Stieltjes–Bethe equations in higher genus and branched coverings with even ramifications
We describe projective structures on a Riemann surface corresponding to monodromy groups which have trivial SL(2) monodromies around singularities and trivial PSL(2) monodromies along homologically non-trivial loops on a Riemann surface. We propose a natural higher genus analog of Stieltjes–Bethe eq...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-02-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317304108 |
| Summary: | We describe projective structures on a Riemann surface corresponding to monodromy groups which have trivial SL(2) monodromies around singularities and trivial PSL(2) monodromies along homologically non-trivial loops on a Riemann surface. We propose a natural higher genus analog of Stieltjes–Bethe equations. Links with branched projective structures and with Hurwitz spaces with ramifications of even order are established. We find a higher genus analog of the genus zero Yang–Yang function (the function generating accessory parameters) and describe its similarity and difference with Bergman tau-function on the Hurwitz spaces. |
|---|---|
| ISSN: | 0550-3213 |