Structure in 6D and 4D N = 1 supergravity theories from F-theory
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Taylor_Structure in 6D.pdf
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577.23 KB
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Author(s)
Grimm, Thomas W.
Taylor, Washington
Date Issued
October 2012
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Grimm, Thomas W., and Washington Taylor. “Structure in 6D and 4D N = 1 Supergravity Theories from F-Theory.” J. High Energ. Phys. 2012, no. 10 (October 2012).
Version
Original manuscript
Abstract
We explore some aspects of 4D supergravity theories and F-theory vacua that are parallel to structures in the space of 6D theories. The spectrum and topological terms in 4D supergravity theories correspond to topological data of F-theory geometry, just as in six dimensions. In particular, topological axion-curvature squared couplings appear in 4D theories; these couplings are characterized by vectors in the dual to the lattice of axion shift symmetries associated with string charges. These terms are analogous to the Green-Schwarz terms of 6D supergravity theories, though in 4D the terms are not generally linked with anomalies. We outline the correspondence between F-theory topology and data of the corresponding 4D supergravity theories. The correspondence of geometry with structure in the low-energy action illuminates topological aspects of heterotic-F-theory duality in 4D as well as in 6D. The existence of an F-theory realization also places geometrical constraints on the 4D supergravity theory in the large-volume limit.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/jhep10(2012)105
