Givental formula in terms of Virasoro operators
| dc.creator | Alexandrov, A. | |
| dc.date | 2002-05-26 | |
| dc.date | 2002-12-03 | |
| dc.date.accessioned | 2026-07-07T11:10:05Z | |
| dc.date.available | 2026-07-07T11:10:05Z | |
| dc.description | We present a conjecture that the universal enveloping algebra of differential operators $\frac{\p}{\p t_k}$ over $\mathbb{C}$ coincides in the origin with the universal enveloping algebra of the (Borel subalgebra of) Virasoro generators from the Kontsevich model. Thus, we can decompose any (pseudo)differential operator to a combination of the Virasoro operators. Using this decomposition we present the r.h.s. of the Givental formula math.AG/0008067 as a constant part of the differential operator we introduce. In the case of $\mathbb{CP}^1$ studied in hep-th/0103254, the l.h.s. of the Givental formula is a unit, which imposes certain constraints on this differential operator. We explicitly check that these constraints are correct up to $O(q^4)$. We also propose a conjecture of factorization modulo Hirota equation of the differential operator introduced and check this conjecture with the same accuracy. | |
| dc.description | LaTeX, 11 pages, Some typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0205261 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0205261 | |
| dc.identifier | J.Math.Phys.44:5268-5278,2003 | |
| dc.identifier | doi:10.1063/1.1615695 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190683 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Givental formula in terms of Virasoro operators | |
| dc.type | text |