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Volumn , Issue 5, 2005, Pages 484-599

Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections

Author keywords

String Duality; Superstring Vacua; Superstrings and Heterotic Strings; Topological Strings

Indexed keywords


EID: 21444444416     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/05/023     Document Type: Article
Times cited : (85)

References (130)
  • 2
    • 79551488638 scopus 로고    scopus 로고
    • M-theory, topological strings and spinning black holes
    • hep-th/9910181
    • S. Katz, A. Klemm and C. Vafa, M-theory, topological strings and spinning black holes, Adv. Theor. Math. Phys. 3 (1999) 1445 [hep-th/9910181].
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 1445
    • Katz, S.1    Klemm, A.2    Vafa, C.3
  • 3
    • 42749098628 scopus 로고    scopus 로고
    • Black hole, attractors and the topological string
    • hep-th/0405146
    • H. Ooguri, A. Strominger and C. Vafa, Black hole, attractors and the topological string, Phys. Rev. D 70 (2004) 106007 [hep-th/0405146].
    • (2004) Phys. Rev. D , vol.70 , pp. 106007
    • Ooguri, H.1    Strominger, A.2    Vafa, C.3
  • 5
    • 33646066267 scopus 로고
    • Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
    • hep-th/9308122
    • S. Hosono, A. Klemm, S. Theison and S.T. Yau, Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces, Commun. Math. Phys. 167 (1995) 301 [hep-th/9308122].
    • (1995) Commun. Math. Phys. , vol.167 , pp. 301
    • Hosono, S.1    Klemm, A.2    Theison, S.3    Yau, S.T.4
  • 6
    • 0010891407 scopus 로고
    • Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces
    • hep-th/9406055
    • S. Hosono, A. Klemm, S. Theison and S.T. Yau, Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces, Nucl. Phys. B 433 (1995) 501 [hep-th/9406055].
    • (1995) Nucl. Phys. B , vol.433 , pp. 501
    • Hosono, S.1    Klemm, A.2    Theison, S.3    Yau, S.T.4
  • 7
    • 0042515581 scopus 로고    scopus 로고
    • On the ubiquity of K3 fibrations in string duality
    • hep-th/9510234
    • P.S. Aspinwall and J. Louis, On the ubiquity of K3 fibrations in string duality, Phys. Lett. B 369 (1996) 223, [hep-th/9510234].
    • (1996) Phys. Lett. B , vol.369 , pp. 223
    • Aspinwall, P.S.1    Louis, J.2
  • 8
    • 0000279444 scopus 로고
    • On algebraic fiber space structures on a Calabi-Yau 3-fold
    • K. Oguiso, On algebraic Fiber space structures on a Calabi-Yau 3-fold, Int. J. of Math. 4 (1993) 439.
    • (1993) Int. J. of Math. , vol.4 , pp. 439
    • Oguiso, K.1
  • 10
    • 0001633431 scopus 로고
    • All abelian symmetries of Landau-Ginzburg potentials
    • hep-th/9211047
    • M. Kreuzer and H. Skarke, All abelian symmetries of Landau-Ginzburg potentials, Nucl. Phys. B 405 (1993) 305 [hep-th/9211047].
    • (1993) Nucl. Phys. B , vol.405 , pp. 305
    • Kreuzer, M.1    Skarke, H.2
  • 11
    • 21444444458 scopus 로고    scopus 로고
    • http://hep.itp.tuwien.ac.at/~kreuzer/CY/hep-th/0410018.html
  • 14
    • 84956099454 scopus 로고
    • The geometry of toric varieties
    • V.I. Danilov, The geometry of toric varieties, Russian Math. Survey 33 (1978) 97.
    • (1978) Russian Math. Survey , vol.33 , pp. 97
    • Danilov, V.I.1
  • 15
    • 0001201668 scopus 로고    scopus 로고
    • Recent developments in toric geometry
    • alg-geom/9606016
    • D. Cox, Recent developments in toric geometry, AMS Proc. Symp. Pure Math. 62 (1997) 389 [alg-geom/9606016].
    • (1997) AMS Proc. Symp. Pure Math. , vol.62 , pp. 389
    • Cox, D.1
  • 16
    • 0002803885 scopus 로고
    • The homogeneous coordinate ring of a toric variety, revised version
    • alg-geom/9210008
    • D. Cox, The homogeneous coordinate ring of a toric variety, revised version, J. Alg. Geom. 4 (1995) 17 [alg-geom/9210008].
    • (1995) J. Alg. Geom. , vol.4 , pp. 17
    • Cox, D.1
  • 17
    • 0000986417 scopus 로고
    • Dual polyhedra and mirror symmetry for Calabi- Yau hypersurfaces in toric varieties
    • alg-geom/9310003
    • V.V. Batyrev, Dual polyhedra and mirror symmetry for Calabi- Yau hypersurfaces in toric varieties, J. Alg. Geom. 3 (1994) 493 [alg-geom/9310003].
    • (1994) J. Alg. Geom. , vol.3 , pp. 493
    • Batyrev, V.V.1
  • 18
    • 21444441766 scopus 로고
    • On Calabi-Yau complete intersections in toric varieties
    • Trento, de Gruytor, Berlin [alg-geom/9412017]
    • V.V. Batyrov and L.A. Borisov, On Calabi-Yau complete intersections in toric varieties, in Higher-dimensional complex varieties, Trento, 1994, pp. 39-65, de Gruytor, Berlin 1996 [alg-geom/9412017].
