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Volumn 246, Issue 1, 2004, Pages 181-210

Rational Conformal Field Theories and Complex Multiplication

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EID: 1842434292     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-1032-0     Document Type: Article
Times cited : (65)

References (48)
  • 1
    • 0001105979 scopus 로고
    • Conformal Invariance, Unitarity, and Two-Dimensional Critical Exponents
    • Friedan, D., Qiu, Z., Shenker, S.: Conformal Invariance, Unitarity, and Two-Dimensional Critical Exponents. Phys. Rev. Lett. 52, 1575 (1984)
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1575
    • Friedan, D.1    Qiu, Z.2    Shenker, S.3
  • 2
    • 0010882054 scopus 로고
    • Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
    • Belavin, A.A., Polyakov, A.M., Zamolodchikov, A.B.: Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory. Nucl. Phys. B241, 333 (1984)
    • (1984) Nucl. Phys. , vol.B241 , pp. 333
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 3
    • 45549111952 scopus 로고
    • Fusion Rules and Modular Transformations in 2D Conformal Field Theory
    • Verlinde, E.: Fusion Rules and Modular Transformations in 2D Conformal Field Theory. Nucl. Phys. B300, 360 (1988)
    • (1988) Nucl. Phys. , vol.B300 , pp. 360
    • Verlinde, E.1
  • 4
    • 0010798477 scopus 로고
    • Polynomial Equations for Rational Conformal Field Theories
    • Moore, G., Seiberg, N.: Polynomial Equations for Rational Conformal Field Theories. Phys. Lett. B212, 451 (1988); Classical and Quantum Conformal Field Theory. Commun. Math. Phys. 123, 177 (1989); Taming the Conformal Zoo. Phys. Lett. 220, 422 (1989)
    • (1988) Phys. Lett. , vol.B212 , pp. 451
    • Moore, G.1    Seiberg, N.2
  • 5
    • 0346763470 scopus 로고
    • Classical Quantum Conformal Field Theory
    • Moore, G., Seiberg, N.: Polynomial Equations for Rational Conformal Field Theories. Phys. Lett. B212, 451 (1988); Classical and Quantum Conformal Field Theory. Commun. Math. Phys. 123, 177 (1989); Taming the Conformal Zoo. Phys. Lett. 220, 422 (1989)
    • (1989) Commun. Math. Phys. , vol.123 , pp. 177
  • 6
    • 10644250740 scopus 로고
    • Taming the Conformal Zoo
    • Moore, G., Seiberg, N.: Polynomial Equations for Rational Conformal Field Theories. Phys. Lett. B212, 451 (1988); Classical and Quantum Conformal Field Theory. Commun. Math. Phys. 123, 177 (1989); Taming the Conformal Zoo. Phys. Lett. 220, 422 (1989)
    • (1989) Phys. Lett. , vol.220 , pp. 422
  • 7
    • 24544453124 scopus 로고
    • Boundary Conditions, Fusion Rules and the Verlinde Formula
    • Cardy, J.L.: Boundary Conditions, Fusion Rules and the Verlinde Formula. Nucl. Phys. B 324, 581 (1989)
    • (1989) Nucl. Phys. B , vol.324 , pp. 581
    • Cardy, J.L.1
  • 8
    • 0000188592 scopus 로고
    • The Boundary And Crosscap States In Conformal Field Theories
    • Ishibashi, N.: The Boundary And Crosscap States In Conformal Field Theories. Mod. Phys. Lett. A4, 161 (1989)
    • (1989) Mod. Phys. Lett. , vol.A4 , pp. 161
    • Ishibashi, N.1
  • 10
    • 0000223382 scopus 로고
    • A note on Shimura's paper Discontinuous Groups and Abelian Varieties
    • Mumford, D.: A note on Shimura's paper Discontinuous Groups and Abelian Varieties. Math. Ann. 181, 345 (1969)
    • (1969) Math. Ann. , vol.181 , pp. 345
    • Mumford, D.1
  • 12
    • 0242342046 scopus 로고
    • Calabi-Yau Threefolds and Complex Multiplication
    • S.-T. Yau, (ed.), Cambridge, MA: International Press
    • Borcea, C.: Calabi-Yau Threefolds and Complex Multiplication. In: Essays on Mirror Manifolds, S.-T. Yau, (ed.), Cambridge, MA: International Press, 1992
    • (1992) Essays on Mirror Manifolds
