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Irrational Conformal Field Theory [PDF]

Physics Reports, 1995
This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and the dynamics of irrational conformal field ...
Ademollo, Ademollo, Aldaya, Altschuler, Antoniadis, Antoniadis, Bais, Bais, Bakas, Banks, Banks, Banks, Bardakçi, Bardakçi, Bardakçi, Bardakçi, Bardakçi, Bardakçi, Bardakçi, Bardakçi, Bars, Bars, Bars, Belavin, Belov, Belov, Bernard, Bernard, Bouwknegt, Bowcock, Brower, Callan, Cohen, Coleman, Corrigan, de Boer, Deckmyn, Deckmyn, Dirac, Distler, Dixon, Dotsenko, Dotsenko, Douglas, Dunne, Dunne, E. Kiritsis, Eguchi, Eguchi, Etingoff, Fairlie, Fairlie, Fairlie, Fateev, Fateev, Feigin, Figueroa-O'Farrill, Figueroa-O'Farrill, Frappat, Freericks, Freericks, Frenkel, Friedan, Friedan, Fubini, Gates, Gawȩdzki, Gawȩdzki, Gell-Mann, Gepner, Gervais, Giveon, Giveon, Goddard, Goddard, Goddard, Goddard, Gorsky, Green, Green, Gross, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Halpern, Harary, Harary, Hwang, Jones, K. Clubok, Karabali, Karabali, Karabali, Karabali, Kazama, Kazama, Kazama, Kač, Kač, Kač, Kač, Kač, Kehagias, Kiritsis, Kiritsis, Kiritsis, Klein, Knizhnik, Lepowsky, M.B. Halpern, Mandelstam, Mandelstam, Mizoguchi, Mohammedi, Mohammedi, Mohammedi, Moody, Morozov, Morozov, N.A. Obers, Nappi, Neveu, Novikov, Olive, Patera, Polyakov, Popa, Pope, Ragoucy, Raiten, Ramond, Romans, Schrans, Schrans, Schrans, Segal, Seidel, Sfetsos, Sfetsos, Sfetsos, Siegel, Soloviev, Soloviev, Soloviev, Sommerfeld, Sugawara, Taylor, Tseytlin, Virasoro, Weis, Windey, Witten, Witten, Zamolodchikov, Zamolodchikov, Zamolodchikov   +178 more
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Axiomatic Conformal Field Theory [PDF]

Communications in Mathematical Physics, 1998
A new rigorous approach to conformal field theory is presented. The basic objects are families of complex-valued amplitudes, which define a meromorphic conformal field theory (or chiral algebra) and which lead naturally to the definition of topological ...
Gaberdiel, Matthias R, Goddard, Peter
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Spinons in Conformal Field Theory [PDF]

Nuclear Physics B, 1994
We study the $su(2)$ conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the ...
Bardakci, Bernard, D. Bernard, D. Serban, Dasmahapatra, Drinfeld, Drinfeld, Faddeev, Faddeev, Frenkel, Ha, Haldane, Haldane, Haldane, Haldane, Hikami, Izergin, Kashiwara, Polychronakos, Segal, Shastry, Stanley, Sutherland, V. Pasquier, Yang   +24 more
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Decoherence in Conformal Field Theory [PDF]

Journal of High Energy Physics, 2020
Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the eigenbasis of the ...
Adolfo del Campo, Tadashi Takayanagi
doaj   +4 more sources

Conformal field theory complexity from Euler-Arnold equations [PDF]

Journal of High Energy Physics, 2020
Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations.
Mario Flory, Michal P. Heller
doaj   +2 more sources

The Logarithmic Conformal Field Theories [PDF]

Nuclear Physics B, 1996
We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions.
A. Aghamohammadi, Belavin, Bilal, Blumenhagen, Blumenhagen, Caux, Flohr, Flohr, Gaberdiel, Gurarie, Kogan, M. Khorrami, M.R. Rahimi Tabar, Maassarani, Rahimi Tabar, Rahimi Tabar, Rahimi Tabar, Rahimi Tabar, Rozansky, Wen   +19 more
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Quantum gravity from conformal field theory [PDF]

Journal of High Energy Physics, 2018
We bootstrap loop corrections to AdS5 supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory.
F. Aprile, J. M. Drummond, P. Heslop, H. Paul   +3 more
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ALE manifolds and Conformal Field Theory [PDF]

International Journal of Modern Physics A, 1993
We address the problem of constructing the family of (4,4) theories associated with the sigma-model on a parametrized family ${\cal M}_{\zeta}$ of Asymptotically Locally Euclidean (ALE) manifolds.
Anselmi, D., Billó, M., Fré, P., Girardello, L., Zaffaroni, A.   +4 more
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Open Descendants in Conformal Field Theory [PDF]

Fortschritte der Physik/Progress of Physics, 1996
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.
A. Sagnotti, Alessandrini, Alessandrini, Belavin, Bern, Bianchi, Bianchi, Bianchi, Bianchi, Bianchi, Blau, Callan, Cappelli, Cardy, Cardy, Chodos, Clavelli, Clavelli, Corrigan, Cremmer, Dai, Douglas, Fioravanti, Gowaerts, Green, Green, Green, Green, Green, Harvey, Horava, Horava, Ishibashi, Ishibashi, Knizhnik, Lewellen, Ludwig, Marcus, Marcus, Moore, Moore, Paton, Polchinski, Polchinski, Polchinski, Pradisi, Pradisi, Pradisi, Pradisi, Sagnotti, Sagnotti, Schwarz, Siegel, Sonoda, Stanev, Veneziano, Venturi, Verlinde, Weinberg, Witten, Ya.S. Stanev   +60 more
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Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model

SciPost Physics, 2023
The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model.
Rongvoram Nivesvivat
doaj   +1 more source