Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity
| dc.creator | Dijkgraaf, Robbert | |
| dc.creator | Vafa, Cumrun | |
| dc.date | 2007-11-13 | |
| dc.date.accessioned | 2026-07-07T08:42:35Z | |
| dc.date.available | 2026-07-07T08:42:35Z | |
| dc.description | Motivated by the six dimensional formulation of Kodaira-Spencer theory for Calabi-Yau threefolds, we formulate a two dimensional version and argue that this is the relevant field theory for the target space of local topological B-model with a geometry based on a Riemann surface. We show that the Ward identities of this quantum theory is equivalent to recursion relations recently proposed by Eynard and Orantin to solve the topological B model. Our derivation provides a conceptual explanation of this link and reveals a hidden affine SL(2,R) symmetry. Moreover we argue that our results provide the strongest evidence yet of the existence of topological M theory in one higher dimension, which in this case can be closely related to SL(2,R)Chern-Simons formulation of three dimensional gravity. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0711.1932 | |
| dc.identifier | http://arxiv.org/abs/0711.1932 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142013 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity | |
| dc.type | text |