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Volumn 2012, Issue 6, 2012, Pages

U(n) spectral covers from decomposition

Author keywords

F Theory; String duality; Superstring vacua; Superstrings and heterotic strings

Indexed keywords


EID: 84864367640     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2012)009     Document Type: Article
Times cited : (10)

References (69)
  • 2
    • 0031549243 scopus 로고    scopus 로고
    • Vector bundles and F-theory
    • [hep-th/9701162] [INSPIRE]
    • R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory, Commun. Math. Phys. 187 (1997) 679 [hep-th/9701162] [INSPIRE].
    • (1997) Commun. Math. Phys. , vol.187 , pp. 679
    • Friedman, R.1    Morgan, J.2    Witten, E.3
  • 3
    • 0001255460 scopus 로고    scopus 로고
    • Principal bundles on elliptic fibrations
    • [alg-geom/9702002] [INSPIRE]
    • R.Y. Donagi, Principal bundles on elliptic fibrations, Asian J. Math 1 (1997) 214 [alg-geom/9702002] [INSPIRE].
    • (1997) Asian J. Math 1 , pp. 214
    • Donagi, R.Y.1
  • 4
    • 0032219313 scopus 로고    scopus 로고
    • Principal G bundles over elliptic curves
    • [alg-geom/9707004] [INSPIRE]
    • R. Friedman, J.W. Morgan and E. Witten, Principal G bundles over elliptic curves, Math. Res. Lett. 5 (1998) 97 [alg-geom/9707004] [INSPIRE].
    • (1998) Math. Res. Lett. , vol.5 , pp. 97
    • Friedman, R.1    Morgan, J.W.2    Witten, E.3
  • 5
    • 0031563994 scopus 로고    scopus 로고
    • On four-dimensional compactifications of F-theory
    • [hep-th/9701165] [INSPIRE]
    • M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, On four-dimensional compactifications of F-theory, Nucl. Phys. B 505 (1997) 165 [hep-th/9701165] [INSPIRE].
    • (1997) Nucl. Phys. B , vol.505 , pp. 165
    • Bershadsky, M.1    Johansen, A.2    Pantev, T.3    Sadov, V.4
  • 6
    • 22144483482 scopus 로고    scopus 로고
    • Loop-corrected compactifications of the heterotic string with line bundles
    • [hep-th/0504232] [INSPIRE]
    • R. Blumenhagen, G. Honecker and T. Weigand, Loop-corrected compactifications of the heterotic string with line bundles, JHEP 06 (2005) 020 [hep-th/0504232] [INSPIRE].
    • (2005) JHEP , vol.6 , pp. 020
    • Blumenhagen, R.1    Honecker, G.2    Weigand, T.3
  • 7
    • 33744902102 scopus 로고    scopus 로고
    • Proton decay, Yukawa couplings and underlying gauge symmetry in string theory
    • [hep-th/0602238] [INSPIRE]
    • R. Tatar and T. Watari, Proton decay, Yukawa couplings and underlying gauge symmetry in string theory, Nucl. Phys. B 747 (2006) 212 [hep-th/0602238] [INSPIRE].
    • (2006) Nucl. Phys. B , vol.747 , pp. 212
    • Tatar, R.1    Watari, T.2
  • 9
    • 77954964973 scopus 로고    scopus 로고
    • F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy
    • [arXiv:0904.1419] [INSPIRE]
    • V. Bouchard, J.J. Heckman, J. Seo and C. Vafa, F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy, JHEP 01 (2010) 061 [arXiv:0904.1419] [INSPIRE].
    • (2010) JHEP , vol.1 , pp. 061
    • Bouchard, V.1    Heckman, J.J.2    Seo, J.3    Vafa, C.4
  • 10
    • 84856390998 scopus 로고    scopus 로고
    • 8 in F-theory GUTs
    • [arXiv:0906.0581] [INSPIRE]
    • 8 in F-theory GUTs, JHEP 08 (2010) 040 [arXiv:0906.0581] [INSPIRE].
    • (2010) JHEP , vol.8 , pp. 040
    • Heckman, J.J.1    Tavanfar, A.2    Vafa, C.3
  • 11
    • 69649088890 scopus 로고    scopus 로고
    • Right-handed neutrinos in F-theory compactifications
    • [arXiv:0905.2289] [INSPIRE]
    • R. Tatar, Y. Tsuchiya and T. Watari, Right-handed Neutrinos in F-theory Compactifications, Nucl. Phys. B 823 (2009) 1 [arXiv:0905.2289] [INSPIRE].
