Five-brane actions in double field theory

Abstract

Abstract:We construct an action for NSNS 5-branes which is manifestly covariant under O(d, d). This is done by doubling d of the spacetime coordinates which appear in the worldvolume action. By formulating the DBI part of the action in a manner similar to a "gauged sigma model", only half the doubled coordinates genuinely appear. Our approach allows one to describe the full T-duality orbit of the IIB NS5 brane, the IIA KKM and their exotic relations in one formalism. Furthermore, by using ideas from double field theory, our action can be said to describe various aspects of non-geometric five-branes.

Open exceptional strings and D-branes

“…It would be interesting to formulate fully E d(d) covariant actions for the branes discussed in this paper. Some approaches to D-branes in the O(D, D) case which may be applicable include [14,53,54] (see also [55] for (NS)5-branes in DFT and [56] in ExFT). In fact, the paper [57] has already described U-duality covariant expressions for the Wess-Zumino terms of D-branes in various dimensions.…”

Gauge Field Fluxes and Bianchi Identities in Extended Field Theories

“…Decomposing the full Bianchi identities we obtain Based on the potentials which enter the covariant Wess-Zumino action for NS 5-branes as constructed in [32] one concludes that in the 10-dimensional space split as 10 = D + d these potentials are sourced in the corresponding O(d, d) theory by differently oriented branes [14]. Consider for definiteness the case D = 6 and list all options for the DFT monopole 0 1 2 3 4 5 | 6 7 8 9 at the linearized level.…”

“…Bianchi identities for exotic NS fluxes of supergravity sourced by exotic 5-branes have been analysed in [13,28] for backgrounds of the conventional supergravity and in [14,24] for backgrounds of DFT. Bianchi identities when understood as conditions on T-duality covariant field strengths allow to introduce the corresponding dual potentials as Lagrange multipliers in the full DFT action [29,30] Other components contain dual graviton and potentials interacting with exotic branes, for which reason the theory cannot be written purely in terms of the dual potentials at the fully non-linear level.…”

“…where the first line presents in the full theory and the others describe interaction of the potentials (2.21) with NS 5-branes of different orientation [14]. To cover the full set of potentials one would expect to have in addition Bianchi identities of the form…”

“…Such branes interact electrically with mixed-symmetry gauge potentials B (8,2) and B (9,3) , which are magnetic duals of the bivector field β mn . In the works [11][12][13][14] a worldvolume DBI action for such branes has been presented and coupling to the mixed-symmetry potentials has been analysed.…”