메뉴 건너뛰기




Volumn 65, Issue 3, 2010, Pages 607-614

Non-relativistic conformal symmetries in fluid mechanics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77349085519     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-009-1221-x     Document Type: Article
Times cited : (80)

References (49)
  • 2
    • 70350031090 scopus 로고    scopus 로고
    • Galilean conformal algebras and AdS/CFT
    • 037arXiv:0902.1385 [hep-th]
    • A. Bagchi, R. Gopakumar, Galilean conformal algebras and AdS/CFT. J. High Energy Phys. 0907, 037 (2009). arXiv: 0902. 1385 [hep-th].
    • (2009) J. High Energy Phys. , vol.907
    • Bagchi, A.1    Gopakumar, R.2
  • 3
    • 49249119088 scopus 로고    scopus 로고
    • Gravity duals for non-relativistic CFTs
    • K. Balasubramanian, J. McGreevy, Gravity duals for non-relativistic CFTs. Phys. Rev. Lett. 101, 061601 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 061601
    • Balasubramanian, K.1    McGreevy, J.2
  • 4
    • 58149279612 scopus 로고    scopus 로고
    • On the spectrum of nonrelativistic AdS/CFT
    • J. L. B. Barbon, C. A. Fuertes, On the spectrum of nonrelativistic AdS/CFT. J. High Energy Phys. 0809, 030 (2008).
    • (2008) J. High Energy Phys. , vol.809 , pp. 030
    • Barbon, J.L.B.1    Fuertes, C.A.2
  • 5
    • 0000927305 scopus 로고
    • Conformal group → Schrödinger group → dynamical group-the maximal kinematical group of the massive Schrödinger particle
    • A. O. Barut, Conformal group → Schrödinger group → dynamical group-the maximal kinematical group of the massive Schrödinger particle. Helv. Phys. Acta 46, 496 (1973).
    • (1973) Helv. Phys. Acta , vol.46 , pp. 496
    • Barut, A.O.1
  • 6
    • 70350003566 scopus 로고    scopus 로고
    • The incompressible non-relativistic Navier-Stokes equation from gravity
    • 059arXiv:0810.1545 [hep-th]
    • S. Bhattacharyya, S. Minwalla, S. R. Wadia, The incompressible non-relativistic Navier-Stokes equation from gravity. J. High Energy Phys. 0908, 059 (2009). arXiv: 0810. 1545 [hep-th].
    • (2009) J. High Energy Phys. , vol.908
    • Bhattacharyya, S.1    Minwalla, S.2    Wadia, S.R.3
  • 7
    • 0010857684 scopus 로고
    • About the non-relativistic structure of the conformal algebra
    • G. Burdet, M. Perrin, P. Sorba, About the non-relativistic structure of the conformal algebra. Commun. Math. Phys. 34, 85 (1973).
    • (1973) Commun. Math. Phys. , vol.34 , pp. 85
    • Burdet, G.1    Perrin, M.2    Sorba, P.3
  • 9
    • 77349098066 scopus 로고
    • Quelques procédures géométriques en dynamique des particules
    • unpublished
    • C. Duval, Quelques procédures géométriques en dynamique des particules. Thèse d'Etat, unpublished (1982).
    • (1982) Thèse d'Etat
    • Duval, C.1
  • 10
    • 33846883653 scopus 로고
    • Nonrelativistic conformal symmetries and Bargmann structures
    • Clausthal, 1985, Lecture Notes in Physics, A. O. Barut and H. D. Doebner (Eds.), Berlin: Springer
    • C. Duval, Nonrelativistic conformal symmetries and Bargmann structures, in Conformal Groups and Related Symmetries. Physical Results and Mathematical Background, Clausthal, 1985, ed. by A. O. Barut, H. D. Doebner. Lecture Notes in Physics, vol. 261 (Springer, Berlin, 1986), p. 162.
    • (1986) Conformal Groups and Related Symmetries. Physical Results and Mathematical Background , vol.261 , pp. 162
    • Duval, C.1
  • 11
    • 0037038448 scopus 로고    scopus 로고
    • Spin and exotic Galilean symmetry
    • hep-th/0209166
    • C. Duval, P. A. Horváthy, Spin and exotic Galilean symmetry. Phys. Lett. B 547, 306 (2002). hep-th/0209166.