    • (2009) Nucl. Phys. B , vol.823 , pp. 1
    • Tatar, R.1    Tsuchiya, Y.2    Watari, T.3
  • 12
    • 70350031081 scopus 로고    scopus 로고
    • Monodromies fluxes and compact three-generation F-theory GUTs
    • [arXiv:0906.4672] [INSPIRE]
    • J. Marsano, N. Saulina and S. Schäfer-Nameki, Monodromies, Fluxes and Compact Three-Generation F-theory GUTs, JHEP 08 (2009) 046 [arXiv:0906.4672] [INSPIRE].
    • (2009) JHEP , vol.8 , pp. 046
    • Marsano, J.1    Saulina, N.2    Schäfer-Nameki, S.3
  • 13
    • 70350044788 scopus 로고    scopus 로고
    • F-theory GUTs and the weak scale
    • [arXiv:0809.1098] [INSPIRE]
    • J.J. Heckman and C. Vafa, F-theory, GUTs and the Weak Scale, JHEP 09 (2009) 079 [arXiv:0809.1098] [INSPIRE].
    • (2009) JHEP , vol.9 , pp. 079
    • Heckman, J.J.1    Vafa, C.2
  • 15
    • 77954142244 scopus 로고    scopus 로고
    • Compact F-theory GUTs with U(1) (PQ)
    • [arXiv:0912.0272] [INSPIRE]
    • J. Marsano, N. Saulina and S. Schäfer-Nameki, Compact F-theory GUTs with U(1) (PQ), JHEP 04 (2010) 095 [arXiv:0912.0272] [INSPIRE].
    • (2010) JHEP , vol.4 , pp. 095
    • Marsano, J.1    Saulina, N.2    Schäfer-Nameki, S.3
  • 16
    • 79960826177 scopus 로고    scopus 로고
    • The potential fate of local model building
    • [arXiv:1101.3346] [INSPIRE]
    • C. Lüdeling, H.P. Nilles and C.C. Stephan, The Potential Fate of Local Model Building, Phys. Rev. D 83 (2011) 086008 [arXiv:1101.3346] [INSPIRE].
    • (2011) Phys. Rev. D , vol.83 , pp. 086008
    • Lüdeling, C.1    Nilles, H.P.2    Stephan, C.C.3
  • 18
    • 77956875594 scopus 로고    scopus 로고
    • Towards the MSSM from F-theory
    • [arXiv:1003.2126] [INSPIRE]
    • K.-S. Choi and T. Kobayashi, Towards the MSSM from F-theory, Phys. Lett. B 693 (2010) 330 [arXiv:1003.2126] [INSPIRE].
    • (2010) Phys. Lett. B , vol.693 , pp. 330
    • Choi, K.-S.1    Kobayashi, T.2
  • 19
    • 77957021602 scopus 로고    scopus 로고
    • SU(3) × SU(2) × U(1) Vacua in F-theory
    • [arXiv:1007.3843] [INSPIRE]
    • K.-S. Choi, SU(3) × SU(2) × U(1) Vacua in F-theory, Nucl. Phys. B 842 (2011) 1 [arXiv:1007.3843] [INSPIRE].
    • (2011) Nucl. Phys. B , vol.842 , pp. 1
    • Choi, K.-S.1
  • 20
    • 75149161860 scopus 로고    scopus 로고
    • Flipped SU(5) × U(1)(X) Models from F-theory
    • [arXiv:0905.3394] [INSPIRE]
    • J. Jiang, T. Li, D.V. Nanopoulos and D. Xie, Flipped SU(5) × U(1)(X) Models from F-theory, Nucl. Phys. B 830 (2010) 195 [arXiv:0905.3394] [INSPIRE].
    • (2010) Nucl. Phys. B , vol.830 , pp. 195
    • Jiang, J.1    Li, T.2    Nanopoulos, D.V.3    Xie, D.4
  • 21
    • 77954142258 scopus 로고    scopus 로고
    • Family symmetries in F-theory GUTs
    • [arXiv:1005.1025] [INSPIRE]
    • S. King, G. Leontaris and G. Ross, Family symmetries in F-theory GUTs, Nucl. Phys. B 838 (2010) 119 [arXiv:1005.1025] [INSPIRE].
