The no-ghost theorem for \(\text{AdS}_ 3\) and the stringy exclusion principle.(English)Zbl 1080.81570
Summary: A complete proof of the no-ghost theorem for bosonic and fermionic string theories on \(\text{AdS}_3\), or the group manifold of SU\((1,1)\), is given. It is then shown that the restriction on the spin (in terms of the level) that is necessary to obtain a ghost-free spectrum corresponds to the stringy exclusion principle of Maldacena and Strøminger.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E30 | String and superstring theories in gravitational theory |
Cite
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