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1. We define a three-dimensional quantum theory of gravity as the holographic dual of the Liouville conformal field theory.
2. In Liouville theory, momentum is not conserved.
3. These quantum symmetries of Liouville theory are however not manifest in the Lagrangian formulation, in particular the exponential potential is not invariant under the duality.
4. The spectrum of Liouville theory does not include a vacuum state.
5. Liouville theory can be used to identify patterns in the endless landscape of all possible random, jagged surfaces.
6. Liouville theory packages all those surfaces together into one object.
7. In part I, we review the bosonic Liouville theory.
8. In part II, we review the supersymmetric extension of the Liouville theory.
9. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications.
10. This review also includes some original material such as the derivation of the conjectured dual action for the Liouville theory from other known dualities.
11. It is verified that in the classical limit this expression reduces to what the classical Liouville theory predicts.
12. Abstract: An analytic expression is proposed for the three-point function of the exponential fields in the Liouville field theory on a sphere.
13. In the classical limit it coincides with what the classical Liouville theory predicts.
14. Using quantized self dual fields, the authors present an explicit operator solution to the Liouville theory, and discuss the results.
15. The Liouville theory presents many problems; it is known to be integrable, and the authors aim at an explicit solution.
16. Teschner J., Liouville theory revisited, Classical Quantum Gravity 18 (2001), 153-222, hep-th/0104158.
17. Liouville conformal field theory (LCFT) was introduced by Polyakov in 1981 as an essential ingredient in his path integral construction of string theory.
18. Since then Liouville theory has appeared in a wide variety of contexts ranging from random conformal geometry to 4d Yang-Mills theory with supersymmetry.
19. A rigorous probabilistic construction of Liouville conformal field theory (LCFT) on the Riemann sphere was recently given by David-Kupiainen and the last two authors.
20. In this paper, we focus on the connection between LCFT and the classical Liouville field theory via the semiclassical approach.
21. The integrable structure of Liouville theory Jorg Teschner DESY Hamburg Joint with A. Bytsko Typeset by FoilTEX What is Liouville theory?
22. Typeset by FoilTEX 1 What is Liouville theory?
23. Typeset by FoilTEX 2 What is quantum Liouville theory?
24. Typeset by FoilTEX 5 The integrable structure of Liouville theory 0 Why are we interested in the integrable structure of Liouville theory ?
25. CORE Provided by CERN Document Server Metadata, citation and similar papers at core.ac.uk Liouville Field Theory on a Pseudosphere RUNHETC-2001-02 LPM-01-01 January, 2001 A.Zamolodchikov and Al.

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• ID : Q6556124

Spacy 패턴 목록

• [{'LOWER': 'liouville'}, {'LOWER': 'field'}, {'LEMMA': 'theory'}]
• [{'LOWER': 'liouville'}, {'LEMMA': 'theory'}]
• [{'LOWER': 'liouville'}, {'LOWER': 'conformal'}, {'LOWER': 'field'}, {'LEMMA': 'theory'}]