    • (1994) Higher-dimensional Complex Varieties , pp. 39-65
    • Batyrov, V.V.1    Borisov, L.A.2
  • 20
    • 0030523026 scopus 로고    scopus 로고
    • Mirror duality and string-theoretic hodge numbers
    • alg-geom/9509009
    • V.V. Batyrev and L.A. Borisov, Mirror duality and string-theoretic hodge numbers, Invent. Math. 126 (1996) 183 [alg-geom/9509009].
    • (1996) Invent. Math. , vol.126 , pp. 183
    • Batyrev, V.V.1    Borisov, L.A.2
  • 21
    • 0001029146 scopus 로고
    • Newton polyhedra and an algorithm for computing Hodge-Deligne numbers
    • V.I. Danilov and A.G. Khovatiskii, Newton polyhedra and an algorithm for computing Hodge-Deligne numbers, Math. USSR Izv. 29 (1987) 2791
    • (1987) Math. USSR Izv. , vol.29 , pp. 2791
    • Danilov, V.I.1    Khovatiskii, A.G.2
  • 23
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • R.P. Stanley, Enumerative combinatorics, vol. 1, Cambridge University Press, Cambridge 1997.
    • (1997) Enumerative Combinatorics , vol.1
    • Stanley, R.P.1
  • 25
    • 0034649944 scopus 로고    scopus 로고
    • Semiample hypersurfaces in toric varieties
    • math.AG/9812163
    • A.R. Mavlyutov, Semiample hypersurfaces in toric varieties, Duke Math. J. 101 (2000) 85 [math.AG/9812163].
    • (2000) Duke Math. J. , vol.101 , pp. 85
    • Mavlyutov, A.R.1
  • 26
    • 0037401051 scopus 로고    scopus 로고
    • Toric complete intersections and weighted projective space
    • math.AG/0103214
    • M. Kreuzer, K. Riegler and D. Sahakyan, Toric complete intersections and weighted projective space, J. Geom. Phys. 46 (2003) 159 [math.AG/0103214].
    • (2003) J. Geom. Phys. , vol.46 , pp. 159
    • Kreuzer, M.1    Riegler, K.2    Sahakyan, D.3
  • 27
    • 79551489030 scopus 로고    scopus 로고
    • Complete classification of reflexive polyhedra in four dimensions
    • hep-th/0002240
    • M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four dimensions, Adv. Theor. Math. Phys. 4 (2002) 1209 [hep-th/0002240].
    • (2002) Adv. Theor. Math. Phys. , vol.4 , pp. 1209
    • Kreuzer, M.1    Skarke, H.2
  • 28
    • 0036014355 scopus 로고    scopus 로고
    • Reflexive polyhedra, weights and toric Calabi-Yau fibrations
    • math.AG/0001106
    • M. Kreuzer, H. Skarke, Reflexive polyhedra, weights and toric Calabi-Yau fibrations, Rev. Mod. Phys. 14 (2002) 343 [math.AG/0001106].
    • (2002) Rev. Mod. Phys. , vol.14 , pp. 343
    • Kreuzer, M.1    Skarke, H.2
  • 29
    • 21444459141 scopus 로고    scopus 로고
    • http://hep.itp.tuwien.ac.at/~kreuzer/CY.html.
  • 30
    • 1642443475 scopus 로고    scopus 로고
    • PALP: A package for analyzing lattice polytopes
    • math.SC/0204356
    • M. Kreuzer and H. Skarke, PALP: A package for analyzing lattice polytopes, Comput. Phys. Commun. 157 (2004) 87 [math.SC/0204356].
    • (2004) Comput. Phys. Commun. , vol.157 , pp. 87
    • Kreuzer, M.1    Skarke, H.2
  • 31
    • 23044479378 scopus 로고    scopus 로고
    • Torus-fibered, Calabi-Yau threefolds with non-trivial fundamental group
    • hep-th/0212221
    • B.A. Ovrut., T. Pantev and R. Reinbacher, Torus-fibered, Calabi-Yau threefolds with non-trivial fundamental group, JHEP 05 (2003) 040 hep-th/0212221].
    • (2003) JHEP , vol.5 , pp. 040
    • Ovrut, B.A.1    Pantev, T.2    Reinbacher, R.3
  • 33
    • 0000367453 scopus 로고
    • Generalized Calabi-Yau manifolds and the mirror of a rigid manifold
    • hep-th/9304045
    • P. Candelas, K. Derrick and L. Parkes, Generalized Calabi-Yau manifolds and the mirror of a rigid manifold, Nucl. Phys. B 407 (1993) 115 [hep-th/9304045].
    • (1993) Nucl. Phys. B , vol.407 , pp. 115
    • Candelas, P.1    Derrick, K.2    Parkes, L.3
  • 34
    • 0009982832 scopus 로고    scopus 로고
    • Dual cones and mirror symmetry for generalized Calabi- Yau manifolds
    • Mirror symmetry II, B. Greene and S.T. Yau eds., [alg-geom/9402002]
    • V.V. Batyrev and L.A. Borisov, Dual cones and mirror symmetry for generalized Calabi- Yau manifolds, in Mirror symmetry II, B. Greene and S.T. Yau eds., [Adv. Math. 1 (1997) 71 [alg-geom/9402002].
