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Volumn 5, Issue 3, 2001, Pages 429-456

Consistency of orbifold conformal field theories on K3

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EID: 0347148534     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2001.v5.n3.a1     Document Type: Article
Times cited : (28)

References (46)
  • 2
    • 0001350360 scopus 로고
    • On isolated rational singularities of surfaces
    • M. Artin, On isolated rational singularities of surfaces, Amer. J. Math. 88 (1966), 129-136.
    • (1966) Amer. J. Math. , vol.88 , pp. 129-136
    • Artin, M.1
  • 3
    • 0007390387 scopus 로고
    • Reflexive modules over rational double points
    • M. Artin and J.-L. Verdier, Reflexive modules over rational double points, Math. Ann. 270 (1985), 79-82.
    • (1985) Math. Ann. , vol.270 , pp. 79-82
    • Artin, M.1    Verdier, J.-L.2
  • 5
    • 0001176839 scopus 로고
    • String theory on K3 surfaces
    • B. Greene and S.T. Yau, eds. hep-th9404151
    • P.S. Aspinwall and D.R. Morrison, String theory on K3 surfaces, in Mirror symmetry, B. Greene and S.T. Yau, eds., vol. II, 1994, pp. 703-716; hep-th9404151.
    • (1994) Mirror symmetry , vol.2 , pp. 703-716
    • Aspinwall, P.S.1    Morrison, D.R.2
  • 6
    • 0001421566 scopus 로고
    • Enhanced gauge symmetries and K3 surfaces
    • hep-th9507012
    • P.S. Aspinwall, Enhanced gauge symmetries and K3 surfaces, Phys. Lett. B357 (1995), 329-334; hep-th9507012.
    • (1995) Phys. Lett. , vol.B357 , pp. 329-334
    • Aspinwall, P.S.1
  • 7
    • 0004339791 scopus 로고    scopus 로고
    • K3 surfaces and string duality, in Fields, strings and duality (Boulder, CO, 1996)
    • River Edge, NJ; hep-th9611137
    • P.S. Aspinwall, K3 surfaces and string duality, in Fields, strings and duality (Boulder, CO, 1996), World Sci. Publishing, River Edge, NJ, 1997, pp. 421-540; hep-th9611137.
    • (1997) World Sci. Publishing , pp. 421-540
    • Aspinwall, P.S.1
  • 8
    • 0040066755 scopus 로고
    • Reséaux de Kummer et surfaces K3
    • J. Bertin, Reséaux de Kummer et surfaces K3, Invent. Math. 93 no. 2 (1988), 267-284.
    • (1988) Invent. Math. , vol.93 , Issue.2 , pp. 267-284
    • Bertin, J.1
  • 9
    • 0031585613 scopus 로고    scopus 로고
    • Consistency conditions for branes at orbifold singularities
    • hep-th9705030
    • J.D. Blum and K. Intriligator, Consistency conditions for branes at orbifold singularities, Nucl. Phys. B506 (1997), 223-235; hep-th9705030.
    • (1997) Nucl. Phys. , vol.B506 , pp. 223-235
    • Blum, J.D.1    Intriligator, K.2
  • 10
    • 51249192550 scopus 로고
    • Corners and arithmetic groups
    • Avec un appendice Arrondissement des varietes a coins, par A. Douady et L. Herault
    • A. Borel and J.-P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973), 436-491, Avec un appendice Arrondissement des varietes a coins, par A. Douady et L. Herault.
    • (1973) Comment. Math. Helv. , vol.48 , pp. 436-491
    • Borel, A.1    Serre, J.-P.2
  • 11
    • 0035632205 scopus 로고    scopus 로고
    • Mukai implies McKay the McKay correspondence as an equivalence of derived categories
    • math.AG9908027
    • T. Bridgeland, A. King, and M. Reid, Mukai implies McKay the McKay correspondence as an equivalence of derived categories, J. Amer. Math. Soc. 14 no. 3 (2001), 535-554; math.AG9908027.