    • Borcea, C.1
  • 13
    • 0030530472 scopus 로고    scopus 로고
    • Arithmetic Properties of Mirror Map and Quantum Coupling
    • Lian, B.H., Yau, S.-T.: Arithmetic Properties of Mirror Map and Quantum Coupling. Commun. Math. Phys. 176, 163 (1996)
    • (1996) Commun. Math. Phys. , vol.176 , pp. 163
    • Lian, B.H.1    Yau, S.-T.2
  • 18
    • 1842437687 scopus 로고    scopus 로고
    • Kachru, S., Schulz, M., Trivedi, S.: Moduli Stabilization from Fluxes in a Simple IIB Orientifold. hep-th/0201028; see also a talk of S. Kachru at Strings 2002 Conference, http://www.dam-tp.cam.ac.uk/strings02/avt/kachru
    • Strings 2002 Conference
    • Kachru, S.1
  • 20
    • 0032511716 scopus 로고    scopus 로고
    • Branes: From free fields to general backgrounds
    • [arXiv:hep-th/9712257]
    • Fuchs, J., Schweigert, C.: Branes: From free fields to general backgrounds. Nucl. Phys. B 530, 99 (1998) [arXiv:hep-th/9712257]
    • (1998) Nucl. Phys. B , vol.530 , pp. 99
    • Fuchs, J.1    Schweigert, C.2
  • 21
    • 33744750556 scopus 로고    scopus 로고
    • Geometrical interpretation of D-branes in gauged WZW models
    • Maldacena, J., Moore, G., Seiberg, N.: Geometrical interpretation of D-branes in gauged WZW models. JHEP 0107, 046 (2001)
    • (2001) JHEP , vol.107 , Issue.46
    • Maldacena, J.1    Moore, G.2    Seiberg, N.3
  • 22
    • 1842594428 scopus 로고    scopus 로고
    • Boundary States of c = 1 and c = 3/2 Rational Conformal Field Theories
    • hep-th/0201173
    • Cappelli, A., D'Appollonio, G.: Boundary States of c = 1 and c = 3/2 Rational Conformal Field Theories. JHEP 0202, 039 (2002) hep-th/0201173
    • (2002) JHEP , vol.202 , Issue.39
    • Cappelli, A.1    D'Appollonio, G.2
  • 23
    • 33744731473 scopus 로고    scopus 로고
    • Conformal boundary states for free bosons and fermions
    • [arXiv:hep-th/0108238]
    • Gaberdiel, M.R., Recknagel, A.: Conformal boundary states for free bosons and fermions. JHEP 0111, 016 (2001) [arXiv:hep-th/0108238]
    • (2001) JHEP , vol.111 , Issue.16
    • Gaberdiel, M.R.1    Recknagel, A.2
  • 25
    • 16144366365 scopus 로고    scopus 로고
    • D-Branes on Calabi-Yau Spaces and Their Mirrors
    • Ooguri, H., Oz, Y., Yin, Z.: D-Branes on Calabi-Yau Spaces and Their Mirrors. Nucl. Phys. B477, 407 (1996)
    • (1996) Nucl. Phys. , vol.B477 , pp. 407
    • Ooguri, H.1    Oz, Y.2    Yin, Z.3
  • 27
    • 0000832445 scopus 로고    scopus 로고
    • D-branes in Gepner models
    • [arXiv:hep-th/9712186]
    • Recknagel, A., Schomerus, V.: D-branes in Gepner models. Nucl. Phys. B 531, 185 (1998) [arXiv:hep-th/9712186]
    • (1998) Nucl. Phys. B , vol.531 , pp. 185
    • Recknagel, A.1    Schomerus, V.2
  • 28
    • 0033594061 scopus 로고    scopus 로고
    • D-branes in Gepner models and supersymmetry
    • [arXiv:hep-th/9808080]
    • Gutperle, M., Satoh, Y.: D-branes in Gepner models and supersymmetry. Nucl. Phys. B 543, 73 (1999) [arXiv:hep-th/9808080]
    • (1999) Nucl. Phys. B , vol.543 , Issue.73
    • Gutperle, M.1    Satoh, Y.2
  • 29
    • 0001277558 scopus 로고
    • Quantum Symmetries of String Vacua
    • Vafa, C.: Quantum Symmetries of String Vacua. Mod. Phys. Lett. A4, 1615 (1989)
    • (1989) Mod. Phys. Lett. , vol.A4 , pp. 1615
    • Vafa, C.1
  • 30
    • 0035904134 scopus 로고    scopus 로고
    • Wound D-Branes in Gepner Models
    • Mizoguchi, S., Tani, T.: Wound D-Branes in Gepner Models. Nucl. Phys. B611, 253 (2001)
    • (2001) Nucl. Phys. , vol.B611 , pp. 253
    • Mizoguchi, S.1    Tani, T.2
  • 33
    • 0010647755 scopus 로고
    • Berlin-Heidelberg-New York: Springer-Verlag
    • Lang, S., (ed.): Number Theory III. Berlin-Heidelberg-New York: Springer-Verlag, 1991
    • (1991) Number Theory III
    • Lang, S.1
  • 36