    • (2010) Nucl. Phys. B , vol.838 , pp. 119
    • King, S.1    Leontaris, G.2    Ross, G.3
  • 22
    • 80052775810 scopus 로고    scopus 로고
    • 8 singularities in F-theory
    • [arXiv:1005.5728] [INSPIRE]
    • 8 Singularities in F-theory, JHEP 03 (2011) 049 [arXiv:1005.5728] [INSPIRE].
    • (2011) JHEP , vol.3 , pp. 049
    • Chen, C.-M.1    Chung, Y.-C.2
  • 23
    • 80053118653 scopus 로고    scopus 로고
    • Comments on Flipped SU(5) (and F-theory)
    • [arXiv:1009.2510] [INSPIRE]
    • E. Kuflik and J. Marsano, Comments on Flipped SU(5) (and F-theory), JHEP 03 (2011) 020 [arXiv:1009.2510] [INSPIRE].
    • (2011) JHEP , vol.3 , pp. 020
    • Kuflik, E.1    Marsano, J.2
  • 24
    • 82455162548 scopus 로고    scopus 로고
    • Weak mixing angle and proton stability in F-theory GUT
    • [arXiv:1102.0591] [INSPIRE]
    • K.-S. Choi and B. Kyae, Weak Mixing Angle and Proton Stability in F-theory GUT, Nucl. Phys. B 855 (2012) 1 [arXiv:1102.0591] [INSPIRE].
    • (2012) Nucl. Phys. B , vol.855 , pp. 1
    • Choi, K.-S.1    Kyae, B.2
  • 25
    • 77955665449 scopus 로고    scopus 로고
    • More on dimension-4 proton decay problem in f-theory - Spectral surface, discriminant locus and monodromy
    • [arXiv:1004.3870] [INSPIRE]
    • H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, More on Dimension-4 Proton Decay Problem in F-theory - Spectral Surface, Discriminant Locus and Monodromy, Nucl. Phys. B 840 (2010) 304 [arXiv:1004.3870] [INSPIRE].
    • (2010) Nucl. Phys. B , vol.840 , pp. 304
    • Hayashi, H.1    Kawano, T.2    Tsuchiya, Y.3    Watari, T.4
  • 26
    • 0030591389 scopus 로고    scopus 로고
    • Evidence for F-theory
    • [hep-th/9602022] [INSPIRE]
    • C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022] [INSPIRE].
    • (1996) Nucl. Phys. B , vol.469 , pp. 403
    • Vafa, C.1
  • 27
    • 0030570685 scopus 로고    scopus 로고
    • Compactifications of F-theory on Calabi-Yau threefolds. 1
    • [hep-th/9602114] [INSPIRE]
    • D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds. 1., Nucl. Phys. B 473 (1996) 74 [hep-th/9602114] [INSPIRE].
    • (1996) Nucl. Phys. B , vol.473 , pp. 74
    • Morrison, D.R.1    Vafa, C.2
  • 28
    • 0030607092 scopus 로고    scopus 로고
    • Compactifications of F-theory on Calabi-Yau threefolds. 2
    • [hep-th/9603161] [INSPIRE]
    • D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds. 2., Nucl. Phys. B 476 (1996) 437 [hep-th/9603161] [INSPIRE].
    • (1996) Nucl. Phys. B , vol.476 , pp. 437
    • Morrison, D.R.1    Vafa, C.2
  • 30
    • 80053099985 scopus 로고    scopus 로고
    • Tate's algorithm and F-theory
    • [arXiv:1106.3854] [INSPIRE]
    • S. Katz, D.R. Morrison, S. Schäfer-Nameki and J. Sully, Tate's algorithm and F-theory, JHEP 08 (2011) 094 [arXiv:1106.3854] [INSPIRE].
    • (2011) JHEP , vol.8 , pp. 094
    • Katz, S.1    Morrison, D.R.2    Schäfer-Nameki, S.3    Sully, J.4
  • 31
    • 33645950794 scopus 로고    scopus 로고
    • M-theory, orientifolds and G-flux
    • [hep-th/9908088] [INSPIRE]
    • K. Dasgupta, G. Rajesh and S. Sethi, M-theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [INSPIRE].
    • (1999) JHEP , vol.8 , pp. 023
    • Dasgupta, K.1    Rajesh, G.2    Sethi, S.3
  • 32
    • 77955011450 scopus 로고    scopus 로고
    • F-theory GUT vacua on compact Calabi-Yau fourfolds
    • [arXiv:0912.3524] [INSPIRE]
    • T.W. Grimm, S. Krause and T. Weigand, F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds, JHEP 07 (2010) 037 [arXiv:0912.3524] [INSPIRE].
