scholarly journals A probabilistic approach of Liouville field theory

2021 ◽  
Vol 21 (6) ◽  
pp. 561-569
Author(s):  
Rémi Rhodes ◽  
Vincent Vargas
Keyword(s):  
Field Theory ◽  
Probabilistic Approach ◽  
Liouville Field Theory

scholarly journals Higher rank FZZ-dualities

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Thomas Creutzig ◽  
Yasuaki Hikida
Keyword(s):  
Field Theory ◽  
Reduction Method ◽  
Operator Algebras ◽  
The Self ◽  
Liouville Theory ◽  
Conformal Field ◽  
Self Duality ◽  
Higher Rank ◽  
Corner Vertex ◽  
Liouville Field Theory

Abstract We examine strong/weak dualities in two dimensional conformal field theories by generalizing the Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality between Witten’s cigar model described by the $$ \mathfrak{sl}(2)/\mathfrak{u}(1) $$ sl 2 / u 1 coset and sine-Liouville theory. In a previous work, a proof of the FZZ-duality was provided by applying the reduction method from $$ \mathfrak{sl}(2) $$ sl 2 Wess-Zumino-Novikov-Witten model to Liouville field theory and the self-duality of Liouville field theory. In this paper, we work with the coset model of the type $$ \mathfrak{sl}\left(N+1\right)/\left(\mathfrak{sl}(N)\times \mathfrak{u}(1)\right) $$ sl N + 1 / sl N × u 1 and investigate the equivalence to a theory with an $$ \mathfrak{sl}\left(N+\left.1\right|N\right) $$ sl N + 1 N structure. We derive the duality explicitly for N = 2, 3 by applying recent works on the reduction method extended for $$ \mathfrak{sl}(N) $$ sl N and the self-duality of Toda field theory. Our results can be regarded as a conformal field theoretic derivation of the duality of the Gaiotto-Rapčák corner vertex operator algebras Y0,N,N+1[ψ] and YN,0,N+1[ψ−1].

scholarly journals Logarithmic correlation functions in Liouville field theory

2002 ◽  
Vol 546 (3-4) ◽  
pp. 300-304 ◽  
Author(s):  
Shun-ichi Yamaguchi
Keyword(s):  
Field Theory ◽  
Correlation Functions ◽  
Liouville Field Theory

scholarly journals Liouville field theory with heavy charges, II. The conformal boundary case

2006 ◽  
Vol 2006 (06) ◽  
pp. 022-022 ◽  
Author(s):  
Pietro Menotti ◽  
Erik Tonni
Keyword(s):  
Field Theory ◽  
Conformal Boundary ◽  
Boundary Case ◽  
Liouville Field Theory

The Liouville Field Theory Zero-Mode Problem

2004 ◽  
Vol 139 (2) ◽  
pp. 654-671 ◽  
Author(s):  
G. Jorjadze ◽  
G. Weigt
Keyword(s):  
Field Theory ◽  
Zero Mode ◽  
Liouville Field Theory

QUANTUM LIOUVILLE FIELD THEORY ON A MANIFOLD WITH BOUNDARY

1998 ◽  
Vol 13 (25) ◽  
pp. 2057-2063
Author(s):  
S. A. APIKYAN
Keyword(s):  
Field Theory ◽  
Functional Equations ◽  
Ward Identity ◽  
Semiclassical Approximation ◽  
Boundary Structure ◽  
Manifold With Boundary ◽  
Structure Constants ◽  
Liouville Field Theory

This letter studies the quantum Liouville field theory on a manifold with boundary. The boundary conformal Ward identity (CWI) is written and its semiclassical approximation is analyzed. This establishes a method of finding the accessory parameters of the theory with boundary. The boundary structure constants of the theory are defined and the functional equations which determine them are derived.

Exact quantum S-matrix in the Liouville field theory

1996 ◽  
Vol 29 (5) ◽  
pp. 1145-1145
Author(s):  
I M Khamitov
Keyword(s):  
Field Theory ◽  
Exact Quantum ◽  
S Matrix ◽  
Liouville Field Theory

scholarly journals On mini-superspace limit of boundary three-point function in Liouville field theory

2017 ◽  
Vol 2017 (12) ◽  
Author(s):  
Elena Apresyan ◽  
Gor Sarkissian
Keyword(s):  
Field Theory ◽  
Point Function ◽  
Liouville Field Theory

scholarly journals Crumpled wires and Liouville field theory

2009 ◽  
Vol 88 (3) ◽  
pp. 31001 ◽  
Author(s):  
B. Carneiro da Cunha
Keyword(s):  
Field Theory ◽  
Liouville Field Theory

scholarly journals Liouville Field Theory and Log-Correlated Random Energy Models

2017 ◽  
Vol 118 (9) ◽  
Author(s):  
Xiangyu Cao ◽  
Alberto Rosso ◽  
Raoul Santachiara ◽  
Pierre Le Doussal
Keyword(s):  
Field Theory ◽  
Random Energy ◽  
Energy Models ◽  
Liouville Field Theory

scholarly journals Conformal bootstrap in Liouville field theory

1996 ◽  
Vol 477 (2) ◽  
pp. 577-605 ◽  
Author(s):  
A. Zamolodchikov ◽  
Al. Zamolodchikov
Keyword(s):  
Field Theory ◽  
Conformal Bootstrap ◽  
Liouville Field Theory
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