메뉴 건너뛰기




Volumn 259, Issue 3, 2005, Pages 577-613

Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories

Author keywords

[No Author keywords available]

Indexed keywords


EID: 24944517509     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1376-8     Document Type: Article
Times cited : (95)

References (49)
  • 2
    • 0000979746 scopus 로고
    • The Yang-Mills equations over Riemann surfaces
    • Atiyah, M., Bott, R.: The Yang-Mills equations over Riemann surfaces. Philos. Trans. Roy. Soc. London Ser. A 308(1505), 523-615 (1983)
    • (1983) Philos. Trans. Roy. Soc. London Ser. A , vol.308 , Issue.1505 , pp. 523-615
    • Atiyah, M.1    Bott, R.2
  • 3
    • 34250127531 scopus 로고
    • The analysis of elliptic families. I. Metrics and connections on determinant bundles
    • Bismut, J-M., Freed, D.: The analysis of elliptic families. I. Metrics and connections on determinant bundles. Commun. Math. Phys. 106(1), 159-176 (1986).
    • (1986) Commun. Math. Phys. , vol.106 , Issue.1 , pp. 159-176
    • Bismut, J.-M.1    Freed, D.2
  • 4
    • 33744647630 scopus 로고
    • The analysis of elliptic families. II. Dirac operators, eta invariants, and the holonomy theorem
    • The analysis of elliptic families. II. Dirac operators, eta invariants, and the holonomy theorem. Commun. Math. Phys. 107(1), 103-163 (1986)
    • (1986) Commun. Math. Phys. , vol.107 , Issue.1 , pp. 103-163
  • 9
    • 0007126429 scopus 로고    scopus 로고
    • Geometric construction of Quillen line bundles
    • Advances in Geometry, Basel-Boston: Birkhäuser
    • Brylinski, J-L.: Geometric construction of Quillen line bundles. In: Advances in Geometry, Progr. Math. 172, Basel-Boston: Birkhäuser, 1999, pp. 107-146
    • (1999) Progr. Math. , vol.172 , pp. 107-146
    • Brylinski, J.-L.1
  • 11
    • 84974005606 scopus 로고
    • The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
    • Brylinski, J-L., McLaughlin, D. A.: The geometry of degree-four characteristic classes and of line bundles on loop spaces. I. Duke Math. J. 75(3), 603-638 (1994).
    • (1994) Duke Math. J. , vol.75 , Issue.3 , pp. 603-638
    • Brylinski, J.-L.1    McLaughlin, D.A.2
  • 12
    • 0001620479 scopus 로고    scopus 로고
    • The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II
    • The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II. Duke Math. J. 83(1), 105-139 (1996)
    • (1996) Duke Math. J. , vol.83 , Issue.1 , pp. 105-139
  • 13
    • 0041869250 scopus 로고    scopus 로고
    • The universal gerbe, Dixmier-Douady class, and gauge theory
    • Carey, A. L., Mickelsson, J.: The universal gerbe, Dixmier-Douady class, and gauge theory. Lett. Math. Phys. 59(1), 47-60 (2002)
    • (2002) Lett. Math. Phys. , vol.59 , Issue.1 , pp. 47-60
    • Carey, A.L.1    Mickelsson, J.2
  • 16
    • 0030641757 scopus 로고    scopus 로고
    • Higher bundle gerbes and cohomology classes in gauge theory
    • Carey, A., Murray, M.K., Wang, B.L.: Higher bundle gerbes and cohomology classes in gauge theory. J. Geom. Phys. 21, 183-197 (1997)
    • (1997) J. Geom. Phys. , vol.21 , pp. 183-197
    • Carey, A.1    Murray, M.K.2    Wang, B.L.3
  • 18
    • 0002909916 scopus 로고
    • Characteristic forms and geometric invariants
    • Geometry and topology. Berlin-Heidelberg-New York: Springer
    • Cheeger, J., Simons, J.: Characteristic forms and geometric invariants. In: Geometry and topology. Lecture Notes in Mathematics 1167, Berlin-Heidelberg-New York: Springer, 1985
    • (1985) Lecture Notes in Mathematics , vol.1167
    • Cheeger, J.1    Simons, J.2
  • 19
