메뉴 건너뛰기




Volumn 2012, Issue 11, 2012, Pages

Nonabelian 2D gauge theories for determinantal Calabi-Yau varieties

Author keywords

Superstring Vacua; Supersymmetry and Duality

Indexed keywords


EID: 84873322265     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2012)166     Document Type: Article
Times cited : (68)

References (48)
  • 1
    • 0010022959 scopus 로고
    • Phases of N = 2 theories in two-dimensions
    • 1232617 1993NuPhB.403.159W 10.1016/0550-3213(93)90033-L [hep-th/9301042] [INSPIRE]
    • E. Witten, Phases of N = 2 theories in two-dimensions, Nucl. Phys. B 403 (1993) 159 [ hep-th/9301042 ] [ INSPIRE ].
    • (1993) Nucl. Phys. , vol.403 , pp. 159
    • Witten, E.1
  • 2
    • 33646072591 scopus 로고
    • Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties
    • 1336089 1995NuPhB.440.279M 10.1016/0550-3213(95)00061-V [hep-th/9412236] [INSPIRE]
    • D.R. Morrison and M.R. Plesser, Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties, Nucl. Phys. B 440 (1995) 279 [ hep-th/9412236 ] [ INSPIRE ].
    • (1995) Nucl. Phys. , vol.440 , pp. 279
    • Morrison, D.R.1    Plesser, M.R.2
  • 4
    • 0000776599 scopus 로고
    • Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3
    • 453723 0373.13006 10.2307/2373926
    • D.A. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3, Am. J. Math. 99 (1977) 447.
    • (1977) Am. J. Math. , vol.99 , pp. 447
    • Buchsbaum, D.A.1    Eisenbud, D.2
  • 5
    • 51249164839 scopus 로고
    • N
    • 1291131 0828.14032 10.1007/BF02567467
    • N, Manuscripta Math. 84 (1994) 421.
    • (1994) Manuscripta Math. , vol.84 , pp. 421
    • Okonek, C.1
  • 6
    • 0030519039 scopus 로고    scopus 로고
    • Pfaffian subschemes
    • 1486985 0864.14032 [alg-geom/9406005]
    • C.H. Walter, Pfaffian subschemes, J. Algebraic Geom. 5 (1996) 671 [ alg-geom/9406005 ].
    • (1996) J. Algebraic Geom , vol.5 , pp. 671
    • Walter, C.H.1
  • 7
    • 1642633938 scopus 로고    scopus 로고
    • 6
    • 2047696 1060.14060 10.1090/S1056-3911-03-00371-0
    • 6, J. Algebraic Geom. 13 (2004) 209.
    • (2004) J. Algebraic Geom. , vol.13 , pp. 209
    • Tonoli, F.1
  • 8
    • 0007423006 scopus 로고
    • Structure theory for a class of grade four Gorenstein ideals
    • 642342 0495.13005 10.1090/S0002-9947-1982-0642342-4
    • A. Kustin and M. Miller, Structure theory for a class of grade four Gorenstein ideals, Trans. Amer. Math. Soc. 270 (1982) 287.
    • (1982) Trans. Amer. Math. Soc. , vol.270 , pp. 287
    • Kustin, A.1    Miller, M.2
  • 9
    • 0002425961 scopus 로고
    • Un complexe résolvant pour certains idéaux déterminantiels
    • 296063
    • T.H. Gulliksen and O.G. Negard, Un complexe résolvant pour certains idéaux déterminantiels, C. R. Acad. Sci. Paris Sér. A-B 274 (1972) A16.
    • (1972) C. R. Acad. Sci. Paris Sér. A-B , vol.274 , pp. 16
    • Gulliksen, T.H.1    Negard, O.G.2
  • 11
    • 34547594323 scopus 로고    scopus 로고
    • Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N =(2,2) Theories
    • 2318130 2007JHEP.05.079H 10.1088/1126-6708/2007/05/079 [hep-th/0609032] [INSPIRE]
    • K. Hori and D. Tong, Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N =(2,2) Theories, JHEP 05(2007) 079 [ hep-th/0609032 ] [INSPIRE].
    • (2007) JHEP , vol.5 , pp. 079
    • Hori, K.1    Tong, D.2
  • 12
    • 0041638559 scopus 로고    scopus 로고
    • The Pfaffian Calabi-Yau, its Mirror and their link to the Grassmannian G(2, 7)
    • [ math/9801092 ]
    • E.A. Rødland, The Pfaffian Calabi-Yau, its Mirror and their link to the Grassmannian G(2, 7), Compositio Math. 122 (2000) [ math/9801092 ].
    • (2000) Compositio Math. , vol.122
    • Rødland, E.A.1
  • 15
    • 55549092736 scopus 로고    scopus 로고
    • GLSM's for partial flag manifolds
    • 2468445 2008JGP.58.1662D 1218.81091 10.1016/j.geomphys.2008.07.010 [arXiv:0704.1761] [INSPIRE]
