The KZB equations on Riemann surfaces
| dc.creator | Felder, Giovanni | |
| dc.date | 1996-09-18 | |
| dc.date.accessioned | 2026-07-25T21:49:54Z | |
| dc.description | In this paper, based on the author's lectures at the 1995 les Houches Summer school, explicit expressions for the Friedan--Shenker connection on the vector bundle of WZW conformal blocks on the moduli space of curves with tangent vectors at $n$ marked points are given. The covariant derivatives are expressed in terms of ``dynamical $r$-matrices'', a notion borrowed from integrable systems. The case of marked points moving on a fixed Riemann surface is studied more closely. We prove a universal form of the (projective) flatness of the connection: the covariant derivatives commute as differential operators with coefficients in the universal enveloping algebra -- not just when acting on conformal blocks. | |
| dc.description | 29 pages, LaTeX, to appear in the Proceedings of the 1995 les Houches Summer School | |
| dc.identifier | https://arxiv.org/abs/hep-th/9609153 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9609153 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/83306 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The KZB equations on Riemann surfaces | |
| dc.type | text |