    • (1997) Adv. Math. , vol.1 , pp. 71
    • Batyrev, V.V.1    Borisov, L.A.2
  • 35
    • 0001089577 scopus 로고
    • A generalized construction of mirror manifolds
    • hep-th/9201014
    • P. Berglund and T. Hubsch, A generalized construction of mirror manifolds, Nucl. Phys. B 393 (1993) 377 [hep-th/9201014].
    • (1993) Nucl. Phys. B , vol.393 , pp. 377
    • Berglund, P.1    Hubsch, T.2
  • 36
    • 4243863920 scopus 로고
    • Orbifolds with discrete torsion and mirror symmetry
    • hep-th/9505120
    • M. Kreuzer and H. Skarke, Orbifolds with discrete torsion and mirror symmetry, Phys. Lett. B 357 (1995) 81 [hep-th/9505120].
    • (1995) Phys. Lett. B , vol.357 , pp. 81
    • Kreuzer, M.1    Skarke, H.2
  • 37
    • 0030569486 scopus 로고    scopus 로고
    • Gkz generalized hypergeometric, systems in mirror symmetry of Calabi-Yau hypersurfaces
    • alg-geom/9511001
    • S. Hosono, B.H. Lian and S.T. Yau, Gkz generalized hypergeometric, systems in mirror symmetry of Calabi-Yau hypersurfaces, Commun. Math. Phys. 182 (1996) 535 [alg-geom/9511001].
    • (1996) Commun. Math. Phys. , vol.182 , pp. 535
    • Hosono, S.1    Lian, B.H.2    Yau, S.T.3
  • 38
    • 0346484475 scopus 로고    scopus 로고
    • On the maximal width of empty lattice simplices
    • C. Haase and G. M. Ziegler, On the maximal width of empty lattice simplices, Europ. J. Combinatorics 21 (2000) 111.
    • (2000) Europ. J. Combinatorics , vol.21 , pp. 111
    • Haase, C.1    Ziegler, G.M.2
  • 40
    • 0032116649 scopus 로고    scopus 로고
    • Calabi-Yau 4-folds and toric fibrations
    • hep-th/9701175
    • M. Kreuzer and H. Skarke, Calabi-Yau 4-folds and toric fibrations, J. Geom. Phys. 26 (1998) 272 [hep-th/9701175].
    • (1998) J. Geom. Phys. , vol.26 , pp. 272
    • Kreuzer, M.1    Skarke, H.2
  • 41
    • 21444441312 scopus 로고    scopus 로고
    • Toric morphisms and fibrations of toric. Calabi-Yau hypersurfaces
    • math.ag/0010082
    • Y. Hu, C.-H. Lin and S.-T. Yau, Toric morphisms and fibrations of toric. Calabi-Yau hypersurfaces, Adv. Theor. Math. Phys. 6 (2003) 457 [math.ag/0010082].
    • (2003) Adv. Theor. Math. Phys. , vol.6 , pp. 457
    • Hu, Y.1    Lin, C.-H.2    Yau, S.-T.3
  • 43
    • 0000038612 scopus 로고
    • Mirror maps and instanton sums for complete intersections in weighted projective space
    • hep-th/9304034
    • A. Klemm and S. Theisen, Mirror maps and instanton sums for complete intersections in weighted projective space, Mod. Phys. Lett. A 9 (1994) 1807 [hep-th/9304034].
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 1807
    • Klemm, A.1    Theisen, S.2
  • 44
    • 0010022959 scopus 로고
    • Phases of N=2 theories in two dimensions
    • hep-th/9301042
    • K. Witten, Phases of N=2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042].
    • (1993) Nucl. Phys. B , vol.403 , pp. 159
    • Witten, K.1
  • 45
    • 0001461975 scopus 로고
    • Classification problems in differential topology, V: On certain 6 manifolds
    • erratum ibid. 2 (1907) 306
    • C.T.C. Wall, Classification problems in differential topology, V: On certain 6 manifolds, Invent. Math. 1 (1966) 355, erratum ibid. 2 (1907) 306.
    • (1966) Invent. Math. , vol.1 , pp. 355
    • Wall, C.T.C.1
  • 46
    • 0000351540 scopus 로고
    • Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties
    • hep-th/9506091
    • P. Berglund, S. Katz and A. Klemm, Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties, Nucl. Phys. B 456 (1995) 153 [hep-th/9506091].
    • (1995) Nucl. Phys. B , vol.456 , pp. 153
    • Berglund, P.1    Katz, S.2    Klemm, A.3
  • 47
    • 84972567191 scopus 로고
    • On the classification of smooth projective toric varieties
    • V.V. Batyrev, On the classification of smooth projective toric varieties, Tohoku Math. J. 43 (1991) 509.
    • (1991) Tohoku Math. J. , vol.43 , pp. 509
    • Batyrev, V.V.1
  • 48
    • 0001743478 scopus 로고
    • K3 fibrations and heterotic type-II string duality
    • hep-th/9506112
    • A. Klemm, W. Lerche and P. Mayr, K3 fibrations and heterotic type-II string duality, Phys. Lett. B 357 (1995) 313 [hep-th/9506112.
