Five-branes, KK monopoles and T-duality

Abstract

We construct the explicit worldvolume effective actions of the type IIB NS-5-brane and KK-monopole. These objects are obtained through a T -duality transformation from the IIA KK-monopole and the IIA NS-5-brane respectively. We show that the worldvolume field content of these actions is precisely that necessary to describe their worldvolume solitons. The IIB NS-5-brane effective action is shown to be related to the D-5-brane's by an S-duality transformation, suggesting the way to construct (p, q) 5-brane multiplets. The IIB KKmonopole is described by a gauged sigma model, in agreement with the general picture for KK-monopoles, and behaves as a singlet under S-duality. We derive the explicit T -duality rules NS-5-brane ↔ KK, which we use for the construction of the previous actions, as well as NS-5 ↔ NS-5, and KK ↔ KK.

Dual double field theory

“…While we restrict ourselves to the free, quadratic theory, we believe that our results give important pointers for the full non-linear theory. The construction of the non-linear theory would be necessary in order to describe, for instance, the world-volume dynamics of Kaluza-Klein monopoles (in a way that is compatible with T-duality), for which the dual graviton is expected to play the same role as the B 6 potential does for the NS5-brane [15]. More generally, one expects from T-duality the appearance of further mixed-Young tableaux fields as exotic duals [17,19] of the usual gauge potentials [21][22][23], as further clarified in [24,25], together with associated 'exotic' branes [26,27].…”

“…We write the linearized Einstein-Hilbert action for the vielbein fluctuation h a|b (including the antisymmetric part, as indicated by the bar) as 15) with the linearized coefficients of anholonomy,…”

Effective actions of nongeometric five-branes

“…In the present paper, following an approach similar to Ref. [27], we determine the actions for the two exotic fivebranes of the type IIB superstring. The first is related via two T-dualities to the type IIB NS5-brane 3 (or, equivalently, via one T-duality to the type IIA KKM) and denoted 4 as 5 2 2 , while the second is obtained from the first upon S-duality and denoted as 5 2 3 .…”

Superembedding approach and S-duality: a unified description of superstring and super-D1-brane

“…It should provide a universal description of the super-D5-brane, type IIB super-NS5-brane and super-KK5-brane (a D=10 type IIB Kaluza-Klein monopole). Such a study is of a special interest because the complete supersymmetric action are still unknown for the latter objects (see [8] and refs. therein for the bosonic actions).…”