Sigma models for bundles on Calabi-Yau: a proposal for Matrix string compactifications
SCIE
SCOPUS
- Title
- Sigma models for bundles on Calabi-Yau: a proposal for Matrix string compactifications
- Authors
- Hofman, Christiaan; PARK, JAE SUK
- Date Issued
- 1999-11-08
- Publisher
- ELSEVIER SCIENCE BV
- Abstract
- We describe a class of supersymmetric gauged linear sigma-model, whose target space is the infinite-dimensional space of bundles on a Calabi-Yau 3- or 2-fold. This target space can be considered the configuration space of D-branes wrapped around the Calabi-Yau. We propose that this model can be used to define matrix string theory compactifications. In the infrared limit the model flows to a superconformal non-linear sigma-model whose target space is the moduli space of BPS configurations of branes on the compact space, containing the moduli space of semi-stable bundles. We argue that the bulk degrees of freedom decouple in the infrared limit if semi-stability implies stability. We study topological versions of the model on Calabi-Yau 3-folds. The resulting B-model is argued to be equivalent to the holomorphic Chern-Simons theory proposed by Witten. The A-model and half-twisted model define the quantum cohomology ring and the elliptic genus, respectively, of the moduli space of stable bundles on a Calabi-Yau 3-fold. (C) 1999 Elsevier Science B.V. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/98600
- DOI
- 10.1016/S0550-3213(99)00548-9
- ISSN
- 0550-3213
- Article Type
- Article
- Citation
- NUCLEAR PHYSICS B, vol. 561, no. 1-2, page. 125 - 156, 1999-11-08
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