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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 2, Pages 252–264
DOI: https://doi.org/10.4213/tmf1779 (Mi tmf1779) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Quantum inverse scattering method and (super)conformal field theory

P. P. Kulisha, A. M. Zeitlinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (267 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf1779
Abstract: We consider the possibility of using the quantum inverse scattering method to study the superconformal field theory and its integrable perturbations. The classical limit of the considered constructions is based on the $\widehat{osp}(1|2)$ super-KdV hierarchy. We introduce the quantum counterpart of the monodromy matrix corresponding to the linear problem associated with the L-operator and use the explicit form of the irreducible representations of $\widehat{osp}_q(1|2)$ to obtain the “fusion relations” for the transfer matrices (i.e., the traces of the monodromy matrices in different representations).
Keywords: superconformal field theory, supersymmetric Korteweg–de Vries equation.
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 211–221
DOI: https://doi.org/10.1007/s11232-005-0054-5
Bibliographic databases:
Language: Russian
Citation: P. P. Kulish, A. M. Zeitlin, “Quantum inverse scattering method and (super)conformal field theory”, TMF, 142:2 (2005), 252–264; Theoret. and Math. Phys., 142:2 (2005), 211–221
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf1779
  • https://www.mathnet.ru/eng/tmf/v142/i2/p252
    • This publication is cited in the following 6 articles:
    1. Kitanine N. Nepomechie R.I. Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201  crossref  mathscinet  zmath  isi  scopus  scopus
    2. “Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19  mathnet  mathscinet
    3. Runkel, I, “Perturbed defects and T-systems in conformal field theory”, Journal of Physics A-Mathematical and Theoretical, 41:10 (2008), 105401  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. A. M. Zeitlin, “Quantization of the $N{=}2$ supersymmetric $\text{KdV}$ hierarchy”, Theoret. and Math. Phys., 147:2 (2006), 698–708  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Dancer, KA, “Eigenvalues of Casimir invariants for U-q[osp(m vertical bar n)]”, Journal of Mathematical Physics, 46:12 (2005), 123501  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    6. Kulish, PP, “Quantum supersymmetric Toda-mKdV hierarchies”, Nuclear Physics B, 720:3 (2005), 289  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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