用户名: 密码: 验证码:
Zero modes for the quantum Liouville model
详细信息    查看全文
  • 作者:L. D. Faddeev (1)
  • 关键词:Liouville model ; zero modes ; conformal field theory ; quantum dilogarithm
  • 刊名:Functional Analysis and Its Applications
  • 出版年:2014
  • 出版时间:September 2014
  • 年:2014
  • 卷:48
  • 期:3
  • 页码:166-174
  • 全文大小:151 KB
  • 参考文献:1. J.-L. Gervais and J. Schnittger, 鈥淭he many faces of the quantum Liouville exponentials,鈥?Nuclear Phys. B, 413 (1994), 433鈥?57; http://arxiv.org/abs/hep-th/9308134. CrossRef
    2. J. Teschner, 鈥淎 lecture on the Liouville vertex operators,鈥?Internat. J. Modern. Phys. A, 19 (2004), May, suppl., 436鈥?58; http://arxiv.org/abs/hep-th/0303150. CrossRef
    3. O. Babelon, 鈥淯niversal exchange algebra for Bloch waves and Liouville theory,鈥?Comm. Math. Phys., 139:3 (1991), 619鈥?43. CrossRef
    4. L. D. Faddeev and A. Y. Volkov, 鈥淒iscrete evolution for the zero-modes of the quantum Liouville model,鈥?J. Phys. A, 41 (2008), no. 19, 194008; http://arxiv.org/abs/0803.0230. CrossRef
    5. L. D. Faddeev and L. A. Takhtajan, 鈥淟iouville model on the lattice,鈥?in: Lecture Notes in Phys., vol. 246, Springer-Verlag, Berlin, 1986, 166鈥?79.
    6. V. G. Drinfeld, 鈥淗opf algebras and the quantum Yang-Baxter equation,鈥?Dokl. Akad. Nauk SSSR, 283:5 (1985), 1060鈥?064; English transl.: Soviet Math. Dokl., 32: 1 (1985), 254鈥?58.
    7. L. D. Faddeev, N. Y. Reshetikhin, and L. A. Takhtajan, 鈥淨uantization of Lie groups and Lie algebras,鈥?Algebra Analiz, 1:1 (1989), 178鈥?06; English transl.: Leningrad Math. J., 1:1 (1990), 193鈥?25.
    8. R. M. Kashaev, On the Spectrum of Dehn Twists in Quantum Teichmuller Theory, http://arxiv.org/abs/math/0008148.
    9. V. V. Fock and L. Chekhov, 鈥淎 quantum Teichm眉ller space,鈥?Teoret. Mat. Fiz., 120:3 (1999), 511鈥?28; English transl.: Theoret. Math. Phys., 120:3 (1999), 1245鈥?259; http://arxiv.org/abs/math/9908165. CrossRef
    10. S. E. Derkachov and L. D. Faddeev, 3j-Symbol for the Modular Double of / SL q(2, / R) Revisited, http://arxiv.org/abs/1302.5400.
    11. R. M. Kashaev, 鈥淭he quantum dilogarithm and Dehn twists in quantum Teichmuller theory,鈥?in: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory (Kiev, 2000), NATO Sci. Ser. II Math. Phys. Chem., vol. 35, Kluwer Acad. Publ., Dordrecht, 2001, 211鈥?21. CrossRef
    12. L. D. Faddeev, 鈥淒iscrete Heisenberg-Weyl group and modular group,鈥?Lett. Math. Phys., 34:3 (1995), 249鈥?54; http://arxiv.org/abs/hep-th/9504111. CrossRef
    13. A. Y. Volkov, 鈥淣oncommutative hypergeometry,鈥?Comm. Math. Phys., 258:2 (2005), 257鈥?73; http://arxiv.org/abs/math/0312084. CrossRef
    14. A. B. Zamolodchikov and A. B. Zamolodchikov, 鈥淐onformal bootstrap in Liouville field theory,鈥?Nuclear Phys. B, 477:2 (1996), 577鈥?05; http://arxiv.org/abs/hep-th/9506136. CrossRef
    15. G. Jorjadze and G. Weigt, Zero Mode Problem of Liouville Field Theory, http://arxiv.org/abs/hep-th/0207041.
  • 作者单位:L. D. Faddeev (1)

    1. St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg State University, St. Petersburg, Russia
  • ISSN:1573-8485
文摘
The problem of identification of zero modes for the quantum Liouville model is discussed and the corresponding Hilbert space representation is constructed.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700