    • (2010) JHEP , vol.7 , pp. 037
    • Grimm, T.W.1    Krause, S.2    Weigand, T.3
  • 33
    • 80052738311 scopus 로고    scopus 로고
    • Toric construction of global F-theory GUTs
    • [arXiv:1101.4908] [INSPIRE]
    • J. Knapp, M. Kreuzer, C. Mayrhofer and N.-O. Walliser, Toric Construction of Global F-theory GUTs, JHEP 03 (2011) 138 [arXiv:1101.4908] [INSPIRE].
    • (2011) JHEP , vol.3 , pp. 138
    • Knapp, J.1    Kreuzer, M.2    Mayrhofer, C.3    Walliser, N.-O.4
  • 34
    • 70350047033 scopus 로고    scopus 로고
    • F-theory compactifications for supersymmetric GUTs
    • [arXiv:0904.3932]
    • J. Marsano, N. Saulina and S. Schäfer-Nameki, F-theory compactifications for supersymmetric GUTs, JHEP 08 (2009) 030 [arXiv:0904.3932].
    • (2009) JHEP , vol.8 , pp. 030
    • Marsano, J.1    Saulina, N.2    Schäfer-Nameki, S.3
  • 36
    • 78650992949 scopus 로고    scopus 로고
    • On abelian gauge symmetries and proton decay in global F-theory GUTs
    • [arXiv:1006.0226] [INSPIRE]
    • T.W. Grimm and T. Weigand, On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs, Phys. Rev. D 82 (2010) 086009 [arXiv:1006.0226] [INSPIRE].
    • (2010) Phys. Rev. D , vol.82 , pp. 086009
    • Grimm, T.W.1    Weigand, T.2
  • 37
    • 84255198108 scopus 로고    scopus 로고
    • Massive abelian gauge symmetries and fluxes in F-theory
    • [arXiv:1107.3842] [INSPIRE]
    • T.W. Grimm, M. Kerstan, E. Palti and T. Weigand, Massive Abelian Gauge Symmetries and Fluxes in F-theory, JHEP 12 (2011) 004 [arXiv:1107.3842] [INSPIRE].
    • (2011) JHEP , vol.12 , pp. 004
    • Grimm, T.W.1    Kerstan, M.2    Palti, E.3    Weigand, T.4
  • 38
    • 77955875015 scopus 로고    scopus 로고
    • Flavor structure in F-theory compactifications
    • [arXiv:0910.2762] [INSPIRE]
    • H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor Structure in F-theory Compactifications, JHEP 08 (2010) 036 [arXiv:0910.2762] [INSPIRE].
    • (2010) JHEP , vol.8 , pp. 036
    • Hayashi, H.1    Kawano, T.2    Tsuchiya, Y.3    Watari, T.4
  • 39
    • 84856474085 scopus 로고    scopus 로고
    • Constraints on GUT 7-brane Topology in F-theory
    • [arXiv:1112.2032] [INSPIRE]
    • H. Hayashi, T. Kawano and T. Watari, Constraints on GUT 7-brane Topology in F-theory, Phys. Lett. B 708 (2012) 191 [arXiv:1112.2032] [INSPIRE].
    • (2012) Phys. Lett. B , vol.708 , pp. 191
    • Hayashi, H.1    Kawano, T.2    Watari, T.3
  • 40
    • 84959800477 scopus 로고
    • Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles
    • [INSPIRE]
    • S. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. Lond. Math. Soc. 50 (1985) 1 [INSPIRE].
    • (1985) Proc. Lond. Math. Soc. , vol.50 , pp. 1
    • Donaldson, S.1
  • 41
    • 84990564772 scopus 로고
    • On the existence of Hermitian Yang-Mills connections in stable vector bundles
    • K.K. Uhlenbeck and S.T. Yau, On the existence of hermitian Yang-Mills connections in stable vector bundles, Commun. Pure Appl. Math. 39 (1986) 257.
    • (1986) Commun. Pure Appl. Math. , vol.39 , pp. 257
    • Uhlenbeck, K.K.1    Yau, S.T.2
  • 42
    • 84972561504 scopus 로고
    • Sous-groupes commutatifs et torsion des groupes de lie compacts connexes
    • A. Borel, Sous-groupes Commutatifs et Torsion des Groupes de Lie Compacts Connexes, Tohoku Math. J. 13 (1961) 216. [http://projecteuclid.org/euclid.tmj/ 1178244298].
