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Open Descendants in Conformal Field Theory

Open descendants in conformal field theory
Authors: SAGNOTTI, AUGUSTO; Stanev, YS;

Open Descendants in Conformal Field Theory

Abstract

Open descendants extend Conformal Field Theory to unoriented surfaces with boundaries. The construction rests on two types of generalizations of the fusion algebra. The first is needed even in the relatively simple case of diagonal models. It leads to a new tensor that satisfies the fusion algebra, but whose entries are signed integers. The second is needed when dealing with non-diagonal models, where Cardy's ansatz does not apply. It leads to a new tensor with positive integer entries, that satisfies a set of polynomial equations and encodes the classification of the allowed boundary operators.

19 pages, LATEX, 4 eps figures. Contribution to the Proceedings of the CERN Meeting on STU Dualities, Dec. 95

Keywords

High Energy Physics - Theory, superstring theory, 1 superstring, Open-string theorie, 2 dimension, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, fusion rule, boundary, High Energy Physics - Theory (hep-th), orbifold, su(2) wzw model, planar duality, Settore MAT/07 - FISICA MATEMATICA, Open-string theories; su(2) wzw models; superstring theory; 1 superstrings; planar duality; fusion rules; 2 dimensions; symmetry; orbifolds; boundary, symmetry

  • BIP!
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    41
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
41
Average
Top 10%
Top 10%
Green
bronze