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Exceptional M-brane sigma models and η-symbols

2017/12/31 by Yuho Sakatani, Shozo Uehara
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1093/ptep/pty021

published as PTEP (2018) 033B05 · 55 pages; v2: references added, minor improvements; v3: clarifications added, to appear in PTEP; v4: typos corrected

arxiv created 2018/03/08 · arxiv updated 2018/03/29

Abstract

We develop the M-brane actions proposed in arXiv:1607.04265 by using η-symbols determined in arXiv:1708.06342. Introducing η-forms that are defined with the η-symbols, we present U-duality-covariant M-brane actions which describe the known brane worldvolume theories for Mp-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 η-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.

Citations