F-THEORY AND LINEAR SIGMA-MODELS

Citation
M. Bershadsky et al., F-THEORY AND LINEAR SIGMA-MODELS, Nuclear physics. B, 527(3), 1998, pp. 531-570
Citations number
25
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
527
Issue
3
Year of publication
1998
Pages
531 - 570
Database
ISI
SICI code
0550-3213(1998)527:3<531:FALS>2.0.ZU;2-H
Abstract
We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investiga te the four-dimensional duality between (0,2) heterotic and F-theory c ompactifications. We indirectly find that much interesting heterotic i nformation must be contained in the 'spectral bundle' and in its dual description as a gauge theory on multiple F-theory 7-branes. A by-prod uct of these efforts is a method for analyzing semistability and the s plitting type of vector bundles over an elliptic curve given as the sh eaf cohomology of a monad. (C) 1998 Elsevier Science B.V.