    • (2001) J. Amer. Math. Soc. , vol.14 , Issue.3 , pp. 535-554
    • Bridgeland, T.1    King, A.2    Reid, M.3
  • 13
    • 0001362698 scopus 로고
    • N = 2 Landau-Ginzburg vs. Calabi-Yau σ-models Non perturbative aspects
    • S. Cecotti, N = 2 Landau-Ginzburg vs. Calabi-Yau σ-models Non perturbative aspects, Int. J. Mod. Phys. A6 (1991), 1749-1813.
    • (1991) Int. J. Mod. Phys. , vol.A6 , pp. 1749-1813
    • Cecotti, S.1
  • 16
    • 0033614214 scopus 로고    scopus 로고
    • Instanton strings and hyperkaehler geometry
    • hep-th9810210
    • R. Dijkgraaf, Instanton strings and hyperkaehler geometry, Nucl. Phys. B543 (1999), 545-571; hep-th9810210.
    • (1999) Nucl. Phys. , vol.B543 , pp. 545-571
    • Dijkgraaf, R.1
  • 17
    • 6244271300 scopus 로고    scopus 로고
    • Enhanced gauge symmetry in M(atrix) theory
    • hep-th9612126
    • M.R. Douglas, Enhanced gauge symmetry in M(atrix) theory, JHEP 9707004 (1997); hep-th9612126.
    • (1997) JHEP , vol.9707 , Issue.4
    • Douglas, M.R.1
  • 18
    • 0001745569 scopus 로고
    • Superconformal algebras and atring compactification on manifolds with SU(n) holonomy
    • T. Eguchi, H. Ooguri, A. Taormina, and S.-K. Yang, Superconformal algebras and atring compactification on manifolds with SU(n) holonomy, Nucl. Phys. B315 (1989), 193-221.
    • (1989) Nucl. Phys. , vol.B315 , pp. 193-221
    • Eguchi, T.1    Ooguri, H.2    Taormina, A.3    Yang, S.-K.4
  • 19
    • 0001897302 scopus 로고
    • Finite automorphism groups of complex tori of dimension two
    • A. Fujiki, Finite automorphism groups of complex tori of dimension two, Publ. Res. Inst. Math. Sci. 24 no. 1 (1988), 1-97.
    • (1988) Publ. Res. Inst. Math. Sci. , vol.24 , Issue.1 , pp. 1-97
    • Fujiki, A.1
  • 20
    • 0001547946 scopus 로고
    • Construction geometrique de la correspondance de McKay
    • G. Gonzalez-Sprinberg and J.-L. Verdier, Construction geometrique de la correspondance de McKay, Ann. Sci. Ecole Norm. Sup. 16 no. 3 (1983), 409-449.
    • (1983) Ann. Sci. Ecole Norm. Sup. , vol.16 , Issue.3 , pp. 409-449
    • Gonzalez-Sprinberg, G.1    Verdier, J.-L.2
  • 21
    • 0000136565 scopus 로고    scopus 로고
    • D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds From Mukai to McKay
    • hep-th0010196
    • S. Govindarajan and T. Jayaraman, D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds From Mukai to McKay, Nucl. Phys. B600 (2001), 457-486; hep-th0010196.
    • (2001) Nucl. Phys. , vol.B600 , pp. 457-486
    • Govindarajan, S.1    Jayaraman, T.2
  • 23
    • 0001293384 scopus 로고
    • Group representations and the resolution of rational double points, in Finite groups-coming of age (Montreal, Que., 1982)
    • Providence, R.I.
    • H. Knörrer, Group representations and the resolution of rational double points, in Finite groups-coming of age (Montreal, Que., 1982), Amer. Math. Soc, Providence, R.I., 1985, pp. 175-222.
    • (1985) Amer. Math. Soc , pp. 175-222
    • Knörrer, H.1
  • 25
    • 0000145529 scopus 로고
    • Torelli theorems for K3-surfaces
    • E. Looijenga and C. Peters, Torelli theorems for K3-surfaces, Compos. Math. 42 (1981), 145-186.