    • (1995) Phys. Lett. B , vol.357 , pp. 313
    • Klemm, A.1    Lerche, W.2    Mayr, P.3
  • 49
    • 0002190702 scopus 로고
    • Constructions and complexity of secondary polytopes
    • L.J. Billera, P. Filliman and B. Sturmfels, Constructions and complexity of secondary polytopes, Adv. Math. 83 (1990) 155.
    • (1990) Adv. Math. , vol.83 , pp. 155
    • Billera, L.J.1    Filliman, P.2    Sturmfels, B.3
  • 52
    • 0002312963 scopus 로고
    • Exact results for N=2 compactifications of heterotic strings
    • hep-th/9505105
    • S. Kachru and C. Vafa, Exact results for N=2 compactifications of heterotic strings, Nucl. Phys. B 450 (1995) 69 [hep-th/9505105].
    • (1995) Nucl. Phys. B , vol.450 , pp. 69
    • Kachru, S.1    Vafa, C.2
  • 56
    • 85014454865 scopus 로고    scopus 로고
    • Frobenius manifolds and formality of Lie algebras of polyvector fields
    • alg-geom/9710032
    • S. Barannikov and M. Kontsevich, Frobenius manifolds and formality of Lie algebras of polyvector fields, Internat. Math. Res. Notices 4 (1998) 201 [alg-geom/9710032].
    • (1998) Internat. Math. Res. Notices , vol.4 , pp. 201
    • Barannikov, S.1    Kontsevich, M.2
  • 57
    • 0011625532 scopus 로고
    • Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
    • hep-th/9309140
    • M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311 [hep-th/9309140].
    • (1994) Commun. Math. Phys. , vol.165 , pp. 311
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 58
    • 13444256444 scopus 로고
    • Holomorphic anomalies in topological field theories
    • hep-th/9302103
    • M. Bershadsky, S. Cocotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories, Nucl. Phys. B 405 (1993) 279 [hep-th/9302103].
    • (1993) Nucl. Phys. B , vol.405 , pp. 279
    • Bershadsky, M.1    Cocotti, S.2    Ooguri, H.3    Vafa, C.4
  • 59
    • 23044455832 scopus 로고    scopus 로고
    • Matrix model as a mirror of Chern-Simons theory
    • hep-th/0211098
    • M. Aganagic, A. Klemm, M. Marino and C. Vafa, Matrix model as a mirror of Chern-Simons theory, JHEP 02 (2004) 010 [hep-th/0211098.
    • (2004) JHEP , vol.2 , pp. 010
    • Aganagic, M.1    Klemm, A.2    Marino, M.3    Vafa, C.4
  • 60
    • 21444461141 scopus 로고    scopus 로고
    • Load mirror symmetry at higher genus
    • Winter school on mirror symmetry, vector bundles and lagrangian submanifolds, Cambridge MA, 1999 hep-th/9906046
    • A. Klemm and E. Zaslow, Load mirror symmetry at higher genus, in Winter school on mirror symmetry, vector bundles and lagrangian submanifolds, Cambridge MA, 1999, AMS/IP Stud. Adv. Math. 23 (2001) 183 [hep-th/9906046].
    • (2001) AMS/IP Stud. Adv. Math. , vol.23 , pp. 183
    • Klemm, A.1    Zaslow, E.2
  • 64
    • 0039514394 scopus 로고
    • On gauge couplings in string theory
    • hep-th/9502077
    • V. Kaplunovsky and J. Louis, On gauge couplings in string theory, Nucl. Phys. B 444 (1995) 191 hep-th/9502077.
    • (1995) Nucl. Phys. B , vol.444 , pp. 191
    • Kaplunovsky, V.1    Louis, J.2
  • 65
    • 0000007820 scopus 로고
    • N=2 type-II heterotic duality and higher derivative f terms
    • hep-th/9507115
    • I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, N=2 type-II heterotic duality and higher derivative f terms, Nucl. Phys. B 455 (1995) 109 [hep-th/9507115].
    • (1995) Nucl. Phys. B , vol.455 , pp. 109
    • Antoniadis, I.1    Gava, E.2    Narain, K.S.3    Taylor, T.R.4
  • 66
    • 0034364921 scopus 로고    scopus 로고
    • Hodge integrals and Gromov- Witten theory
    • math.AG/9810173
    • C. Faber and R. Pandharipande, Hodge integrals and Gromov- Witten theory, Invent. Math. 139 (2000) 173 [math.AG/9810173].
    • (2000) Invent. Math. , vol.139 , pp. 173
    • Faber, C.1    Pandharipande, R.2
  • 67
    • 0032377338 scopus 로고    scopus 로고
    • Automorphic forms with singularities on grassmannians
    • alg-geom/9609022
    • R.E. Borcherds, Automorphic forms with singularities on grassmannians, Invent. Math. 132 (1998) 491 [alg-geom/9609022].
    • (1998) Invent. Math. , vol.132 , pp. 491
    • Borcherds, R.E.1
  • 68
    • 21444437914 scopus 로고    scopus 로고
    • Product formulas for modular forms on O(2,n) (after R.Borcherds)
    • Exp. No. 821 [alg-geom/9709006]
    • M. Kontsevich, Product formulas for modular forms on O(2,n) (after R.Borcherds), Astérisque 245 (1997) 41, Exp. No. 821 [alg-geom/9709006].
    • (1997) Astérisque , vol.245 , pp. 41
    • Kontsevich, M.1
  • 69
    • 0001618740 scopus 로고    scopus 로고
    • String partition functions and infinite products
    • hep-th/0002169
    • T. Kawai and K. Yoshioka, String partition functions and infinite products, Adv. Theor. Math. Phys. 4 (2000) 397 [hep-th/0002169].
