Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 2, Pages 198–218
DOI: https://doi.org/10.4213/tmf9137 (Mi tmf9137) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Fusion transformations in Liouville theory

N. A. Nemkovab

a State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
Full-text PDF (549 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9137
Abstract: We study the fusion kernel for nondegenerate conformal blocks in the Liouville theory as a solution of difference equations originating from the pentagon identity. We propose an approach for solving these equations based on a "nonperturbative" series expansion that allows calculating the fusion kernel iteratively. We also find exact solutions for the special central charge values $c=1+6(b-b^{-1})^2$, $b\in\mathbb N$. For $c=1$, the obtained result reproduces the formula previously obtained from analytic properties of a solution of a Painlevé equation, but our solution has a significantly simplified form.
Keywords: conformal field theory, Liouville theory, Virasoro algebra.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-1500.2014.2
Russian Foundation for Basic Research 13-02-00457
14-02-31372-мол_а
This research is supported in part by the Program for Supporting Leading Scientific Schools (Grant No. NSh-1500.2014.2) and the Russian Foundation for Basic Research (Grant Nos. 13-02-00457 and 14-02-31372-mol_a).
Received: 09.11.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 2, Pages 1574–1591
DOI: https://doi.org/10.1134/S0040577916110040
Bibliographic databases:
PACS: 11.25.Hf
MSC: 17B68, 81R10
Language: Russian
Citation: N. A. Nemkov, “Fusion transformations in Liouville theory”, TMF, 189:2 (2016), 198–218; Theoret. and Math. Phys., 189:2 (2016), 1574–1591
Citation in format AMSBIB
\Bibitem{Nem16}
\by N.~A.~Nemkov
\paper Fusion transformations in Liouville theory
\jour TMF
\yr 2016
\vol 189
\issue 2
\pages 198--218
\mathnet{http://mi.mathnet.ru/tmf9137}
\crossref{https://doi.org/10.4213/tmf9137}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589030}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016TMP...189.1574N}
\elib{https://elibrary.ru/item.asp?id=27485052}
\transl
\jour Theoret. and Math. Phys.
\yr 2016
\vol 189
\issue 2
\pages 1574--1591
\crossref{https://doi.org/10.1134/S0040577916110040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000389995500004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85002920959}
Linking options:
  • https://www.mathnet.ru/eng/tmf9137
  • https://doi.org/10.4213/tmf9137
  • https://www.mathnet.ru/eng/tmf/v189/i2/p198
    • This publication is cited in the following 6 articles:
    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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024