Journal article
Yang-Mills, gravity, and string symmetries
Physics letters. B, Vol.412(3), pp.253-258
1997
DOI: 10.1016/S0370-2693(97)01029-0
Abstract
In this work we use constructs from the dual space of the semi-direct product of the Virasoro algebra and the affine Lie algebra of a circle to write a theory of gravitation which is a natural analogue of Yang-Mills theory. The theory provides a relation between quadratic differentials in 1 + 1 dimensions and rank two symmetric tensors in higher dimensions as well as a covariant local Lagrangian for two dimensional gravity. The isotropy equations of coadjoint orbits are interpreted as Gauss law constraints for a field theory in two dimensions, which enables us to extend to higher dimensions. The theory has a Newtonian limit in any space-time dimension. Our approach introduces a novel relationship between string theories and 2D field theories that might be useful in defining dual theories. We briefly discuss how this gravitational field couples to fermions.
Details
- Title: Subtitle
- Yang-Mills, gravity, and string symmetries
- Creators
- Thomas Branson - University of IowaR.P Lano - Indian Institute of Science BangaloreV.G.J Rodgers - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physics letters. B, Vol.412(3), pp.253-258
- DOI
- 10.1016/S0370-2693(97)01029-0
- ISSN
- 0370-2693
- eISSN
- 1873-2445
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 1997
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199664602771
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