    • (2000) Adv. Theor. Math. Phys. , vol.4 , pp. 397
    • Kawai, T.1    Yoshioka, K.2
  • 70
    • 0002035669 scopus 로고    scopus 로고
    • Gauge theory in higher dimensions
    • Oxford University Press, Oxford
    • S.K. Donaldson and R.P. Thomas, Gauge theory in higher dimensions, in The geometric universe, pp. 31 47, Oxford University Press, Oxford 1998.
    • (1998) The Geometric Universe , pp. 3147
    • Donaldson, S.K.1    Thomas, R.P.2
  • 71
    • 0010666849 scopus 로고    scopus 로고
    • A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations
    • math.AG/9806111
    • R.P. Thomas, A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations, J. Diff. Geom. 54 (2000) 367 [math.AG/9806111].
    • (2000) J. Diff. Geom. , vol.54 , pp. 367
    • Thomas, R.P.1
  • 72
    • 23044504660 scopus 로고    scopus 로고
    • S-duality and topological strings
    • hep-th/0403167
    • N. Nekrasov, H. Ooguri and C. Vafa, S-duality and topological strings, JHEP 10 (2004) 009 [hep-th/0403167].
    • (2004) JHEP , vol.10 , pp. 009
    • Nekrasov, N.1    Ooguri, H.2    Vafa, C.3
  • 74
    • 0010768747 scopus 로고
    • C = 1 string as the topological theory of the conifold
    • hep-th/9506122
    • D. Ghoshal and C. Vafa, C = 1 string as the topological theory of the conifold, Nucl. Phys. B 453 (1995) 121 [hep-th/9506122].
    • (1995) Nucl. Phys. B , vol.453 , pp. 121
    • Ghoshal, D.1    Vafa, C.2
  • 76
    • 2942616401 scopus 로고    scopus 로고
    • All loop topological string amplitudes from Chern-Simons theory
    • hep-th/0206164
    • M. Aganagic, M. Marino and C. Vafa, All loop topological string amplitudes from Chern-Simons theory, Commun. Math. Phys. 247 (2004) [hep-th/0206164].
    • (2004) Commun. Math. Phys. , vol.247
    • Aganagic, M.1    Marino, M.2    Vafa, C.3
  • 77
    • 0033614220 scopus 로고    scopus 로고
    • Counting higher genus curves in a Calabi-Yau manifold
    • hep-th/9808131
    • M. Marino and G.W. Moore, Counting higher genus curves in a Calabi-Yau manifold, Nucl. Phys. B 543 (1999) 592 [hep-th/9808131].
    • (1999) Nucl. Phys. B , vol.543 , pp. 592
    • Marino, M.1    Moore, G.W.2
  • 78
    • 0030578180 scopus 로고    scopus 로고
    • Strong coupling singularities and non-abelian gauge symmetries in n=2 string theory
    • hep-th/9601014
    • A. Klomm and P. Mayr, Strong coupling singularities and non-abelian gauge symmetries in n=2 string theory, Nucl. Phys. B 469 (1996) 37 [hep-th/9601014].
    • (1996) Nucl. Phys. B , vol.469 , pp. 37
    • Klomm, A.1    Mayr, P.2
  • 79
    • 0030573954 scopus 로고    scopus 로고
    • Enhanced gauge symmetry in type-II string theory
    • hep-th/9601108
    • S. Katz, D.R. Morrison and M. Ronon Plesser, Enhanced gauge symmetry in type-II string theory, Nucl. Phys. B 477 (1996) 105 [hep-th/9601108].
    • (1996) Nucl. Phys. B , vol.477 , pp. 105
    • Katz, S.1    Morrison, D.R.2    Plesser, M.R.3
  • 80
    • 0030585867 scopus 로고    scopus 로고
    • BPS states, string duality and nodal curves on K3
    • hep-th/9512121
    • S.-T. Yau and E. Zaslow, BPS states, string duality and nodal curves on K3, Nucl. Phys. B 471 (1996) 503 [hep-th/9512121].
    • (1996) Nucl. Phys. B , vol.471 , pp. 503
    • Yau, S.-T.1    Zaslow, E.2
  • 81
    • 0011284939 scopus 로고    scopus 로고
    • Holomorphic anomaly aquation and BPS state counting of rational elliptic surface
    • hep-th/9901151
    • S. Hosono, M.H. Saito and A. Takahashi, Holomorphic anomaly aquation and BPS state counting of rational elliptic surface, Adv. Theor. Math. Phys. 3 (1999) 177 [hep-th/9901151].
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 177
    • Hosono, S.1    Saito, M.H.2    Takahashi, A.3
  • 82
    • 0030600825 scopus 로고    scopus 로고
    • Algebras, BPS states and strings
    • hep-th/9510182
    • J.A. Harvey and G.W. Moore, Algebras, BPS states and strings, Nucl. Phys. B 463 (1996) 315 [hep-th/9510182].
    • (1996) Nucl. Phys. B , vol.463 , pp. 315
    • Harvey, J.A.1    Moore, G.W.2
  • 83
    • 0033558677 scopus 로고    scopus 로고
    • Counting rational curves on K3 surfaces
    • alg-geom/9701019
    • A. Beauville, Counting rational curves on K3 surfaces, Duke Math. J. 97 (1999) 99 [alg-geom/9701019].