    • (2002) Phys. Lett. B , vol.547 , pp. 306
    • Duval, C.1    Horváthy, P.A.2
  • 12
    • 72449192408 scopus 로고    scopus 로고
    • Non-relativistic conformal symmetries and Newton-Cartan structures
    • arXiv:0904.0531
    • C. Duval, P. A. Horvathy, Non-relativistic conformal symmetries and Newton-Cartan structures. J. Phys. A 42, 465206 (2009). arXiv: 0904. 0531.
    • (2009) J. Phys. A , vol.42 , pp. 465206
    • Duval, C.1    Horvathy, P.A.2
  • 14
    • 0000355009 scopus 로고
    • Celestial mechanics, conformal structures and gravitational waves
    • C. Duval, G. W. Gibbons, P. A. Horváthy, Celestial mechanics, conformal structures and gravitational waves. Phys. Rev. D 43, 3907 (1991).
    • (1991) Phys. Rev. D , vol.43 , pp. 3907
    • Duval, C.1    Gibbons, G.W.2    Horváthy, P.A.3
  • 15
    • 0040598015 scopus 로고
    • Conformal properties of Chern-Simons vortices in external fields
    • hep-ph/9405229
    • C. Duval, P. A. Horvathy, L. Palla, Conformal properties of Chern-Simons vortices in external fields. Phys. Rev. D 50, 6658 (1994). hep-ph/9405229.
    • (1994) Phys. Rev. D , vol.50 , pp. 6658
    • Duval, C.1    Horvathy, P.A.2    Palla, L.3
  • 16
    • 62949216502 scopus 로고    scopus 로고
    • The geometry of Schrödinger symmetry in non-relativistic CFT
    • (N.Y.)
    • C. Duval, M. Hassaïne, P. A. Horváthy, The geometry of Schrödinger symmetry in non-relativistic CFT. Ann. Phys. (N. Y.) 324, 1158 (2009).
    • (2009) Ann. Phys. , vol.324 , pp. 1158
    • Duval, C.1    Hassaïne, M.2    Horváthy, P.A.3
  • 17
    • 58149481708 scopus 로고    scopus 로고
    • Conformal field theory as microscopic dynamics of incompressible Euler and Navier-Stokes equations
    • 261602arXiv:0809.4512 [hep-th]
    • I. Fouxon, Y. Oz, Conformal field theory as microscopic dynamics of incompressible Euler and Navier-Stokes equations. Phys. Rev. Lett. 101, 261602 (2008). arXiv: 0809. 4512 [hep-th].
    • (2008) Phys. Rev. Lett. , vol.101
    • Fouxon, I.1    Oz, Y.2
  • 18
    • 67650255041 scopus 로고    scopus 로고
    • CFT hydrodynamics symmetries, exact solutions and gravity
    • I. Fouxon, Y. Oz, CFT hydrodynamics symmetries, exact solutions and gravity. J. High Energy Phys. 0903, 120 (2009).
    • (2009) J. High Energy Phys. , vol.903 , pp. 120
    • Fouxon, I.1    Oz, Y.2
  • 19
    • 54249167627 scopus 로고    scopus 로고
    • Remark on quantum mechanics with conformal Galilean symmetry
    • A. V. Galajinsky, Remark on quantum mechanics with conformal Galilean symmetry. Phys. Rev. D 78, 087701 (2008).
    • (2008) Phys. Rev. D , vol.78 , pp. 087701
    • Galajinsky, A.V.1
  • 20
    • 66749164640 scopus 로고    scopus 로고
    • AdS/CFT duality for non-relativistic field theory
    • W. D. Goldberger, AdS/CFT duality for non-relativistic field theory. J. High Energy Phys. 0903, 069 (2009).
    • (2009) J. High Energy Phys. , vol.903 , pp. 069
    • Goldberger, W.D.1
  • 21
    • 0000972831 scopus 로고
    • Scale and conformal transformations in Galilean-covariant field theory
    • C. R. Hagen, Scale and conformal transformations in Galilean-covariant field theory. Phys. Rev. D 5, 377 (1972).
    • (1972) Phys. Rev. D , vol.5 , pp. 377
    • Hagen, C.R.1
  • 22
    • 0037572848 scopus 로고    scopus 로고
    • Field-dependent symmetries of a non-relativistic fluid model
    • math-ph/9904022, (N.Y.)
    • M. Hassaïne, P. Horvathy, Field-dependent symmetries of a non-relativistic fluid model. Ann. Phys. (N. Y.) 282, 218 (2000). math-ph/9904022.
