The $n$--TH Reduced BKP Hierarchy, the String Equation and $BW_{1+\infty}$--Constraints
| dc.creator | Van De Leur, Johan | |
| dc.date | 1994-11-10 | |
| dc.date.accessioned | 2026-07-07T04:20:45Z | |
| dc.date.available | 2026-07-07T04:20:45Z | |
| dc.description | We study the BKP hierarchy and its $n$--reduction, for the case that $n$ is odd. This is related to the principal realization of the basic module of the twisted affine Lie algebra $\hat{sl}_n^{(2)}$. We show that the following two statements for a BKP $τ$ function are equivalent: (1) $τ$ is is $n$--reduced and satisfies the string equation, i.e. $L_{-1}τ=0$, where $L_{-1}$ is an element of some `natural' Virasoro algebra. (2) $τ$ satisfies the vacuum constraints of the $BW_{1+\infty}$ algebra. Here $BW_{1+\infty}$ is the natural analog of the $W_{1+\infty}$ algebra, which plays a role in the KP case. | |
| dc.description | 15 pages of (plain)tex, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9411067 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9411067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54056 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The $n$--TH Reduced BKP Hierarchy, the String Equation and $BW_{1+\infty}$--Constraints | |
| dc.type | text |