메뉴 건너뛰기




Volumn 10, Issue 1, 2006, Pages 123-158

T-duality for torus bundles with H-fluxes via noncommutative topology, II: The high-dimensional case and the T-duality group

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33748773503     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2006.v10.n1.a5     Document Type: Article
Times cited : (55)

References (48)
  • 2
    • 0348193020 scopus 로고    scopus 로고
    • Target space duality I: General theory
    • O. Alvarez, Target space duality I: general theory, Nucl. Phys. B584 (2000), 659-681.
    • (2000) Nucl. Phys. , vol.B584 , pp. 659-681
    • Alvarez, O.1
  • 3
    • 0000621629 scopus 로고    scopus 로고
    • Target space duality II: Applications
    • Target space duality II: applications, Nucl. Phys. B584 (2000), 682-704.
    • (2000) Nucl. Phys. , vol.B584 , pp. 682-704
  • 4
    • 0002872687 scopus 로고
    • Continuous cohomology, discrete subgroups, and representations of reductive groups
    • Princeton Univ. Press, Princeton, NJ
    • A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Ann. of Math. Studies, vol. 94, Princeton Univ. Press, Princeton, NJ, 1980.
    • (1980) Ann. of Math. Studies , vol.94
    • Borel, A.1    Wallach, N.2
  • 5
    • 79551530048 scopus 로고    scopus 로고
    • Math. Surveys and Monographs
    • second edition, Providence, RI
    • Second edition, Math. Surveys and Monographs, vol. 67, Amer. Math. Soc., Providence, RI, 2000.
    • (2000) Amer. Math. Soc. , vol.67
  • 6
    • 4344686932 scopus 로고    scopus 로고
    • T-duality: Topology change from H-flux
    • P. Bouwknegt, J. Evslin and V. Mathai, T-duality: topology change from H-flux, Comm. Math. Phys. 249(2) (2004), 383-415.
    • (2004) Comm. Math. Phys. , vol.249 , Issue.2 , pp. 383-415
    • Bouwknegt, P.1    Evslin, J.2    Mathai, V.3
  • 9
    • 6444237712 scopus 로고    scopus 로고
    • D-branes, B-fields and twisted K-theory
    • P. Bouwknegt and V. Mathai, D-branes, B-fields and twisted K-theory, J. High Energy Phys. 3 (2000), (7).
    • (2000) J. High Energy Phys. , vol.3 , Issue.7
    • Bouwknegt, P.1    Mathai, V.2
  • 10
    • 17244368479 scopus 로고    scopus 로고
    • On the topology of T-duality
    • U. Bunke and T. Schick, On the topology of T-duality, Rev. Math. Phys. 17(1) (2005), 77-112.
    • (2005) Rev. Math. Phys. , vol.17 , Issue.1 , pp. 77-112
    • Bunke, U.1    Schick, T.2
  • 12
    • 33646032229 scopus 로고
    • A symmetry of the string background field equations
    • T. Buscher, A symmetry of the string background field equations, Phys. Lett. B194 (1987), 59-62.
    • (1987) Phys. Lett. , vol.B194 , pp. 59-62
    • Buscher, T.1
  • 13
    • 33645928705 scopus 로고
    • Path integral derivation of quantum duality in nonlinear sigma models
    • T. Buscher, Path integral derivation of quantum duality in nonlinear sigma models, Phys. Lett. B201 (1988), 466-472.
    • (1988) Phys. Lett. , vol.B201 , pp. 466-472
    • Buscher, T.1
  • 14
    • 0002406227 scopus 로고
    • An analogue of the Thom isomorphism for crossed products of a C*-algebra by an action of R
    • A. Connes, An analogue of the Thom isomorphism for crossed products of a C*-algebra by an action of R, Adv. Math. 39(1) (1981), 31-55.
    • (1981) Adv. Math. , vol.39 , Issue.1 , pp. 31-55
    • Connes, A.1
  • 15
    • 0041524804 scopus 로고    scopus 로고
    • Noncommutative geometry and matrix theory: Compactification on tori
    • A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998), 3.
    • (1998) J. High Energy Phys. , vol.2 , pp. 3
    • Connes, A.1    Douglas, M.R.2    Schwarz, A.3
  • 16
    • 0031139165 scopus 로고    scopus 로고
    • An equivariant Brauer group and actions of groups on C*-algebras
    • D. Crocker, A. Kumjian, I. Raeburn and D.P. Williams, An equivariant Brauer group and actions of groups on C*-algebras, J. Funct. Anal. 146(1) (1997), 151-184.