    • (2000) Ann. Phys. , vol.282 , pp. 218
    • Hassaïne, M.1    Horvathy, P.2
  • 23
    • 0035966665 scopus 로고    scopus 로고
    • Symmetries of fluid dynamics with polytropic exponent
    • hep-th/0009092
    • M. Hassaïne, P. Horvathy, Symmetries of fluid dynamics with polytropic exponent. Phys. Lett. A 279, 215 (2001). hep-th/0009092.
    • (2001) Phys. Lett. A , vol.279 , pp. 215
    • Hassaïne, M.1    Horvathy, P.2
  • 24
    • 36749114771 scopus 로고
    • Conformal extensions of the Galilei group and their relation to the Schrödinger group
    • P. Havas, J. Plebański, Conformal extensions of the Galilei group and their relation to the Schrödinger group. J. Math. Phys. 19, 482 (1978).
    • (1978) J. Math. Phys. , vol.19 , pp. 482
    • Havas, P.1    Plebański, J.2
  • 25
    • 21344498063 scopus 로고
    • Schrödinger invariance and strongly anisotropic critical systems
    • M. Henkel, Schrödinger invariance and strongly anisotropic critical systems. J. Stat. Phys. 75, 1023 (1994).
    • (1994) J. Stat. Phys. , vol.75 , pp. 1023
    • Henkel, M.1
  • 26
    • 0000416580 scopus 로고    scopus 로고
    • Local scale invariance and strongly anisotropic equilibrium critical systems
    • M. Henkel, Local scale invariance and strongly anisotropic equilibrium critical systems. Phys Rev. Lett. 78, 1940 (1997).
    • (1997) Phys Rev. Lett. , vol.78 , pp. 1940
    • Henkel, M.1
  • 27
    • 0037078259 scopus 로고    scopus 로고
    • Phenomenology of local scale invariance: From conformal invariance to dynamical scaling
    • M. Henkel, Phenomenology of local scale invariance: from conformal invariance to dynamical scaling. Nucl. Phys. B 641, 405 (2002).
    • (2002) Nucl. Phys. B , vol.641 , pp. 405
    • Henkel, M.1
  • 28
    • 0037797200 scopus 로고    scopus 로고
    • Schroedinger invariance and space-time symmetries
    • arXiv:hep-th/0302187
    • M. Henkel, J. Unterberger, Schroedinger invariance and space-time symmetries. Nucl. Phys. B 660, 407 (2003). arXiv: hep-th/0302187.
    • (2003) Nucl. Phys. B , vol.660 , pp. 407
    • Henkel, M.1    Unterberger, J.2
  • 29
    • 70349780785 scopus 로고    scopus 로고
    • Vortices in (abelian) Chern-Simons gauge theory
    • Sects. 4.3 and 6.2. arXiv:0811.2094 [hep-th]
    • P. A. Horvathy, P. Zhang, Vortices in (abelian) Chern-Simons gauge theory. Phys. Rep. 481, 83 (2009). Sects. 4.3 and 6.2. arXiv: 0811. 2094 [hep-th].
    • (2009) Phys. Rep. , vol.481 , pp. 83
    • Horvathy, P.A.1    Zhang, P.2
  • 31
    • 84953647229 scopus 로고
    • Introducing scaling symmetry
    • R. Jackiw, Introducing scaling symmetry. Phys. Today 25, 23 (1972).
    • (1972) Phys. Today , vol.25 , pp. 23
    • Jackiw, R.1
  • 32
    • 0012262288 scopus 로고    scopus 로고
    • CRM Series in Mathematical Physics, Berlin: Springer
    • R. Jackiw, Lectures on Fluid Dynamics. CRM Series in Mathematical Physics (Springer, Berlin, 2002).
    • (2002) Lectures on Fluid Dynamics
    • Jackiw, R.1
  • 33
    • 0034603917 scopus 로고    scopus 로고
    • Anyon spin and the exotic central extension of the planar Galilei group
    • hep-th/0003130
    • R. Jackiw, V. P. Nair, Anyon spin and the exotic central extension of the planar Galilei group. Phys. Lett. B 480, 237 (2000). hep-th/0003130.