    • (1999) Duke Math. J. , vol.97 , pp. 99
    • Beauville, A.1
  • 85
    • 0000372598 scopus 로고
    • Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
    • L. Göttsche and W. Soergel, Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces, Math. Ann. 296 (1993) 2351
    • (1993) Math. Ann. , vol.296 , pp. 2351
    • Göttsche, L.1    Soergel, W.2
  • 86
    • 0001060689 scopus 로고    scopus 로고
    • Topological sigma model and Donaldson-type invariants in Gromov-Witten theory
    • Y. Ruan, Topological sigma model and Donaldson-type invariants in Gromov-Witten theory, Duke Math. J. 83 (1996) 491.
    • (1996) Duke Math. J. , vol.83 , pp. 491
    • Ruan, Y.1
  • 87
    • 13744264593 scopus 로고
    • Massless black holes and conifolds in string theory
    • hep-th/9504090
    • A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995) 96 [hep-th/9504090].
    • (1995) Nucl. Phys. B , vol.451 , pp. 96
    • Strominger, A.1
  • 88
    • 0000171765 scopus 로고
    • A stringy test of the fate of the conifold
    • hep-th/9505023
    • C. Vafa, A stringy test of the fate of the conifold, Nucl. Phys. B 447 (1995) 252 [hep-th/9505023].
    • (1995) Nucl. Phys. B , vol.447 , pp. 252
    • Vafa, C.1
  • 90
    • 16144366518 scopus 로고    scopus 로고
    • Nonperturbative results on the point particle limit of N=2 heterotic string compactifications
    • hep-th/9508155
    • S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, Nonperturbative results on the point particle limit of N=2 heterotic string compactifications, Nucl. Phys. B 459 (1996) 537 [hep-th/9508155].
    • (1996) Nucl. Phys. B , vol.459 , pp. 537
    • Kachru, S.1    Klemm, A.2    Lerche, W.3    Mayr, P.4    Vafa, C.5
  • 91
    • 0039891698 scopus 로고    scopus 로고
    • The deformation space of Calabi-Yau N-folds can be obstructed
    • alg-geom/9402014
    • M. Gross, The deformation space of Calabi-Yau N-folds can be obstructed, in Mirror Symmetry 11, MS/IP Stud. Adv. Math. 1 (1997) 101 [alg-geom/9402014].
    • (1997) Mirror Symmetry 11, MS/IP Stud. Adv. Math. , vol.1 , pp. 101
    • Gross, M.1
  • 93
    • 0010847089 scopus 로고
    • Moduli dependence, of string loop corrections to gauge coupling constants
    • L.J. Dixon, V. Kaplunovsky and I. Louis, Moduli dependence, of string loop corrections to gauge coupling constants, Nucl. Phys. B 355 (1991) 649.
    • (1991) Nucl. Phys. B , vol.355 , pp. 649
    • Dixon, L.J.1    Kaplunovsky, V.2    Louis, I.3
  • 94
    • 0040514869 scopus 로고    scopus 로고
    • N = 2 type-I heterotic duality and higher derivative F-terms
    • hep-th/9611017
    • M. Serone, N = 2 type-I heterotic duality and higher derivative F-terms, Phys. Lett. B 395 (1997) 42 [hep-th/9611017].
    • (1997) Phys. Lett. B , vol.395 , pp. 42
    • Serone, M.1
  • 95
    • 0002625987 scopus 로고    scopus 로고
    • String duality and modular forms
    • hep-th/9607078
    • T. Kawai, String duality and modular forms, Phys. Lett. B 397 (1997) 51 [hep-th/9607078].
    • (1997) Phys. Lett. B , vol.397 , pp. 51
    • Kawai, T.1
  • 96
    • 0002359939 scopus 로고
    • Aspects of duality in N = 2 string vacua
    • hep-th/9506110
    • V. Kaplunovsky, J. Louis and S. Theison, Aspects of duality in N = 2 string vacua, Phys. Lett. B 357 (1995) 71 [hep-th/9506110].
    • (1995) Phys. Lett. B , vol.357 , pp. 71
    • Kaplunovsky, V.1    Louis, J.2    Theison, S.3
  • 98
    • 21444447847 scopus 로고    scopus 로고
    • Work in progress
    • Work in progress.
  • 99
    • 17344392518 scopus 로고    scopus 로고
    • BPS states of exceptional non-critical strings
    • hep-th/9607139
    • A. Klemm, P. Mayr and C. Vafa, BPS states of exceptional non-critical strings, Nucl. Phys. 58 (Proc. Suppl.) (1997) 177 [hep-th/9607139].
    • (1997) Nucl. Phys. , vol.58 , Issue.PROC. SUPPL. , pp. 177
    • Klemm, A.1    Mayr, P.2    Vafa, C.3
  • 100
    • 0030597742 scopus 로고    scopus 로고
    • Evidence, for heterotic/heterotic duality
    • hep-th/9601036
    • M.J. Duff, R. Minasian and E. Witten, Evidence, for heterotic/heterotic duality, Nucl. Phys. B 465 (1996) 413 [hep-th/9601036].