    • R. Donagi and E. Sharpe, GLSM's for partial flag manifolds, J. Geom. Phys. 58 (2008) 1662 [ arXiv:0704.1761 ] [ INSPIRE ].
    • (2008) J. Geom. Phys. , vol.58 , pp. 1662
    • Donagi, R.1    Sharpe, E.2
  • 17
    • 84889685920 scopus 로고    scopus 로고
    • Phases of non-abelian gauged linear sigma models, lectures given at Workshop on Noncommutative Algebraic Geometry and D-branes
    • 12-16 December
    • K. Hori and J. Knapp, Phases of non-abelian gauged linear sigma models, lectures given at Workshop on Noncommutative Algebraic Geometry and D-branes, Simons Center for Geometry and Physics, 12-16 December 2011.
    • (2011) Simons Center for Geometry and Physics
    • Hori, K.1    Knapp, J.2
  • 21
    • 0039760322 scopus 로고
    • Electric-magnetic duality in supersymmetric nonAbelian gauge theories
    • 1314365 1995NuPhB.435.129S 10.1016/0550-3213(94)00023-8 [hep-th/9411149] [INSPIRE]
    • N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [ hep-th/9411149 ] [ INSPIRE ].
    • (1995) Nucl. Phys. , vol.435 , pp. 129
    • Seiberg, N.1
  • 22
    • 0001788692 scopus 로고
    • 4 with 15,000 symmetries
    • 382279 0255.14017 10.1016/0040-9383(73)90022-0
    • 4 with 15,000 symmetries, Topology 12 (1973) 63.
    • (1973) Topology , vol.12 , pp. 63
    • Horrocks, G.1    Mumford, D.2
  • 23
    • 23044502382 scopus 로고
    • On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle
    • 817640 0568.14022
    • C. Schoen, On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle, J. Reine Angew. Math. 364 (1986) 85.
    • (1986) J. Reine Angew. Math. , vol.364 , pp. 85
    • Schoen, C.1
  • 25
    • 0003314349 scopus 로고
    • Intersection theory
    • Springer-Verlag, Berlin, Germany
    • W. Fulton, Intersection theory, Ergeb. Math. Grenzgeb. 2 Springer-Verlag, Berlin, Germany (1984).
    • (1984) Ergeb. Math. Grenzgeb. , vol.2
    • Fulton, W.1
  • 28
    • 0001461975 scopus 로고
    • Classification problems in differential topology. V. on certain 6-manifolds
    • 1966InMat.1.355W 10.1007/BF01389738 [Corrigendum ibid. 2 (1966) 306]
    • C.T.C. Wall, Classification problems in differential topology. V. On certain 6-manifolds, Invent. Math. 1 (1966), 355 [Corrigendum ibid. 2 (1966) 306].
    • (1966) Invent. Math. , vol.1 , pp. 355
    • Wall, C.T.C.1
  • 30
    • 84971120672 scopus 로고
    • On ideals of finite homological dimension in local rings
    • 229634 1968PCPS.64.941B 0172.32302 10.1017/S0305004100043620
    • L. Burch, On ideals of finite homological dimension in local rings, Proc. Cambridge Philos. Soc. 64 (1968) 941.
    • (1968) Proc. Cambridge Philos. Soc. , vol.64 , pp. 941
    • Burch, L.1
  • 31
    • 84889675163 scopus 로고    scopus 로고
    • 5
    • N.J. Hitchin, P. E.Newstead and W.M. Oxbury eds., London Math. Soc. Lecture Note Ser. volume 208, Cambridge University Press, Cambridge U.K (1995) [ alg-geom/9402006 ]
    • 5, in Vector bundles in algebraic geometry, N.J. Hitchin, P. E.Newstead and W.M. Oxbury eds., London Math. Soc. Lecture Note Ser. volume 208, Cambridge University Press, Cambridge U.K (1995) [ alg-geom/9402006 ].
    • Vector Bundles in Algebraic Geometry
    • Decker, W.1    Popescu, S.2
  • 33
    • 0004249123 scopus 로고
    • (Translated from the German by R.C. Laubenbacher), Cambridge University Press, Cambridge, U.K.
    • D. Hilbert, Theory of algebraic invariants (Translated from the German by R.C. Laubenbacher), Cambridge University Press, Cambridge, U.K. (1993).
    • (1993) Theory of Algebraic Invariants
    • Hilbert, D.1
  • 34
    • 0009322069 scopus 로고
    • Constraints on Supersymmetry Breaking
    • 668987 1982NuPhB.202.253W 10.1016/0550-3213(82)90071-2 [INSPIRE]
    • E. Witten, Constraints on Supersymmetry Breaking, Nucl. Phys. B 202 (1982) 253 [ INSPIRE ].
    • (1982) Nucl. Phys. , vol.202 , pp. 253
    • Witten, E.1
  • 35
