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, 2009, Volume 161, Number 3, Pages 367–381
DOI: https://doi.org/10.4213/tmf6447 (Mi tmf6447) 		 
The WDVV symmetries in two-primary models

Yu-Tung Chena, Niann-Chern Leeb, Ming-Hsien Tuca

a Department of Computer Science, National Defense University, Tauyuan, Taiwan
b General Education Center, National Chin-Yi University of Technology, Taichung, Taiwan
c Department of Physics, National Chung Cheng University, Chiayi, Taiwan
Full-text PDF (494 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6447
Abstract: From the bi-Hamiltonian standpoint, we investigate symmetries of Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations proposed by Dubrovin. These symmetries can be viewed as canonical Miura transformations between genus-zero bi-Hamiltonian systems of hydrodynamic type. In particular, we show that the moduli space of two-primary models under symmetries of the WDVV equations can be parameterized by the polytropic exponent $h$. We discuss the transformation properties of the free energy at the genus-one level.
Keywords: Frobenius manifold, WDVV equation, bi-Hamiltonian structure, primary free energy, dToda hierarchy, Benney hierarchy, dDym hierarchy, polytropic gas dynamics.
Received: 09.03.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 3, Pages 1634–1646
DOI: https://doi.org/10.1007/s11232-009-0151-y
Bibliographic databases:
Language: Russian
Citation: Yu-Tung Chen, Niann-Chern Lee, Ming-Hsien Tu, “The WDVV symmetries in two-primary models”, TMF, 161:3 (2009), 367–381; Theoret. and Math. Phys., 161:3 (2009), 1634–1646
Citation in format AMSBIB
\Bibitem{CheLeeTu09}
\by Yu-Tung~Chen, Niann-Chern~Lee, Ming-Hsien~Tu
\paper The~WDVV symmetries in two-primary models
\jour TMF
\yr 2009
\vol 161
\issue 3
\pages 367--381
\mathnet{http://mi.mathnet.ru/tmf6447}
\crossref{https://doi.org/10.4213/tmf6447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2642196}
\zmath{https://zbmath.org/?q=an:05682057}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...161.1634C}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 161
\issue 3
\pages 1634--1646
\crossref{https://doi.org/10.1007/s11232-009-0151-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000273561600006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76649092336}
Linking options:
  • https://www.mathnet.ru/eng/tmf6447
  • https://doi.org/10.4213/tmf6447
  • https://www.mathnet.ru/eng/tmf/v161/i3/p367
    • 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