    • (1961) Tohoku Math. J. , vol.13 , pp. 216
    • Borel, A.1
  • 45
    • 0031582561 scopus 로고    scopus 로고
    • Matter from geometry
    • [hep-th/9606086] [INSPIRE]
    • S. Katz and C. Vafa, Matter from geometry, Nucl. Phys. B 497 (1997) 146 [hep-th/9606086] [INSPIRE].
    • (1997) Nucl. Phys. B , vol.497 , pp. 146
    • Katz, S.1    Vafa, C.2
  • 46
    • 52749095043 scopus 로고    scopus 로고
    • New aspects of heterotic-F theory duality
    • [arXiv:0805.1057] [INSPIRE]
    • H. Hayashi, R. Tatar, Y. Toda, T. Watari and M. Yamazaki, New Aspects of Heterotic-F Theory Duality, Nucl. Phys. B 806 (2009) 224 [arXiv:0805.1057] [INSPIRE].
    • (2009) Nucl. Phys. B , vol.806 , pp. 224
    • Hayashi, H.1    Tatar, R.2    Toda, Y.3    Watari, T.4    Yamazaki, M.5
  • 48
    • 69649088766 scopus 로고    scopus 로고
    • Codimension-3 singularities and Yukawa couplings in F-theory
    • [arXiv:0901.4941] [INSPIRE]
    • H. Hayashi, T. Kawano, R. Tatar and T. Watari, Codimension-3 Singularities and Yukawa Couplings in F-theory, Nucl. Phys. B 823 (2009) 47 [arXiv:0901.4941] [INSPIRE].
    • (2009) Nucl. Phys. B , vol.823 , pp. 47
    • Hayashi, H.1    Kawano, T.2    Tatar, R.3    Watari, T.4
  • 49
    • 0001300909 scopus 로고    scopus 로고
    • Dual string pairs with N = 1 and N = 2 supersymmetry in four-dimensions
    • [hep-th/9507050] [INSPIRE]
    • C. Vafa and E. Witten, Dual string pairs with N = 1 and N = 2 supersymmetry in four-dimensions, Nucl. Phys. Proc. Suppl. 46 (1996) 225 [hep-th/9507050] [INSPIRE].
    • (1996) Nucl. Phys. Proc. Suppl. , vol.46 , pp. 225
    • Vafa, C.1    Witten, E.2
  • 50
    • 0002448675 scopus 로고    scopus 로고
    • Mirror symmetry and exact solution of 4 - D N = 2 gauge theories: 1
    • [hep-th/9706110] [INSPIRE]
    • S. Katz, P. Mayr and C. Vafa, Mirror symmetry and exact solution of 4 - D N = 2 gauge theories: 1., Adv. Theor. Math. Phys. 1 (1998) 53 [hep-th/9706110] [INSPIRE].
    • (1998) Adv. Theor. Math. Phys. , vol.1 , pp. 53
    • Katz, S.1    Mayr, P.2    Vafa, C.3
  • 52
    • 33645931372 scopus 로고    scopus 로고
    • Toric geometry and F-theory/heterotic duality in four dimensions
    • [hep-th/9811240] [INSPIRE]
    • G. Rajesh, Toric geometry and F-theory/heterotic duality in four dimensions, JHEP 12 (1998) 018 [hep-th/9811240] [INSPIRE].
    • (1998) JHEP , vol.12 , pp. 018
    • Rajesh, G.1
  • 53
    • 0032472555 scopus 로고    scopus 로고
    • Duality between the webs of heterotic and type-II vacua
    • [hep-th/9603170] [INSPIRE]
    • P. Candelas and A. Font, Duality between the webs of heterotic and type-II vacua, Nucl. Phys. B 511 (1998) 295 [hep-th/9603170] [INSPIRE].
    • (1998) Nucl. Phys. B , vol.511 , pp. 295
    • Candelas, P.1    Font, A.2
  • 54
    • 0031560464 scopus 로고    scopus 로고
    • Toric geometry and enhanced gauge symmetry of F-theory/heterotic vacua
    • [hep-th/9704097] [INSPIRE]
    • P. Candelas, E. Perevalov and G. Rajesh, Toric geometry and enhanced gauge symmetry of F-theory/heterotic vacua, Nucl. Phys. B 507 (1997) 445 [hep-th/9704097] [INSPIRE].
