Differential geometry

Liouville field theory

In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the central charge of its Virasoro symmetry algebra, but it is unitary only if , and its classical limit is . Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically. (Wikipedia).

Liouville field theory
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Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory -Rhodes, Vargas

Mathematical Physics Seminar Topic: Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory Speakers: Rémi Rhodes; Vincent Vargas Affiliation: Université Aix-Marseille; École Normale Supérieure Date: May 04, 2022 Liouville field theory was introduced by Polya

From playlist Mathematics

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Jason Miller - 4/4 Equivalence of Liouville quantum gravity and the Brownian map

Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho

From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map

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Vincent Vargas - 4/4 Liouville conformal field theory and the DOZZ formula

Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a

From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula

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Jason Miller - 2/4 Equivalence of Liouville quantum gravity and the Brownian map

Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho

From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map

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Jason Miller - 3/4 Equivalence of Liouville quantum gravity and the Brownian map

Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho

From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map

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Jason Miller - 1/4 Equivalence of Liouville quantum gravity and the Brownian map

Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho

From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map

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Colloquium MathAlp 2016 - Vincent Vargas

La théorie conforme des champs de Liouville en dimension 2 La théorie conforme des champs de Liouville fut introduite en 1981 par le physicien Polyakov dans le cadre de sa théorie des sommations sur les surfaces de Riemann. Bien que la théorie de Liouville est très étudiée dans le context

From playlist Colloquiums MathAlp

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An Introduction to Liouville Theory - Antti Kupiainen

Special Mathematics Physics Seminar Topic: An Introduction to Liouville Theory Speaker: Antti Kupiainen Affiliation: University of Helsinki Date: May 15, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Vincent Vargas - 3/4 Liouville conformal field theory and the DOZZ formula

Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a

From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula

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2021's Biggest Breakthroughs in Math and Computer Science

It was a big year. Researchers found a way to idealize deep neural networks using kernel machines—an important step toward opening these black boxes. There were major developments toward an answer about the nature of infinity. And a mathematician finally managed to model quantum gravity. R

From playlist Discoveries

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Vincent Vargas - 1/4 Liouville conformal field theory and the DOZZ formula

Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a

From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula

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Coadjoint Orbits and Liouville Bulk Dual by Gautam Mandal

11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but

From playlist String Theory: Past and Present

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Guillaume Remy (Columbia) -- Integrability of boundary Liouville CFT

Liouville theory is a fundamental example of a conformal field theory (CFT) first introduced by A. Polyakov in the context of string theory. In recent years it has been rigorously studied using probabilistic techniques. In this talk we will study the integrable structure of Liouville CFT o

From playlist Northeastern Probability Seminar 2020

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The Liouville conformal field theory quantum zipper - Morris Ang

Probability Seminar Topic: The Liouville conformal field theory quantum zipper Speaker: Morris Ang Affiliation: Columbia University Date: February 17, 2023 Sheffield showed that conformally welding a γ-Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (

From playlist Mathematics

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Vincent Vargas - 2/4 Liouville conformal field theory and the DOZZ formula

Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a

From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula

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