The Half-Twisted Orbifold Sigma Model and the Chiral de Rham Complex
| dc.creator | Tan, Meng-Chwan | |
| dc.date | 2006-07-25 | |
| dc.date | 2008-03-22 | |
| dc.date.accessioned | 2026-07-07T11:43:54Z | |
| dc.date.available | 2026-07-07T11:43:54Z | |
| dc.description | In this paper, we study the perturbative aspects of the half-twisted variant of Witten's topological A-model on a complex orbifold X/G, where G is an isometry group of X. The objective is to furnish a purely physical interpretation of the mathematical theory of the Chiral de Rham complex on orbifolds recently constructed by Frenkel and Szczesny in [Chiral de Rham complex and orbifolds, arXiv: math.AG/0307181]. In turn, one can obtain a novel understanding of the holomorphic (twisted) N=2 superconformal structure underlying the untwisted and twisted sectors of the quantum sigma model, purely in terms of an obstruction (or a lack thereof) to a global definition of the relevant physical operators which correspond to G-invariant sections of the sheaf of Chiral de Rham complex on X. Explicit examples are provided to help illustrate this connection, and comparisons with their non-orbifold counterparts are also made in an aim to better understand the action of the G-orbifolding on the original half-twisted sigma model on X. | |
| dc.description | 57 pages. Additional references. Published version | |
| dc.identifier | https://arxiv.org/abs/hep-th/0607199 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0607199 | |
| dc.identifier | Adv.Theor.Math.Phys.12:547-604,2008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201413 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | The Half-Twisted Orbifold Sigma Model and the Chiral de Rham Complex | |
| dc.type | text |