scholarly journals Superconformal field theory and operator algebras

2019 ◽  
Author(s):  
Yasuyuki Kawahigashi
Keyword(s):  
Field Theory ◽  
Operator Algebras ◽  
Superconformal Field Theory

scholarly journals From operator algebras to superconformal field theory

2010 ◽  
Vol 51 (1) ◽  
pp. 015209 ◽  
Author(s):  
Yasuyuki Kawahigashi
Keyword(s):  
Field Theory ◽  
Operator Algebras ◽  
Superconformal 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 Superconformal field theory and SUSY N=1 KdV hierarchy I: vertex operators and Yang–Baxter equation

2004 ◽  
Vol 597 (2) ◽  
pp. 229-236 ◽  
Author(s):  
Petr P. Kulish ◽  
Anton M. Zeitlin
Keyword(s):  
Field Theory ◽  
Vertex Operators ◽  
Baxter Equation ◽  
Superconformal Field Theory ◽  
Kdv Hierarchy

More about superconformal field theory. Hamiltonian formalism

1993 ◽  
Vol 32 (5) ◽  
pp. 775-790
Author(s):  
A. Foussats ◽  
C. Repetto ◽  
O. P. Zandron ◽  
O. S. Zandron
Keyword(s):  
Field Theory ◽  
Hamiltonian Formalism ◽  
Superconformal Field Theory

scholarly journals Two-dimensional abelian BF theory in Lorenz gauge as a twisted N=(2,2) superconformal field theory

2018 ◽  
Vol 131 ◽  
pp. 122-137 ◽  
Author(s):  
Andrey S. Losev ◽  
Pavel Mnev ◽  
Donald R. Youmans
Keyword(s):  
Field Theory ◽  
Two Dimensional ◽  
Superconformal Field Theory ◽  
Bf Theory ◽  
Lorenz Gauge

Conformal Field Theory III: Superconformal Field Theory

2012 ◽  
pp. 355-390
Author(s):  
Ralph Blumenhagen ◽  
Dieter Lüst ◽  
Stefan Theisen
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Superconformal Field Theory ◽  
Conformal Field

scholarly journals Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau–Ginzburg model

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Okuto Morikawa
Keyword(s):  
Field Theory ◽  
Continuum Limit ◽  
Central Charge ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Superconformal Field Theory ◽  
Lattice Field ◽  
Scaling Dimension ◽  
The Continuum

Abstract The $\mathcal{N}=2$ Landau–Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional $\mathcal{N}=2$ Wess–Zumino model. Recently, the conjectured correspondence has been studied by using numerical techniques based on lattice field theory; the scaling dimension and the central charge have been directly measured. We study a single superfield with a cubic superpotential, and give an extrapolation method to the continuum limit. Then, on the basis of a supersymmetric-invariant numerical algorithm, we perform a precision measurement of the scaling dimension through a finite-size scaling analysis.

Minimal operator algebras in superconformal quantum field theory

1985 ◽  
Vol 151 (1) ◽  
pp. 26-30 ◽  
Author(s):  
H. Eichenherr
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Operator Algebras ◽  
Quantum Field ◽  
Minimal Operator
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