Pythagoras0: /* 메타데이터 */ 새 문단

2022-07-11T10:41:03Z

메타데이터: 새 문단

Pythagoras0: /* 노트 */ 새 문단

2022-07-11T10:41:01Z

노트: 새 문단

새 문서

== 노트 ==

===말뭉치===
# We define a three-dimensional quantum theory of gravity as the holographic dual of the Liouville conformal field theory.<ref name="ref_3bc8d30c">[https://www.sciencedirect.com/science/article/pii/S0550321319303992 Liouville quantum gravity]</ref>
# In Liouville theory, momentum is not conserved.<ref name="ref_e399fb40">[https://en.wikipedia.org/wiki/Liouville_field_theory Liouville field theory]</ref>
# 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.<ref name="ref_e399fb40" />
# The spectrum of Liouville theory does not include a vacuum state.<ref name="ref_e399fb40" />
# Liouville theory can be used to identify patterns in the endless landscape of all possible random, jagged surfaces.<ref name="ref_0a3d180d">[https://www.quantamagazine.org/mathematicians-prove-2d-version-of-quantum-gravity-really-works-20210617/ Quanta Magazine]</ref>
# Liouville theory packages all those surfaces together into one object.<ref name="ref_0a3d180d" />
# In part I, we review the bosonic Liouville theory.<ref name="ref_25df893a">[https://www.worldscientific.com/doi/10.1142/S0217751X04019500 LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION]</ref>
# In part II, we review the supersymmetric extension of the Liouville theory.<ref name="ref_25df893a" />
# 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.<ref name="ref_25df893a" />
# This review also includes some original material such as the derivation of the conjectured dual action for the Liouville theory from other known dualities.<ref name="ref_25df893a" />
# It is verified that in the classical limit this expression reduces to what the classical Liouville theory predicts.<ref name="ref_9bcbd65c">[https://ui.adsabs.harvard.edu/abs/1996NuPhB.477..577Z/abstract Conformal bootstrap in Liouville field theory]</ref>
# Abstract: An analytic expression is proposed for the three-point function of the exponential fields in the Liouville field theory on a sphere.<ref name="ref_0c5f27a7">[https://typeset.io/topics/liouville-field-theory-vnw073z5 Liouville field theory]</ref>
# In the classical limit it coincides with what the classical Liouville theory predicts.<ref name="ref_0c5f27a7" />
# Using quantized self dual fields, the authors present an explicit operator solution to the Liouville theory, and discuss the results.<ref name="ref_8a22eab2">[https://www.osti.gov/biblio/5720251-exact-operator-solution-quantum-liouville-field-theory Exact operator solution of the quantum Liouville field theory (Journal Article)]</ref>
# The Liouville theory presents many problems; it is known to be integrable, and the authors aim at an explicit solution.<ref name="ref_8a22eab2" />
# Teschner J., Liouville theory revisited, Classical Quantum Gravity 18 (2001), 153-222, hep-th/0104158.<ref name="ref_f09cc89b">[http://www.emis.de/journals/SIGMA/2007/012/ Boundary Liouville Theory: Hamiltonian Description and Quantization]</ref>
# Liouville conformal field theory (LCFT) was introduced by Polyakov in 1981 as an essential ingredient in his path integral construction of string theory.<ref name="ref_dda5a4e3">[https://www.icts.res.in/seminar/2022-05-19/vincent-vargas Liouville conformal field theory: from probability theory to the conformal bootstrap]</ref>
# Since then Liouville theory has appeared in a wide variety of contexts ranging from random conformal geometry to 4d Yang-Mills theory with supersymmetry.<ref name="ref_dda5a4e3" />
# 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.<ref name="ref_c0c47b19">[https://paperswithcode.com/paper/the-semiclassical-limit-of-liouville The semiclassical limit of Liouville conformal field theory]</ref>
# In this paper, we focus on the connection between LCFT and the classical Liouville field theory via the semiclassical approach.<ref name="ref_c0c47b19" />
# The integrable structure of Liouville theory Jorg Teschner DESY Hamburg Joint with A. Bytsko Typeset by FoilTEX What is Liouville theory?<ref name="ref_38f7825d">[https://www3.math.tu-berlin.de/geometrie/GI08/slides/Teschner.pdf The integrable structure of liouville theory]</ref>
# Typeset by FoilTEX 1 What is Liouville theory?<ref name="ref_38f7825d" />
# Typeset by FoilTEX 2 What is quantum Liouville theory?<ref name="ref_38f7825d" />
# Typeset by FoilTEX 5 The integrable structure of Liouville theory 0 Why are we interested in the integrable structure of Liouville theory ?<ref name="ref_38f7825d" />
# 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.<ref name="ref_6c896a36">[https://core.ac.uk/download/pdf/25305103.pdf Core]</ref>
===소스===
<references />

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		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q6556124 Q6556124]
		+	===Spacy 패턴 목록===
		+	* [{'LOWER': 'liouville'}, {'LOWER': 'field'}, {'LEMMA': 'theory'}]
		+	* [{'LOWER': 'liouville'}, {'LEMMA': 'theory'}]
		+	* [{'LOWER': 'liouville'}, {'LOWER': 'conformal'}, {'LOWER': 'field'}, {'LEMMA': 'theory'}]

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Pythagoras0: /* 메타데이터 */ 새 문단

Pythagoras0: /* 노트 */ 새 문단