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Duality in operator formalism

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TLDR
In this paper, a form for a dual resonant amplitude in which both duality and factorization are explicitly exhibited was proposed, and the transformation properties of the operators appearing in the model under the fundamental projective transformation of Koba and Nielsen were investigated.
Abstract
We propose a form for a dual resonant amplitude in which both duality and factorization are explicitly exhibited. This result is achieved by considering in detail the transformation properties of the operators appearing in the model under the fundamental projective transformation of Koba and Nielsen.

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Conformal invariance, supersymmetry and string theory

TL;DR: In this article, the BRST method is used to covariantly quantize superstrings, and in particular to construct the vertex operators for string emission as well as the supersymmetry charge.
Posted Content

D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes

TL;DR: In this article, the Euklidean correlation functions and vacuum expectation values of products of field operators of some Lorentz spin and dimension are expressed through Mellin amplitudes which depend on complex dimensions subject to linear constraints.
Journal ArticleDOI

Dual-resonance models

TL;DR: In this article, the dual-resonance model is treated both as S -matrix theories and as systems of interacting strings, and the related questions of ghost elimination and null states are discussed.
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A new approach to conformal invariant field theories

TL;DR: In this article, a new approach to conformal invariant field theories is presented, which is to introduce a fundamental scale of hadron phenomena by means of a dilatation non-invariant vacuum state in the framework of a scale invariant Lagrangian field theory.
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Stability of string vacua: (I). A new picture of the renormalization group

TL;DR: In this article, second-quantized field theories are rearranged to look like first-quantization strings expanded around an unstable classical vacuum, and the β function of the field theory becomes the tadpole amplitude of the string, the anomalous dimensions become the string mass matrix.
References
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Journal ArticleDOI

Level structure of dual-resonance models

TL;DR: In this article, the level structure of narrow-resonance models with duality is considered and a cancellation mechanism analogous to the one existing in QED (Ward identities) occurs here too.
Journal ArticleDOI

Reaction amplitude for n-mesons a generalization of the Veneziano-Bardakçi-Ruegg-Virasoro model

TL;DR: In this article, the Veneziano model for the binary meson reaction (n = 4), generalized by Bardakci and Ruegg and by Virasoro to n = 5, is further extended to the case of arbitrary n. The multi-resonance structure of the n-meson reaction is analyzed with the help of quark diagrams.
Journal ArticleDOI

Twisted propagator in the operatorial duality formalism

TL;DR: In this paper, an explicit operatorial form which represents the twisted lines in the duality diagrams is presented. But this form is not suitable for the problem of the derivation of the symmetric three-resonance vertices.
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