期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2021)169
关键词
Black Holes in String Theory; Field Theories in Lower Dimensions; Sigma Models
资金
- Australian Research Council [DP190103144]
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - Quantum Universe [390833306, EXC 2121]
- Rutgers New High Energy Theory Center
This work explores quantum Lorentzian and Euclidean black hole non-linear sigma models, proposing an equilibrium density matrix for the Euclidean black hole sigma model and describing the linear and Hermitian structure of the space of states for the Lorentzian black hole sigma model. The analysis is guided by the results of a study on a critical, integrable spin chain which exhibits key features of the Lorentzian black hole sigma model in the scaling limit.
This work concerns the quantum Lorentzian and Euclidean black hole non-linear sigma models. For the Euclidean black hole sigma model an equilibrium density matrix is proposed, which reproduces the modular invariant partition function from the 2001 paper of Maldacena, Ooguri and Son. For the Lorentzian black hole sigma model, using its formulation as a gauged SL(2, ) WZW model, we describe the linear and Hermitian structure of its space of states and also propose an expression for the equilibrium density matrix. Our analysis is guided by the results of the study of a certain critical, integrable spin chain. In the scaling limit, the latter exhibits the key features of the Lorentzian black hole sigma model including the same global symmetries, the same algebra of extended conformal symmetry and a continuous spectrum of conformal dimensions.
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