    • (1997) J. Funct. Anal. , vol.146 , Issue.1 , pp. 151-184
    • Crocker, D.1    Kumjian, A.2    Raeburn, I.3    Williams, D.P.4
  • 17
    • 0003272374 scopus 로고
    • Representation of rings by sections
    • Am. Math. Soc., Providence, RI
    • J. Dauns and K.H. Hofmann, Representation of rings by sections, Mem. Am. Math. Soc., 83, Am. Math. Soc., Providence, RI, 1968.
    • (1968) Mem. Am. Math. Soc. , vol.83
    • Dauns, J.1    Hofmann, K.H.2
  • 18
    • 79551567356 scopus 로고    scopus 로고
    • 8 gauge theory, and a derivation of K-theory from M-theory
    • 2003
    • 8 gauge theory, and a derivation of K-theory from M-theory, Adv. Theor. Math. Phys. 6(6) (2002), 1031-1134 (2003).
    • (2002) Adv. Theor. Math. Phys. , vol.6 , Issue.6 , pp. 1031-1134
    • Diaconescu, D.1    Moore, G.2    Witten, E.3
  • 19
    • 0001395815 scopus 로고
    • Champs continus d'espaces hilbertiens et de C*-algèbres
    • J. Dixmier and A. Douady, Champs continus d'espaces hilbertiens et de C*-algèbres, Bull. Soc. Math. France 91 (1963), 227-284.
    • (1963) Bull. Soc. Math. France , vol.91 , pp. 227-284
    • Dixmier, J.1    Douady, A.2
  • 20
  • 22
    • 84972547281 scopus 로고
    • Fine structure of the Mackey machine for actions of abelian groups with constant Mackey obstruction
    • S. Echterhoff and J. Rosenberg, Fine structure of the Mackey machine for actions of abelian groups with constant Mackey obstruction, Pacific J. Math. 170(1) (1995), 17-52.
    • (1995) Pacific J. Math. , vol.170 , Issue.1 , pp. 17-52
    • Echterhoff, S.1    Rosenberg, J.2
  • 23
    • 0009909092 scopus 로고
    • Cyclic cohomology for one-parameter smooth crossed products
    • G. Elliott, T. Natsume and R. Nest, Cyclic cohomology for one-parameter smooth crossed products, Acta Math. 160(3,4) (1988), 285-305.
    • (1988) Acta Math. , vol.160 , Issue.3-4 , pp. 285-305
    • Elliott, G.1    Natsume, T.2    Nest, R.3
  • 24
    • 51649196332 scopus 로고
    • The structure of algebras of operator fields
    • J.M.G. Fell, The structure of algebras of operator fields, Acta Math. 106 (1961), 233-280.
    • (1961) Acta Math. , vol.106 , pp. 233-280
    • Fell, J.M.G.1
  • 25
    • 0011658957 scopus 로고
    • Target space duality in string theory
    • A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rep. 244(2,3) (1994), 77-202.
    • (1994) Phys. Rep. , vol.244 , Issue.2-3 , pp. 77-202
    • Giveon, A.1    Porrati, M.2    Rabinovici, E.3
  • 26
    • 0011635337 scopus 로고
    • Spaces with a compact Lie group of transformations
    • A. Gleason, Spaces with a compact Lie group of transformations, Proc. Am. Math. Soc. 1 (1950), 35-43.
    • (1950) Proc. Am. Math. Soc. , vol.1 , pp. 35-43
    • Gleason, A.1
  • 27
    • 0003037176 scopus 로고
    • The structure of imprimitivity algebras
    • P. Green, The structure of imprimitivity algebras, J. Funct. Anal. 36(1) (1980), 88-104.
    • (1980) J. Funct. Anal. , vol.36 , Issue.1 , pp. 88-104
    • Green, P.1
  • 28
    • 12444342642 scopus 로고
    • Cohomologie des groupes topologiques et des algèbres de Lie
    • A. Guichardet, Cohomologie des groupes topologiques et des algèbres de Lie, Textes Mathématiques, CEDIC, Paris 2 (1980).
    • (1980) Textes Mathématiques, CEDIC, Paris , vol.2
    • Guichardet, A.1
  • 29
    • 33646974226 scopus 로고    scopus 로고
    • Construction of ANR topologies on certain groups
    • B. Günther, Construction of ANR topologies on certain groups, Proc. Am. Math. Soc. 125(9) (1997), 2777-2778.
