Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
| dc.creator | Saidi, El Hassan | |
| dc.creator | Sedra, Moulay Brahim | |
| dc.date | 2006-04-27 | |
| dc.date | 2006-05-21 | |
| dc.date.accessioned | 2026-07-07T10:46:31Z | |
| dc.date.available | 2026-07-07T10:46:31Z | |
| dc.description | We develop the harmonic space method for conifold and use it to study local complex deformations of $T^{\ast}S^{3}$ preserving manifestly $SL(2,C) $ isometry. We derive the perturbative manifestly $SL(2,C) $ invariant partition function $\mathcal{Z}_{top}$ of topological string B model on locally deformed conifold. Generic $n$ momentum and winding modes of 2D $c=1$ non critical theory are described by highest $% \upsilon_{(n,0)}$ and lowest components $\upsilon_{(0,n)}$ of $SL(2,C) $ spin $s=\frac{n}{2}$ multiplets $% (\upsilon _{(n-k,k)}) $, $0\leq k\leq n$ and are shown to be naturally captured by harmonic monomials. Isodoublets ($n=1$) describe uncoupled units of momentum and winding modes and are exactly realized as the $SL(2,C) $ harmonic variables $U_α^{+}$ and $V_α^{-}$. We also derive a dictionary giving the passage from Laurent (Fourier) analysis on $T^{\ast}S^{1}$ ($S^{1}$) to the harmonic method on $T^{\ast}S^{3}$ ($S^{3}$). The manifestly $SU(2,C) $ covariant correlation functions of the $S^{3}$ quantum cosmology model of Gukov-Saraikin-Vafa are also studied. | |
| dc.description | 91 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0604204 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0604204 | |
| dc.identifier | Nucl.Phys.B748:380-457,2006 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.04.020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183257 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology | |
| dc.type | text |