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Article Dans Une Revue Journal of High Energy Physics Année : 2022

Long strings and quasinormal winding modes

Résumé

We compute the path integral for a particle on the covering group of SL(2, ℝ) using a decomposition of the Lie algebra into adjoint orbits. We thus intuitively derive the Hilbert space of the particle on the group including discrete and continuous representations. Next, we perform a Lorentzian hyperbolic orbifold of the partition function and relate it to the Euclidean BTZ partition function. We use the particle model to inform further discussion of the spectral content of the one loop vacuum amplitude for strings on BTZ black hole backgrounds. We argue that the poles in the loop integrand code contributions of long string modes that wind the black hole. We moreover identify saddle point contributions of quasinormal winding modes.

Dates et versions

hal-03736349 , version 1 (22-07-2022)

Identifiants

Citer

Sujay K. Ashok, Jan Troost. Long strings and quasinormal winding modes. Journal of High Energy Physics, 2022, 09, pp.172. ⟨10.1007/JHEP09(2022)172⟩. ⟨hal-03736349⟩
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