    • 0001183611 scopus 로고
    • Characteristic forms and geometric invariants
    • Chern, S. S., Simons, J.: Characteristic forms and geometric invariants. Ann. of Math. 99, 48-69 (1974)
    • (1974) Ann. of Math. , vol.99 , pp. 48-69
    • Chern, S.S.1    Simons, J.2
  • 21
    • 0037961171 scopus 로고
    • Curvature and characteristic classes
    • Lecture Notes in Mathematics, Berlin: Springer
    • Dupont, J. L.: Curvature and characteristic classes. Lecture Notes in Mathematics, Vol. 640. Lecture Notes in Math., Berlin: Springer, 1978
    • (1978) Lecture Notes in Math. , vol.640
    • Dupont, J.L.1
  • 22
    • 0036399047 scopus 로고    scopus 로고
    • Remarks on determinant line bundles, Chern-Simons forms and invariants
    • Dupont, J., Johansen, F. L.: Remarks on determinant line bundles, Chern-Simons forms and invariants. Math. Scand. 91(1), 5-26 (2002)
    • (2002) Math. Scand. , vol.91 , Issue.1 , pp. 5-26
    • Dupont, J.1    Johansen, F.L.2
  • 23
    • 11944270699 scopus 로고    scopus 로고
    • Gerbes, simplicial forms and invariants for families of foliated bundles
    • Dupont, J., Kamber, F.: Gerbes, simplicial forms and invariants for families of foliated bundles. Commun. Math. Phys. 253, 253-282 (2004)
    • (2004) Commun. Math. Phys. , vol.253 , pp. 253-282
    • Dupont, J.1    Kamber, F.2
  • 25
    • 0000680015 scopus 로고
    • Topological gauge theories and group cohomology
    • Dijkgraaf, R., Witten, E.: Topological Gauge Theories and Group Cohomology. Commun. Math. Phys. 129, 393-429 (1990)
    • (1990) Commun. Math. Phys. , vol.129 , pp. 393-429
    • Dijkgraaf, R.1    Witten, E.2
  • 26
    • 0001199161 scopus 로고
    • Classical chern-simons theory. Part 1
    • Freed, D.: Classical Chern-Simons theory. Part 1. Adv. Math. 113, 237-303 (1995);
    • (1995) Adv. Math. , vol.113 , pp. 237-303
    • Freed, D.1
  • 27
    • 11944254502 scopus 로고    scopus 로고
    • Classical chern-simons theory, part 2
    • Classical Chern-Simons theory, Part 2. Special issue for S. S. Chern. Houston J. Math. 28(2), 293-310 (2002)
    • (2002) Special Issue for S. S. Chern. Houston J. Math. , vol.28 , Issue.2 , pp. 293-310
  • 28
    • 21344482752 scopus 로고
    • Higher algebraic structures and quantization
    • Freed, D.: Higher algebraic structures and quantization. Commun. Math. Phys. 159(2), 343-398 (1994)
    • (1994) Commun. Math. Phys. , vol.159 , Issue.2 , pp. 343-398
    • Freed, D.1
  • 29
    • 0031540754 scopus 로고    scopus 로고
    • Geometry of Deligne cohomology
    • Gajer, P.: Geometry of Deligne cohomology. Invent. Math. 127, 155-207 (1997)
    • (1997) Invent. Math. , vol.127 , pp. 155-207
    • Gajer, P.1
  • 30
    • 0001755444 scopus 로고
    • Topological actions in two-dimensional quantum field theory
    • Nonperturbative Quantum Field Theories, 't Hooft, G., Jaffe, A., Mack, G., Mitter, P. K., Stora, R. (eds.) London-New York: Plenum Press
    • Gawedzki, K.: Topological actions in two-dimensional quantum field theory. In: Nonperturbative Quantum Field Theories, 't Hooft, G., Jaffe, A., Mack, G., Mitter, P. K., Stora, R. (eds.) NATO Series Vol. 185, London-New York: Plenum Press 1988, pp. 101-142
    • (1988) NATO Series , vol.185 , pp. 101-142
    • Gawedzki, K.1
  • 31
    • 0036967828 scopus 로고    scopus 로고
    • WZW branes and gerbes
    • Gawedzki, K., Reis, N.: WZW branes and gerbes. Rev. Math. Phys. 14(12), 1281-1334 (2002)
    • (2002) Rev. Math. Phys. , vol.14 , Issue.12 , pp. 1281-1334
    • Gawedzki, K.1    Reis, N.2
  • 33
    • 0037569585 scopus 로고    scopus 로고
    • Connections and curvings on lifting bundle gerbes
