Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
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In this paper, the authors present an investigation of the massless, two-dimentional, interacting field theories and their invariance under an infinite-dimensional group of conformal transformations.About:
This article is published in Nuclear Physics.The article was published on 1984-07-23 and is currently open access. It has received 4595 citations till now. The article focuses on the topics: Conformal field theory & Conformal symmetry.read more
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Non-Abelian Anyons and Topological Quantum Computation
TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the ''ensuremath{
u}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.
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Entanglement entropy and quantum field theory
Pasquale Calabrese,John Cardy +1 more
TL;DR: In this article, a systematic study of entanglement entropy in relativistic quantum field theory is carried out, where the von Neumann entropy is defined as the reduced density matrix ρA of a subsystem A of a 1+1-dimensional critical system, whose continuum limit is a conformal field theory with central charge c, and the results are verified for a free massive field theory.
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Operator Content of Two-Dimensional Conformally Invariant Theories
TL;DR: In this paper, it was shown how conformal invariance relates many numerically accessible properties of the transfer matrix of a critical system in a finite-width infinitely long strip to bulk universal quantities.
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Liouville Correlation Functions from Four-dimensional Gauge Theories
TL;DR: In this paper, the authors conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of SCFTs recently defined by one of the authors.
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Current Algebra and Wess-Zumino Model in Two-Dimensions
TL;DR: In this article, the anomalous dimensions of the Wess-Zumino fields are found exactly, and the multipoint correlation functions are shown to satisfy linear differential equations, in particular, Witten's non-abelean bosonisation rules are proven.
References
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Quantum Geometry of Bosonic Strings
TL;DR: In this article, a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.) is developed.
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Non-Lagrangian Models of Current Algebra
TL;DR: In this article, an alternative to specific Lagrangian models of current algebra is proposed, in which scale invariance is a broken symmetry of strong interactions, as proposed by Kastrup and Mack.