    • (1996) Nucl. Phys. B , vol.465 , pp. 413
    • Duff, M.J.1    Minasian, R.2    Witten, E.3
  • 101
    • 0030605765 scopus 로고    scopus 로고
    • Counting curves with modular forms
    • hep-th/9602154
    • M. Henningson and G.W. Moore, Counting curves with modular forms, Nucl. Phys. B 472 (1996) 518 [hep-th/9602154].
    • (1996) Nucl. Phys. B , vol.472 , pp. 518
    • Henningson, M.1    Moore, G.W.2
  • 102
    • 0031566625 scopus 로고    scopus 로고
    • Special geometry and automorphic forms
    • hep-th/9703195
    • P. Berglund, M. Henningson and N. Wyllard, Special geometry and automorphic forms, Nucl. Phys. B 503 (1997) 256 [hep-th/9703195].
    • (1997) Nucl. Phys. B , vol.503 , pp. 256
    • Berglund, P.1    Henningson, M.2    Wyllard, N.3
  • 104
    • 0001359331 scopus 로고    scopus 로고
    • Kxact gravitational threshold correction in the, fhsv model
    • hep-th/9611176
    • J.A. Harvey and G.W. Moore, Kxact gravitational threshold correction in the, fhsv model, Phys. Rev. D 57 (1998) 2329 [hep-th/9611176].
    • (1998) Phys. Rev. D , vol.57 , pp. 2329
    • Harvey, J.A.1    Moore, G.W.2
  • 106
    • 33645946188 scopus 로고    scopus 로고
    • Mirror symmetry for lattice, polarized K3 surfaces
    • alg-geom/9502005
    • I.V. Dolgachev, Mirror symmetry for lattice, polarized K3 surfaces, J. Math. Sci. 81 (1996) 2599 [alg-geom/9502005].
    • (1996) J. Math. Sci. , vol.81 , pp. 2599
    • Dolgachev, I.V.1
  • 107
    • 0003326021 scopus 로고    scopus 로고
    • K3 surfaces and string duality
    • World Scientific Publishing, River Kdge, NJ [hep-th/9611137]
    • P.S. Aspinwall, K3 surfaces and string duality, in Fields, strings and duality, 1997, pp. 421-540, World Scientific Publishing, River Kdge, NJ [hep-th/9611137].
    • (1997) Fields, Strings and Duality , pp. 421-540
    • Aspinwall, P.S.1
  • 108
    • 21444439491 scopus 로고    scopus 로고
    • Work in progress
    • Work in progress.
  • 109
    • 0001144979 scopus 로고    scopus 로고
    • Comments on string dynamics in six dimensions
    • hep-th/9603003
    • N. Seiberg and K. Witten, Comments on string dynamics in six dimensions, Nucl. Phys. B 471 (1996) 121 [hep-th/9603003].
    • (1996) Nucl. Phys. B , vol.471 , pp. 121
    • Seiberg, N.1    Witten, K.2
  • 110
    • 33646989217 scopus 로고
    • The Kähler cone on Calabi-Yau threefolds
    • erratum ibid. 114 (1993) 231
    • P.M.H. Wilson, The Kähler cone on Calabi-Yau threefolds, Invent. Math. 107 (1992) 561, erratum ibid. 114 (1993) 231.
    • (1992) Invent. Math. , vol.107 , pp. 561
    • Wilson, P.M.H.1
  • 111
    • 0030607092 scopus 로고    scopus 로고
    • Compactifications of F-theory on Calabi-Yau threefolds, II
    • hep-th/9603161
    • D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds, II, Nucl. Phys. B 476 (1996) 437 [hep-th/9603161].
    • (1996) Nucl. Phys. B , vol.476 , pp. 437
    • Morrison, D.R.1    Vafa, C.2
  • 112
    • 0010839454 scopus 로고
    • Einfach-elliptische Singularitäten
    • K. Saito, Einfach-elliptische Singularitäten, Invent. Math. 23 (1974) 289.
    • (1974) Invent. Math. , vol.23 , pp. 289
    • Saito, K.1
  • 113
    • 0032507540 scopus 로고    scopus 로고
    • Calabi-Yau fourfolds for m- And F-theory compactifications
    • hep-th/9701023
    • A. Klemm, B. Lian, S.S. Roan and S.T. Yau, Calabi-Yau fourfolds for m- and F-theory compactifications, Nucl. Phys. B 518 (1998) 515 [hep-th/9701023].
    • (1998) Nucl. Phys. B , vol.518 , pp. 515
    • Klemm, A.1    Lian, B.2    Roan, S.S.3    Yau, S.T.4
  • 114
    • 21444459462 scopus 로고    scopus 로고
    • Counting BPS states via holomorphic anomaly equations
    • Calabi-Yau varieties and mirror symmetry, Toronto, 2001, [hep-th/0206206]
    • S. Hosono, Counting BPS states via holomorphic anomaly equations, in Calabi-Yau varieties and mirror symmetry, Toronto, 2001, Fields Inst. Commun. 38 (2003) 57 [hep-th/0206206].
    • (2003) Fields Inst. Commun. , vol.38 , pp. 57
    • Hosono, S.1
  • 115
    • 0001300909 scopus 로고    scopus 로고
    • Dual string pairs with N=1 and N=2 supersymmetry in four dimensions
    • hep-th/9507050
    • C. Vafa and K. Witten, Dual string pairs with N=1 and N=2 supersymmetry in four dimensions, Nucl. Phys. 46 (Proc. Suppl.) (1996) 225 [hep-th/9507050].