    • 33646888988 scopus 로고
    • Integral symmetric bilinear forms and some of their Applications
    • Nikulin, V.: Integral symmetric bilinear forms and some of their Applications. Math. Izv. 14, 103 (1980)
    • (1980) Math. Izv. , vol.14 , pp. 103
    • Nikulin, V.1
  • 37
    • 4244118453 scopus 로고
    • Integral quadratic forms: Applications to algebraic geometry
    • Dolgachev, I.: Integral quadratic forms: Applications to algebraic geometry. Sem. Bourbaki 611, 251 (1982)
    • (1982) Sem. Bourbaki , vol.611 , pp. 251
    • Dolgachev, I.1
  • 39
    • 0007222485 scopus 로고
    • G-functions and Geometry
    • Braunshweig: Vieweg
    • André, Y.: G-functions and Geometry. Aspects of Mathematics, Vol. E13, Braunshweig: Vieweg, 1989; André, Y.: Distribution des points CM sur les sous-variétés de modules de variétés abéliennes, 1997
    • (1989) Aspects of Mathematics , vol.E13
    • André, Y.1
  • 41
    • 0042552303 scopus 로고    scopus 로고
    • Canonical Lifts and Dense Sets of CM-points. Arithmetic Geometry
    • Proc. Cortona Symposium 1994, F. Catanese, (ed.), Cambridge: Cambridge Univ. Press
    • Oort, F.: Canonical Lifts and Dense Sets of CM-points. Arithmetic Geometry. Proc. Cortona Symposium 1994, F. Catanese, (ed.), Symposia Math., Vol. XXXVII, Cambridge: Cambridge Univ. Press, 1997, p. 228
    • (1997) Symposia Math. , vol.37 , pp. 228
    • Oort, F.1
  • 42
    • 0001984871 scopus 로고
    • What is known about the Hodge conjecture?
    • Algebraic Varieties and Analytic Varieties
    • Shioda, T.: What is known about the Hodge conjecture? In: Algebraic Varieties and Analytic Varieties. Adv. Studies Pure Math 1, 55 (1983); Shioda, T.: Geometry of Fermat Varieties. In: Number Theory Related to Fermat's Last Theorem, Progress in Math. 26, 45 (1982)
    • (1983) Adv. Studies Pure Math , vol.1 , pp. 55
    • Shioda, T.1
  • 43
    • 1842437654 scopus 로고
    • Geometry of Fermat Varieties
    • Number Theory Related to Fermat's Last Theorem
    • Shioda, T.: What is known about the Hodge conjecture? In: Algebraic Varieties and Analytic Varieties. Adv. Studies Pure Math 1, 55 (1983); Shioda, T.: Geometry of Fermat Varieties. In: Number Theory Related to Fermat's Last Theorem, Progress in Math. 26, 45 (1982)
    • (1982) Progress in Math. , vol.26 , pp. 45
    • Shioda, T.1
  • 44
    • 0041089449 scopus 로고    scopus 로고
    • Local Behavior of Hodge Structures at Infinity
    • Deligne, P.: Local Behavior of Hodge Structures at Infinity. AMS/IP Studies Adv. Math. 1, 683 (1997)
    • (1997) AMS/IP Studies Adv. Math. , vol.1 , pp. 683
    • Deligne, P.1
  • 45
    • 0003050218 scopus 로고
    • Hodge Cycles on Abelian Varieties
    • Notes by Milne, J.
    • Deligne, P. (Notes by Milne, J.): Hodge Cycles on Abelian Varieties. Lecture Notes in Math 900, 9 (1982)
    • (1982) Lecture Notes in Math , vol.900 , pp. 9
    • Deligne, P.1
  • 46
    • 0000972169 scopus 로고
    • Torsion Points on Curves
    • Galois representations and arithmetic algebraic geometry, Y. Ihara, ed.
    • Coleman, R.: Torsion Points on Curves. In Galois representations and arithmetic algebraic geometry, Y. Ihara, ed., Adv. Studies Pure Math. 12, 235 (1987)
    • (1987) Adv. Studies Pure Math. , vol.12 , pp. 235
    • Coleman, R.1
  • 47
    • 0042051434 scopus 로고
    • Jacobians with Complex Multiplication
    • G. van der Geer, F. Oort, J. Steenbrink, (eds.), Basel-Boston: Birkhäuser
    • de Jong, J., Noot, R.: Jacobians with Complex Multiplication. In: Arithmetic Algebraic Geometry, G. van der Geer, F. Oort, J. Steenbrink, (eds.), Basel-Boston: Birkhäuser, 1991
    • (1991) Arithmetic Algebraic Geometry
    • De Jong, J.1    Noot, R.2


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