Higgs Fields, Bundle Gerbes and String Structures

Communications in Mathematical Physics

Volumn 243, Issue 3, 2003, Pages 541-555

  Murray, Michael K ^a   Stevenson, Daniel ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346308628     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0984-4     Document Type: Article

References (18)

1. Brylinski, J.-L.: Loop spaces, characteristic classes and geometric quantization. Progr. Math. 107, Boston, MA: Birkhäuser, 1993
2. 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)
3. Carey, A.L., Crowley, D., Murray, M.K.: Principal bundles and the Dixmier-Douady class. Commun. Math. Phys. 193, 171-196 (1998)
4. Carey, A.L., Murray, M.K.: String structures and the path fibration of a group. Comm. Math. Phys. 141(3), 441-452 (1991)
5. Cheeger, J., Simons, J.: Characteristic forms and geometric invariants. In: Geometry and topology. Lecture Notes in Mathematics 1167, Berlin-Heidelberg-New York: Springer, 1985
6. Coquereaux, R., Pilch, K.: String Structures on Loop Bundles. Commun. Math. Phys. 120, 353-378 (1989)
7. Dupont, J.L.: Curvature and characteristic classes. Lecture Notes in Mathematics, Vol. 640. Berlin: Springer, 1978
8. Garland, H.K., Murray, M.K.: Kac-Moody monopoles and periodic instantons. Commun. Math. Phys. 120(2), 335-351 (1988)
9. Gomi, K.:Connections and curvings on lifting bundle gerbes. J. Lond. Math. Soc. 67(2), 510-526 (2003)
10. Gross, D.J., Pisarski, R.D., Yaffe, L.G.: QCD and temperature. Rev. Mod. Phys. 53, 43-80 (1981)
11. Koboyashi, S., Nomizu, K.: Foundations of Differential Geometry. New York: Interscience, John Wiley and Sons, 1963
12. Killingback, T.: World-sheet anomalies and loop geometry. Nucl. Phys. B288, 578-588 (1987)
13. McLaughlin, D.A.: Orientation and String Structures on Loop Space. Pac. J. Math. 155, 1-31 (1992)
14. Mickelsson, J.: Kac-Moody groups, topology of the Dirac determinant bundle and fermionization. Commun. Math. Phys. 110, 173-183 (1987)
15. Murray, M.K.: Another construction of the central extension of the loop group. Comm. Math. Phys. 116, 73-80 (1988)
16. Murray, M.K.: Bundle gerbes. J. London Math. Soc. 54(2), 403-416 (1996)
17. Murray, M.K., Stevenson, D.: Yet another construction of the central extension of the loop group. In: Proceedings of the National Research Symposium on Geometric Analysis and Applications at the Centre for Mathematics and its Applications, The Australian National University, 2000
18. Pressley, A., Segal, G.: Loop groups. Oxford: Clarendon Press, 1986