    • (1997) Proc. Am. Math. Soc. , vol.125 , Issue.9 , pp. 2777-2778
    • Günther, B.1
  • 30
    • 0037463711 scopus 로고    scopus 로고
    • Mirror symmetry in generalized Calabi-Yau compactifications
    • S. Gurrieri, J. Louis, A. Micu and D. Waldram, Mirror symmetry in generalized Calabi-Yau compactifications, Nucl. Phys. B654 (2003), 61-113.
    • (2003) Nucl. Phys. , vol.B654 , pp. 61-113
    • Gurrieri, S.1    Louis, J.2    Micu, A.3    Waldram, D.4
  • 31
    • 27544431851 scopus 로고    scopus 로고
    • A geometry for nongeometric string backgrounds
    • C.M. Hull, A geometry for nongeometric string backgrounds, J. High Energy Phys. 10 (2005), 065.
    • (2005) J. High Energy Phys. , vol.10 , pp. 065
    • Hull, C.M.1
  • 33
    • 0043014489 scopus 로고    scopus 로고
    • Massive IIA string theory and matrix theory compactification
    • D.A. Lowe, H. Nastase and S. Ramgoolam, Massive IIA string theory and matrix theory compactification, Nucl. Phys. B667 (2003), 55-89.
    • (2003) Nucl. Phys. , vol.B667 , pp. 55-89
    • Lowe, D.A.1    Nastase, H.2    Ramgoolam, S.3
  • 35
    • 12444322106 scopus 로고    scopus 로고
    • T-duality for torus bundles with H-fluxes via noncommutative topology
    • V. Mathai and J. Rosenberg, T-duality for torus bundles with H-fluxes via noncommutative topology, Comm. Math. Phys. 253 (2005), 705-721.
    • (2005) Comm. Math. Phys. , vol.253 , pp. 705-721
    • Mathai, V.1    Rosenberg, J.2
  • 39
  • 40
    • 84968482231 scopus 로고
    • Group extensions and cohomology for locally compact groups. III
    • C.C. Moore, Group extensions and cohomology for locally compact groups. III, Trans. Am. Math. Soc. 221(1) (1976), 1-33.
    • (1976) Trans. Am. Math. Soc. , vol.221 , Issue.1 , pp. 1-33
    • Moore, C.C.1
  • 41
    • 77951531404 scopus 로고    scopus 로고
    • K-theory from a physical perspective
    • London Math. Soc. Lect. Note Ser., 308, Cambridge Univ. Press, Cambridge
    • G. Moore, K-theory from a physical perspective, in 'Topology, Geometry and Quantum Field Theory', London Math. Soc. Lect. Note Ser., 308, Cambridge Univ. Press, Cambridge, 2004, 194-234.
    • (2004) Topology, Geometry and Quantum Field Theory , pp. 194-234
    • Moore, G.1
  • 42
    • 0040643995 scopus 로고    scopus 로고
    • The equivariant Brauer group of principal bundles
    • J. Packer, I. Raeburn and D.P. Williams, The equivariant Brauer group of principal bundles, J. Oper. Theory 36 (1996), 73-105.
    • (1996) J. Oper. Theory , vol.36 , pp. 73-105
    • Packer, J.1    Raeburn, I.2    Williams, D.P.3
  • 44
    • 0002497134 scopus 로고
    • Homological invariants of extensions of C*-algebras
    • Part 1 (Kingston, Ont., 1980), 35-75, Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, RI
    • J. Rosenberg, Homological invariants of extensions of C*-algebras, in 'Operator Algebras and Applications', Part 1 (Kingston, Ont., 1980), 35-75, Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, RI, 1982.
    • (1982) Operator Algebras and Applications
    • Rosenberg, J.1
  • 45
    • 84974277626 scopus 로고
    • Continuous-trace algebras from the bundle theoretic point of view
    • J. Rosenberg, Continuous-trace algebras from the bundle theoretic point of view, J. Aust. Math. Soc. Ser. A 47(3) (1989), 368-381.
    • (1989) J. Aust. Math. Soc. Ser. A , vol.47 , Issue.3 , pp. 368-381
    • Rosenberg, J.1
  • 46
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999), 032.
    • (1999) J. High Energy Phys. , vol.9 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 47
    • 85028160130 scopus 로고    scopus 로고
    • D-branes and K-theory
    • E. Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998), 019.
    • (1998) J. High Energy Phys. , vol.12 , pp. 019
    • Witten, E.1
  • 48
    • 0035916585 scopus 로고    scopus 로고
    • Overview of K-theory applied to strings
    • E. Witten, Overview of K-theory applied to strings, Int. J. Mod. Phys. A16 (2001), 693-706.
    • (2001) Int. J. Mod. Phys. , vol.A16 , pp. 693-706
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.