    • (1981) Compos. Math. , vol.42 , pp. 145-186
    • Looijenga, E.1    Peters, C.2
  • 26
    • 33744844257 scopus 로고    scopus 로고
    • Phases of super symmetric D-branes on Kahler manifolds and the McKay correspondence
    • hep-th0010223
    • P. Mayr, Phases of super symmetric D-branes on Kahler manifolds and the McKay correspondence, JHEP 0101018 (2001); hep-th0010223.
    • (2001) JHEP , vol.101 , Issue.18
    • Mayr, P.1
  • 27
    • 0001280810 scopus 로고
    • Graphs, singularities, and finite groups
    • The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), Providence, R.I.
    • J. McKay, Graphs, singularities, and finite groups, in The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), Amer. Math. Soc, Providence, R.I., 1980, pp. 183-186.
    • (1980) Amer. Math. Soc , pp. 183-186
    • Mckay, J.1
  • 28
    • 84966221921 scopus 로고
    • Cartan matrices, finite groups of quaternions, and Kleinian singularities
    • J. McKay, Cartan matrices, finite groups of quaternions, and Kleinian singularities, Proc. Amer. Math. Soc. 81 no. 1 (1981), 153-154.
    • (1981) Proc. Amer. Math. Soc. , vol.81 , Issue.1 , pp. 153-154
    • Mckay, J.1
  • 29
    • 0002395599 scopus 로고
    • Symposium Internacional de Topologia Algebraica, La Universidad Nacional Autonoma de Mexico y la UNESCO
    • J. Milnor, On simply connected 4-manifolds, in: Symposium Internacional de Topologia Algebraica, La Universidad Nacional Autonoma de Mexico y la UNESCO, 1958, pp. 122-128.
    • (1958) On simply connected 4-manifolds , pp. 122-128
    • Milnor, J.1
  • 30
    • 79551481113 scopus 로고    scopus 로고
    • Private communication
    • D.R. Morrison, private communication.
    • Morrison, D.R.1
  • 31
    • 0001468671 scopus 로고
    • On K3 surfaces with large Picard number
    • D.R. Morrison, On K3 surfaces with large Picard number, Invent. Math. 75 (1984), 105-121.
    • (1984) Invent. Math. , vol.75 , pp. 105-121
    • Morrison, D.R.1
  • 32
    • 0000694645 scopus 로고
    • On the symplectic structure of the moduli spaces of stable sheaves over abelian varieties and K3 surfaces
    • S. Mukai, On the symplectic structure of the moduli spaces of stable sheaves over abelian varieties and K3 surfaces, Invent. Math. 77 (1984), 101-116.
    • (1984) Invent. Math. , vol.77 , pp. 101-116
    • Mukai, S.1
  • 33
    • 0001242426 scopus 로고
    • On the moduli space of bundles on K3 surfaces I
    • Vector bundles on algebraic varieties, Bombay
    • S. Mukai, On the moduli space of bundles on K3 surfaces I, in: Vector bundles on algebraic varieties, Tata Inst. Fund. Res., Bombay, 1987, pp. 341-413.
    • (1987) Tata Inst. Fund. Res. , pp. 341-413
    • Mukai, S.1
  • 34
    • 0001531434 scopus 로고
    • Mirror symmetry of K3 and torus
    • hep-th9312159
    • M. Nagura and K. Sugiyama, Mirror symmetry of K3 and torus, Int. J. Mod. Phys. A10 (1995), 233-252; hep-th9312159.
    • (1995) Int. J. Mod. Phys. , vol.A10 , pp. 233-252
    • Nagura, M.1    Sugiyama, K.2
  • 35
    • 0035530559 scopus 로고    scopus 로고
    • A hiker's guide to K3 - Aspects ofN = (4,4) superconformal field theory with central charge c = 6
    • hep-th9912067
    • W. Nahm and K. Wendland, A hiker's guide to K3 - Aspects ofN = (4,4) superconformal field theory with central charge c = 6, Commun. Math. Phys. 216 (2001), 85-138; hep-th9912067.
