one-point functions on the torus. Refinements in N=2 $$ \mathcal{N}=2 $$ SCFTs, show that the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)183 |
| Summary: | Abstract We derive a universal formula for the average heavy-heavy-light structure constants for 2d CFTs with non-vanishing u1 $$ \mathfrak{u}(1) $$ charge. The derivation utilizes the modular properties of one-point functions on the torus. Refinements in N=2 $$ \mathcal{N}=2 $$ SCFTs, show that the resulting Cardy-like formula for the structure constants has precisely the same shifts in the central charge as that of the thermodynamic entropy found earlier. This analysis generalizes the recent results by Kraus and Maloney for CFTs with an additional global u1 $$ \mathfrak{u}(1) $$ symmetry [1]. Our results at large central charge are also shown to match with computations from the holographic dual, which suggest that the averaged CFT three-point coefficient also serves as a useful probe of detecting black hole hair. |
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| ISSN: | 1029-8479 |