    • Gomi, K.: Connections and curvings on lifting bundle gerbes. J. London Math. Soc. (2) 67(2), 510-526 (2003)
    • (2003) J. London Math. Soc. (2) , vol.67 , Issue.2 , pp. 510-526
    • Gomi, K.1
  • 34
    • 1542535393 scopus 로고    scopus 로고
    • The formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology
    • Gomi, K.: The formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology. J. Math. Sci. Univ. Tokyo 8(2), 223-242 (2001)
    • (2001) J. Math. Sci. Univ. Tokyo , vol.8 , Issue.2 , pp. 223-242
    • Gomi, K.1
  • 38
    • 0001105583 scopus 로고
    • Review of the elements of 2-categories
    • Category Seminar (Proc. Sem., Sydney 1972/73), Berlin: Springer
    • Kelly, G. M., Street, R.: Review of the elements of 2-categories. In: Category Seminar (Proc. Sem., Sydney 1972/73), Lecture Notes in Mathematics, Vol. 420, Berlin: Springer, 1974, pp. 75-103
    • (1974) Lecture Notes in Mathematics , vol.420 , pp. 75-103
    • Kelly, G.M.1    Street, R.2
  • 39
    • 10644250740 scopus 로고
    • Taming the conformal Zoo
    • Moore, G., Seiberg, N.: Taming the conformal Zoo. Phys. Lett. B 220(3), 422-430 (1989)
    • (1989) Phys. Lett. B , vol.220 , Issue.3 , pp. 422-430
    • Moore, G.1    Seiberg, N.2
  • 41
    • 0000987739 scopus 로고    scopus 로고
    • Bundle gerbes: Stable isomorphsim and local theory
    • Murray, M. K., Stevenson, D.: Bundle gerbes: Stable isomorphsim and local theory. J. London Math. Soc. (2). 62(3), 925-937 (2002)
    • (2002) J. London Math. Soc. (2) , vol.62 , Issue.3 , pp. 925-937
    • Murray, M.K.1    Stevenson, D.2
  • 42
    • 0346308628 scopus 로고    scopus 로고
    • Higgs fields, bundle gerbes and string structures
    • Murray, M. K., Stevenson, D.: Higgs fields, bundle gerbes and string structures. Commun. Math. Phys. 243(3), 541-555 (2003)
    • (2003) Commun. Math. Phys. , vol.243 , Issue.3 , pp. 541-555
    • Murray, M.K.1    Stevenson, D.2
  • 43
    • 0000856251 scopus 로고
    • Existence of universal connections
    • Narasinhan, H.S., Ramananan, S.: Existence of universal connections. Am. J. Math. 83, 563-572 (1961);
    • (1961) Am. J. Math. , vol.83 , pp. 563-572
    • Narasinhan, H.S.1    Ramananan, S.2
  • 44
    • 0000433472 scopus 로고
    • Existence of universal connections
    • Narasinhan, H.S., Ramananan, S.: Existence of universal connections. Am. J. Math. 85, 223-231 (1963)
    • (1963) Am. J. Math. , vol.85 , pp. 223-231
    • Narasinhan, H.S.1    Ramananan, S.2
  • 46
    • 11244319351 scopus 로고
    • Determinants of Cauchy-Riemann operators on Riemann surfaces
    • Quillen, D.: Determinants of Cauchy-Riemann operators on Riemann surfaces. Funct. Anal. Appl. 19(1), 31-34 (1985)
    • (1985) Funct. Anal. Appl. , vol.19 , Issue.1 , pp. 31-34
    • Quillen, D.1
  • 47
    • 0000937837 scopus 로고
    • Some comments on Chern-Simons gauge theory
    • Ramadas, T. R., Singer, I. M., Weitsman, J.: Some comments on Chern-Simons gauge theory. Commun. Math. Phys. 126(2). 409-420 (1989)
    • (1989) Commun. Math. Phys. , vol.126 , Issue.2 , pp. 409-420
    • Ramadas, T.R.1    Singer, I.M.2    Weitsman, J.3
  • 49
    • 0033478449 scopus 로고    scopus 로고
    • Positive energy representations of the loop groups of non-simply connected Lie groups
    • Toledano-Laredo, V.: Positive energy representations of the loop groups of non-simply connected Lie groups. Commun. Math. Phys. 207(2), 307-339 (1999)
    • (1999) Commun. Math. Phys. , vol.207 , Issue.2 , pp. 307-339
    • Toledano-Laredo, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.