Hyperbolic three-string vertex

Abstract We begin developing tools to compute off-shell string amplitudes with the recently proposed hyperbolic string vertices of Costello and Zwiebach. Exploiting the relation between a boundary value problem for Liouville's equation and a monodromy problem for a Fuchsian equation, we constru...

Full description

Bibliographic Details
Main Author: Fırat, Atakan H. (Author)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2021-11-01T14:33:55Z.
Subjects:
Online Access:Get fulltext
LEADER 01133 am a22001333u 4500
001 136873
042 |a dc 
100 1 0 |a Fırat, Atakan H.  |e author 
245 0 0 |a Hyperbolic three-string vertex 
260 |b Springer Berlin Heidelberg,   |c 2021-11-01T14:33:55Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/136873 
520 |a Abstract We begin developing tools to compute off-shell string amplitudes with the recently proposed hyperbolic string vertices of Costello and Zwiebach. Exploiting the relation between a boundary value problem for Liouville's equation and a monodromy problem for a Fuchsian equation, we construct the local coordinates around the punctures for the generalized hyperbolic three-string vertex and investigate their various limits. This vertex corresponds to the general pants diagram with three boundary geodesics of unequal lengths. We derive the conservation laws associated with such vertex and perform sample computations. We note the relevance of our construction to the calculations of the higher-order string vertices using the pants decomposition of hyperbolic Riemann surfaces. 
546 |a en 
655 7 |a Article