    • (1997) Nucl. Phys. B , vol.507 , pp. 445
    • Candelas, P.1    Perevalov, E.2    Rajesh, G.3
  • 55
    • 84856019498 scopus 로고    scopus 로고
    • 4-flux, chiral matter and singularity resolution in F-theory compactifications
    • [arXiv:1109.3454]
    • 4-flux, chiral matter and singularity resolution in F-theory compactifications, Nucl. Phys. B 858 (2012) 1 [arXiv:1109.3454].
    • (2012) Nucl. Phys. B , vol.858 , pp. 1
    • Krause, S.1    Mayrhofer, C.2    Weigand, T.3
  • 56
    • 84859594103 scopus 로고    scopus 로고
    • F-theory fluxes, chirality and Chern-Simons theories
    • [arXiv:1111.1232]
    • T.W. Grimm and H. Hayashi, F-theory fluxes, chirality and Chern-Simons theories, JHEP 3 (3012) 027 [arXiv:1111.1232].
    • JHEP , vol.3 , Issue.3012 , pp. 027
    • Grimm, T.W.1    Hayashi, H.2
  • 59
    • 84255161052 scopus 로고    scopus 로고
    • Yukawas G-flux and spectral covers from resolved Calabi-Yau's
    • [arXiv:1108.1794] [INSPIRE]
    • J. Marsano and S. Schäfer-Nameki, Yukawas, G-flux and Spectral Covers from Resolved Calabi-Yau's, JHEP 11 (2011) 098 [arXiv:1108.1794] [INSPIRE].
    • (2011) JHEP , vol.11 , pp. 098
    • Marsano, J.1    Schäfer-Nameki, S.2
  • 61
    • 0032507527 scopus 로고    scopus 로고
    • Moduli in N = 1 heterotic/F-theory duality
    • [hep-th/9801057] [INSPIRE]
    • G. Curio and R. Donagi, Moduli in N = 1 heterotic/F-theory duality, Nucl. Phys. B 518 (1998) 603 [hep-th/9801057] [INSPIRE].
    • (1998) Nucl. Phys. B , vol.518 , pp. 603
    • Curio, G.1    Donagi, R.2
  • 63
    • 85036550058 scopus 로고    scopus 로고
    • H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, unpublished
    • H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, unpublished.
  • 64
    • 79551569957 scopus 로고    scopus 로고
    • Uncovering infinite symmetries on [p q] 7-branes: Kac-Moody algebras and beyond
    • [hep-th/9812209] [INSPIRE]
    • O. DeWolfe, T. Hauer, A. Iqbal and B. Zwiebach, Uncovering infinite symmetries on [p, q] 7-branes: Kac-Moody algebras and beyond, Adv. Theor. Math. Phys. 3 (1999) 1835 [hep-th/9812209] [INSPIRE].
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 1835
    • Dewolfe, O.1    Hauer, T.2    Iqbal, A.3    Zwiebach, B.4
  • 65
    • 0040514867 scopus 로고    scopus 로고
    • A Comment on BPS states in F-theory in eight-dimensions
    • [hep-th/9608186] [INSPIRE]
    • A. Johansen, A Comment on BPS states in F-theory in eight-dimensions, Phys. Lett. B 395 (1997) 36 [hep-th/9608186] [INSPIRE].
    • (1997) Phys. Lett. B , vol.395 , pp. 36
    • Johansen, A.1
  • 66
    • 0032481963 scopus 로고    scopus 로고
    • Exceptional groups from open strings
    • [hep-th/9709013] [INSPIRE]
    • M.R. Gaberdiel and B. Zwiebach, Exceptional groups from open strings, Nucl. Phys. B 518 (1998) 151 [hep-th/9709013] [INSPIRE].
    • (1998) Nucl. Phys. B , vol.518 , pp. 151
    • Gaberdiel, M.R.1    Zwiebach, B.2
  • 68
    • 83555176036 scopus 로고    scopus 로고
    • G-flux in F-theory and algebraic cycles
    • [arXiv:1107.5337] [INSPIRE]
    • A.P. Braun, A. Collinucci and R. Valandro, G-flux in F-theory and algebraic cycles, Nucl. Phys. B 856 (2012) 129 [arXiv:1107.5337] [INSPIRE].
    • (2012) Nucl. Phys. B , vol.856 , pp. 129
    • Braun, A.P.1    Collinucci, A.2    Valandro, R.3
  • 69
    • 85036553267 scopus 로고    scopus 로고
    • K.-S Choi and H. Hayashi, in preparation
    • K.-S Choi and H. Hayashi, in preparation.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.