    • (2001) Commun. Math. Phys. , vol.216 , pp. 85-138
    • Nahm, W.1    Wendland, K.2
  • 36
    • 0001815981 scopus 로고
    • New heterotic string theories in uncompactified dimensions < 10
    • K.S. Narain, New heterotic string theories in uncompactified dimensions < 10, Phys. Lett. 169B (1986), 41-46.
    • (1986) Phys. Lett. , vol.169 B , pp. 41-46
    • Narain, K.S.1
  • 37
    • 84957137635 scopus 로고
    • On Kummer Surfaces
    • V.V. Nikulin, On Kummer Surfaces, Math. USSR Isv. 9 (1975), 261-275.
    • (1975) Math. USSR Isv. , vol.9 , pp. 261-275
    • Nikulin, V.V.1
  • 38
    • 0001928107 scopus 로고
    • Finite automorphism groups of Kaehler K3 surfaces
    • V.V. Nikulin, Finite automorphism groups of Kaehler K3 surfaces, Trans. Mosc. Math. Soc. 38 (1980), 71-135.
    • (1980) Trans. Mosc. Math. Soc. , vol.38 , pp. 71-135
    • Nikulin, V.V.1
  • 39
    • 33646888988 scopus 로고
    • Integral symmetric bilinear forms and some of their appli cations
    • V.V. Nikulin, Integral symmetric bilinear forms and some of their appli cations, Math. USSR Isv. 14 (1980), 103-167.
    • (1980) Math. USSR Isv. , vol.14 , pp. 103-167
    • Nikulin, V.V.1
  • 41
    • 33645902189 scopus 로고    scopus 로고
    • Zero branes on a compact orbifold
    • S. Ramgoolam and D. Waldram, Zero branes on a compact orbifold, JHEP 9807009 (1998); hep-th9805191.
    • (1998) JHEP , vol.9807 , Issue.9
    • Ramgoolam, S.1    Waldram, D.2
  • 42
    • 0000872385 scopus 로고
    • Observations on the moduli space of superconformal field theories
    • N. Seiberg, Observations on the moduli space of superconformal field theories, Nucl. Phys. B303 (1988), 286-304.
    • (1988) Nucl. Phys. , vol.B303 , pp. 286-304
    • Seiberg, N.1
  • 43
    • 0003014827 scopus 로고
    • On singular K3 surfaces
    • W.L. Bailey and T. Shioda, eds., Cambridge Univ. Press
    • T. Shioda and H. Inose, On singular K3 surfaces, in: Complex Analysis and Algebraic Geometry, W.L. Bailey and T. Shioda, eds., Cambridge Univ. Press, 1977, pp. 119-136.
    • (1977) Complex Analysis and Algebraic Geometry , pp. 119-136
    • Shioda, T.1    Inose, H.2
  • 44
    • 15944414229 scopus 로고    scopus 로고
    • Monodromy of functions on isolated cyclic quotients
    • M. Tibǎr, Monodromy of functions on isolated cyclic quotients, Topology Appl. 97 no. 3 (1999), 231-251.
    • (1999) Topology Appl. , vol.97 , Issue.3 , pp. 231-251
    • Tibǎr, M.1
  • 45
    • 33744842135 scopus 로고    scopus 로고
    • D-branes on Calabi-Yau manifolds and helices
    • hep-th0010217
    • A. Tomasiello, D-branes on Calabi-Yau manifolds and helices, JHEP 0102008 (2001); hep-th0010217.
    • (2001) JHEP , vol.102 , Issue.8
    • Tomasiello, A.1
  • 46
    • 84959628802 scopus 로고
    • On isolated singularities which do not affect the condition of adjunction
    • P. Du Val, On isolated singularities which do not affect the condition of adjunction, Proc. Cambridge Phil. Soc. 30 (1934), 453-465.
    • (1934) Proc. Cambridge Phil. Soc. , vol.30 , pp. 453-465
    • Du Val, P.1


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