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Exceptional M-brane sigma models and $\eta$-symbols
- Publication Year :
- 2017
-
Abstract
- We develop the M-brane actions proposed in arXiv:1607.04265 by using $\eta$-symbols determined in arXiv:1708.06342. Introducing $\eta$-forms that are defined with the $\eta$-symbols, we present U-duality-covariant M-brane actions which describe the known brane worldvolume theories for M$p$-branes with $p=0,2,5$. We show that the self-duality relation known in the double sigma model is naturally generalized to M-branes. In particular, for an M5-brane, the self-duality relation is nontrivially realized, where the Hodge star operator is defined with the familiar M5-brane metric while the $\eta$-form contains the self-dual 3-form field strength. The action for a Kaluza-Klein monopole is also partially reproduced. Moreover, we explain how to treat type IIB branes in our general formalism. As a demonstration, we reproduce the known action for a $(p,q)$-string.<br />Comment: 55 pages; v2: references added, minor improvements; v3: clarifications added, to appear in PTEP; v4: typos corrected
- Subjects :
- Physics
High Energy Physics - Theory
Sigma model
010308 nuclear & particles physics
Formalism (philosophy)
Magnetic monopole
General Physics and Astronomy
Sigma
01 natural sciences
Action (physics)
High Energy Physics::Theory
Mathematics::K-Theory and Homology
0103 physical sciences
Brane cosmology
Brane
010306 general physics
Hodge dual
Mathematics::Symplectic Geometry
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e7028f972c8dcff8c565cfa35389fcda