Topological Strings and (Almost) Modular Forms
| dc.creator | Aganagic, Mina | |
| dc.creator | Bouchard, Vincent | |
| dc.creator | Klemm, Albrecht | |
| dc.date | 2006-07-17 | |
| dc.date | 2007-05-04 | |
| dc.date.accessioned | 2026-07-07T11:27:32Z | |
| dc.date.available | 2026-07-07T11:27:32Z | |
| dc.description | The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Gamma, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural way, governed by the quantum mechanics of the phase space H^3(X). We show that, depending on the choice of polarization, the genus g topological string amplitude is either a holomorphic quasi-modular form or an almost holomorphic modular form of weight 0 under Gamma. Moreover, at each genus, certain combinations of genus g amplitudes are both modular and holomorphic. We illustrate this for the local Calabi-Yau manifolds giving rise to Seiberg-Witten gauge theories in four dimensions and local P_2 and P_1 x P_1. As a byproduct, we also obtain a simple way of relating the topological string amplitudes near different points in the moduli space, which we use to give predictions for Gromov-Witten invariants of the orbifold C^3/Z_3. | |
| dc.description | 62 pages, 1 figure; v2: minor corrections | |
| dc.identifier | https://arxiv.org/abs/hep-th/0607100 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0607100 | |
| dc.identifier | Commun.Math.Phys.277:771-819,2008 | |
| dc.identifier | doi:10.1007/s00220-007-0383-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196176 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.title | Topological Strings and (Almost) Modular Forms | |
| dc.type | text |