    • 12844256958 scopus 로고    scopus 로고
    • Flops, Type III contractions and Gromov-Witten invariants on Calabi-Yau threefolds
    • K. Hulek, M. Reid, C. Peters and F. Catanese eds., London Math. Soc. Lecture Note Ser. volume 264, Cambridge University Press, Cambridge, U.K. (1999) [ alg-geom/9707008 ]
    • P.M.H. Wilson, Flops, Type III contractions and Gromov-Witten invariants on Calabi-Yau threefolds, in New trends in algebraic geometry, K. Hulek, M. Reid, C. Peters and F. Catanese eds., London Math. Soc. Lecture Note Ser. volume 264, Cambridge University Press, Cambridge, U.K. (1999) [ alg-geom/9707008 ].
    • New Trends in Algebraic Geometry
    • Wilson, P.M.H.1
  • 36
    • 76349089303 scopus 로고    scopus 로고
    • Non-birational twisted derived equivalences in abelian GLSMs
    • 2010CMaPh.294.605C 1231.14035 10.1007/s00220-009-0974-2 [arXiv:0709.3855] [INSPIRE]
    • A. Cǎldǎraru, J. Distler, S. Hellerman, T. Pantev and E. Sharpe, Non-birational twisted derived equivalences in abelian GLSMs, Commun. Math. Phys. 294 (2010) 605 [ arXiv:0709.3855 ] [INSPIRE].
    • (2010) Commun. Math. Phys. , vol.294 , pp. 605
    • Cǎldǎraru, A.1    Distler, J.2    Hellerman, S.3    Pantev, T.4    Sharpe, E.5
  • 37
    • 0000986417 scopus 로고
    • Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
    • 1269718 0829.14023 [alg-geom/9310003]
    • V.V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Algebraic Geom. 3 (1994) 493 [ alg-geom/9310003 ].
    • (1994) J. Algebraic Geom. , vol.3 , pp. 493
    • Batyrev, V.V.1
  • 40
    • 0032559727 scopus 로고    scopus 로고
    • Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians
    • 1998NuPhB.514.640B 10.1016/S0550-3213(98)00020-0 [alg-geom/9710022] [INSPIRE]
    • V. Batyrev, I. Ciocan-Fontanine, 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 ] [ INSPIRE ].
    • (1998) Nucl. Phys , vol.514 , pp. 640
    • Batyrev, V.1    Ciocan-Fontanine, I.2    Kim, B.3    Van Straten, D.4
  • 41
    • 0002176646 scopus 로고    scopus 로고
    • Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds
    • 1756568 1022.14014 10.1007/BF02392780 [math/9803108]
    • V.V. Batyrev, I. Ciocan-Fontanine, B. Kim and D. van Straten, Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds, Acta Math. 184 (2000) 1 [ math/9803108 ].
    • (2000) Acta Math. , vol.184 , pp. 1
    • Batyrev, V.V.1    Ciocan-Fontanine, I.2    Kim, B.3    Van Straten, D.4
  • 44
    • 16144367751 scopus 로고    scopus 로고
    • Towards mirror symmetry as duality for two dimensional Abelian gauge theories
    • DOI 10.1016/0920-5632(96)00020-5, PII S0920563296000205
    • D.R. Morrison and M.R. Plesser, Towards mirror symmetry as duality for two-dimensional abelian gauge theories, Nucl. Phys. Proc. Suppl. 46 (1996) 177 [ hep-th/9508107 ] [ INSPIRE ]. (Pubitemid 126167920)
    • (1996) Nuclear Physics B - Proceedings Supplements , vol.46 , Issue.1-3 , pp. 177-186
    • Morrison, D.R.1    Plesser, M.R.2
  • 47
    • 70350001623 scopus 로고    scopus 로고
    • Higher genus Gromov-Witten invariants of the Grassmannian and the Pfaffian Calabi-Yau threefolds
    • [ arXiv:0704.2928 ] [ INSPIRE ]
    • S. Hosono and Y. Konishi, Higher genus Gromov-Witten invariants of the Grassmannian and the Pfaffian Calabi-Yau threefolds, Adv. Theor. Math. Phys. 13 (2009) [ arXiv:0704.2928 ] [ INSPIRE ].
    • (2009) Adv. Theor. Math. Phys. , vol.13
    • Hosono, S.1    Konishi, Y.2
  • 48
    • 80053114980 scopus 로고    scopus 로고
    • Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
    • 2821115 2011JHEP.03.083S 10.1007/JHEP03(2011)083 [arXiv:1011.2350] [INSPIRE]
    • M. Shimizu and H. Suzuki, Open mirror symmetry for Pfaffian Calabi-Yau 3-folds, JHEP 03 (2011) 083 [ arXiv:1011.2350 ] [ INSPIRE ].
    • (2011) JHEP , vol.3 , pp. 083
    • Shimizu, M.1    Suzuki, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.