    • (1996) Nucl. Phys. , vol.46 , Issue.PROC. SUPPL. , pp. 225
    • Vafa, C.1    Witten, K.2
  • 116
    • 0002828122 scopus 로고
    • The quartic effective action for the heterotic string
    • D.J. Gross and J.H. Sloan, The quartic effective action for the heterotic string, Nucl. Phys. B 291 (1987) 41.
    • (1987) Nucl. Phys. B , vol.291 , pp. 41
    • Gross, D.J.1    Sloan, J.H.2
  • 117
    • 0031565528 scopus 로고    scopus 로고
    • New branches of string compactifications and their F-theory duals
    • hep-th/9607121
    • G. Aldazabal, A. Font, L.K. Ibáñez and A.M. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B 492 (1997) 119 [hep-th/9607121].
    • (1997) Nucl. Phys. B , vol.492 , pp. 119
    • Aldazabal, G.1    Font, A.2    Ibáñez, L.K.3    Uranga, A.M.4
  • 118
    • 0002522033 scopus 로고
    • Chiral rings do not suffice: N (2,2) theories with nonzero fundamental group
    • hep-th/9406032
    • P.S. Aspinwall and D.R. Morrison, Chiral rings do not suffice: N (2,2) theories with nonzero fundamental group, Phys. Lett. B 334 (1994) 79 [hep-th/9406032].
    • (1994) Phys. Lett. B , vol.334 , pp. 79
    • Aspinwall, P.S.1    Morrison, D.R.2
  • 120
    • 0032559727 scopus 로고    scopus 로고
    • Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in grassmannians
    • alg-geom/9710022
    • V.V. Batyrev, I. Ciocan-Fontanino, B. Kim and D. van Straten, Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians, Nucl. Phys. B 514 (1998) 640 [alg-geom/9710022].
    • (1998) Nucl. Phys. B , vol.514 , pp. 640
    • Batyrev, V.V.1    Ciocan-Fontanino, I.2    Kim, B.3    Van Straten, D.4
  • 121
    • 84973998585 scopus 로고
    • A finiteness theorem for elliptic Calabi-Yau threefolds
    • alg-geom/9305002
    • M. Gross, A finiteness theorem for elliptic Calabi-Yau threefolds, Duke Math. J. 74 (1994) 271 [alg-geom/9305002].
    • (1994) Duke Math. J. , vol.74 , pp. 271
    • Gross, M.1
  • 123
    • 0011561322 scopus 로고
    • All hodge numbers of all complete intersection Calabi- Yau manifolds
    • P.S. Green, T. Hubsch and C.A. Lutken. All hodge numbers of all complete intersection Calabi- Yau manifolds, Class, and Quant. Grav. 6 (1989) 105.
    • (1989) Class, and Quant. Grav. , vol.6 , pp. 105
    • Green, P.S.1    Hubsch, T.2    Lutken, C.A.3
  • 124
    • 21444442269 scopus 로고    scopus 로고
    • http://thew02.physik.uni-bonn.de/~netah/cy.html.
  • 125
    • 0032472555 scopus 로고    scopus 로고
    • Duality between the webs of heterotic and type-II vacua
    • hep-th/9603170
    • P. Candelas and A. Font, Duality between the webs of heterotic and type-II vacua, Nucl. Phys. B 511 (1998) 295 [hep-th/9603170].
    • (1998) Nucl. Phys. B , vol.511 , pp. 295
    • Candelas, P.1    Font, A.2
  • 126
    • 0030570685 scopus 로고    scopus 로고
    • Compactifications of F-theory on Calabi-Yau threefolds, I
    • hep-th/9602114
    • D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds, I, Nucl. Phys. B 473 (1996) 74 [hep-th/9602114].
    • (1996) Nucl. Phys. B , vol.473 , pp. 74
    • Morrison, D.R.1    Vafa, C.2
  • 127
    • 0001818635 scopus 로고
    • Spectra and symmetrics of gepner models compared to Calabi-Yau compactifications
    • J. Fuchs, A. Klemm, C. Scheich and M.G. Schmidt, Spectra and symmetrics of gepner models compared to Calabi-Yau compactifications, Ann. Phys. (NY) 204 (1990) 1.
    • (1990) Ann. Phys. (NY) , vol.204 , pp. 1
    • Fuchs, J.1    Klemm, A.2    Scheich, C.3    Schmidt, M.G.4
  • 128
    • 0001165006 scopus 로고
    • Mirror symmetry for two parameter models, 2
    • hep-th/9403187
    • P. Candolas, A. Font, S. Katz and D.R. Morrison, Mirror symmetry for two parameter models, 2, Nucl. Phys. B 429 (1994) 626 [hep-th/9403187].
    • (1994) Nucl. Phys. B , vol.429 , pp. 626
    • Candolas, P.1    Font, A.2    Katz, S.3    Morrison, D.R.4
  • 130
    • 33744844257 scopus 로고    scopus 로고
    • Phases of supersymmetric D-branes on kaehler manifolds and the McKay correspondence
    • hep-th/0010223
    • P. Mayr, Phases of supersymmetric D-branes on kaehler manifolds and the McKay correspondence, JHEP 01 (2001) 018 [hep-th/0010223].
    • (2001) JHEP , vol.1 , pp. 018
    • Mayr, P.1


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