Ramadas, T. R. ; Singer, I. M. ; Weitsman, J. (1989) Some comments on Chern-Simons gauge theory Communications in Mathematical Physics, 126 (2). pp. 409-420. ISSN 0010-3616
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Official URL: http://www.springerlink.com/content/k1310174731368...
Related URL: http://dx.doi.org/10.1007/BF02125132
Abstract
Following M. F. Atiyah and R. Bott [AB] and E. Witten [W], we consider the space of flat connections on the trivial SU(2) bundle over a surface M, modulo the space of gauge transformations. We describe on this quotient space a natural hermitian line-bundle with connection and prove that if the surface M is now endowed with a complex structure, this line bundle is isomorphic to the determinant bundle. We show heuristically how path-integral quantisation of the Chern-Simons action yields holomorphic sections of this bundle.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| ID Code: | 38415 |
| Deposited On: | 29 Jun 2011 13:03 |
| Last Modified: | 29 Jun 2011 13:03 |
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