    • (2000) Phys. Lett. B , vol.480 , pp. 237
    • Jackiw, R.1    Nair, V.P.2
  • 34
    • 8344248477 scopus 로고    scopus 로고
    • Perfect fluid theory and its extensions
    • arXiv:hep-ph/0407101
    • R. Jackiw, V. P. Nair, S. Y. Pi, A. P. Polychronakos, Perfect fluid theory and its extensions. J. Phys. A 37, R327 (2004). arXiv: hep-ph/0407101.
    • (2004) J. Phys. A , vol.37
    • Jackiw, R.1    Nair, V.P.2    Pi, S.Y.3    Polychronakos, A.P.4
  • 36
    • 0141873044 scopus 로고    scopus 로고
    • Conformal symmetry of relativistic and nonrelativistic systems and AdS/CFT correspondence
    • (N.Y.)
    • C. Leiva, M. S. Plyushchay, Conformal symmetry of relativistic and nonrelativistic systems and AdS/CFT correspondence. Ann. Phys. (N. Y.) 307, 372 (2003).
    • (2003) Ann. Phys. , vol.307 , pp. 372
    • Leiva, C.1    Plyushchay, M.S.2
  • 37
    • 33745662115 scopus 로고    scopus 로고
    • Exotic Galilean conformal symmetry and its dynamical realizations
    • arXiv:hep-th/0511259
    • J. Lukierski, P. C. Stichel, W. J. Zakrzewski, Exotic Galilean conformal symmetry and its dynamical realizations. Phys. Lett. A 357, 1 (2006). arXiv: hep-th/0511259.
    • (2006) Phys. Lett. A , vol.357 , pp. 1
    • Lukierski, J.1    Stichel, P.C.2    Zakrzewski, W.J.3
  • 38
    • 34250210751 scopus 로고    scopus 로고
    • Acceleration-extended Galilean symmetries with central charges and their dynamical realizations
    • arXiv:hep-th/0702179
    • J. Lukierski, P. C. Stichel, W. J. Zakrzewski, Acceleration-extended Galilean symmetries with central charges and their dynamical realizations. Phys. Lett. B 650, 203 (2007). arXiv: hep-th/0702179.
    • (2007) Phys. Lett. B , vol.650 , pp. 203
    • Lukierski, J.1    Stichel, P.C.2    Zakrzewski, W.J.3
  • 40
    • 58149296367 scopus 로고    scopus 로고
    • Comments on string theory backgrounds with non-relativistic conformal symmetry
    • J. Maldacena, D. Martelli, Y. Tachikawa, Comments on string theory backgrounds with non-relativistic conformal symmetry. J. High Energy Phys. 0810, 072 (2008).
    • (2008) J. igh Energy Phys. , vol.810 , pp. 072
    • Maldacena, J.1    Martelli, D.2    Tachikawa, Y.3
  • 41
    • 48749149748 scopus 로고
    • Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids
    • J. Marsden, A. Weinstein, Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Physica D 7, 305 (1983).
    • (1983) Physica D , vol.7 , pp. 305
    • Marsden, J.1    Weinstein, A.2
  • 43
    • 0032364496 scopus 로고    scopus 로고
    • Hamiltonian description of an ideal fluid
    • P. J. Morrison, Hamiltonian description of an ideal fluid. Rev. Mod. Phys. 70, 467 (1998).
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 467
    • Morrison, P.J.1
  • 46
    • 0001586451 scopus 로고
    • The maximal kinematical symmetry group of the free Schrödinger equation
    • U. Niederer, The maximal kinematical symmetry group of the free Schrödinger equation. Helv. Phys. Acta 45, 802 (1972).
    • (1972) Helv. Phys. Acta , vol.45 , pp. 802
    • Niederer, U.1
  • 47
    • 0035507818 scopus 로고    scopus 로고
    • The maximal kinematical invariance group of fluid dynamics and explosion-implosion duality
    • L. O'Raifeartaigh, V. V. Sreedhar, The maximal kinematical invariance group of fluid dynamics and explosion-implosion duality. Ann. Phys. 293, 215 (2001).
    • (2001) Ann. Phys. , vol.293 , pp. 215
    • O'Raifeartaigh, L.1    Sreedhar, V.V.2
  • 48
    • 49349115796 scopus 로고    scopus 로고
    • Toward and AdS/cold atom correspondence: A geometric realization of the Schrödinger symmetry
    • D. T. Son, Toward and AdS/cold atom correspondence: a geometric realization of the Schrödinger symmetry. Phys. Rev. D 78, 046003 (2008).
    • (2008) Phys. Rev. D , vol.78 , pp. 046003
    • Son, D.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.