Abstract

Fluxes can decay via the nucleation of Brown-Teitelboim bubbles, but when the decaying fluxes induce D-brane charges this process must be accompanied with an annihilation of D-branes. This occurs via dynamics inside the bubble wall as was well described for $$ \overline{\mathrm{D}3} $$ branes annihilating against 3-form fluxes. In this paper we extend this to the other $$ \overline{\mathrm{D}p} $$ branes with p smaller than seven. Generically there are two decay channels: one for the RR flux and one for the NSNS flux. The RR channel is accompanied by brane annihilation that can be understood from the $$ \overline{\mathrm{D}p} $$ branes polarising into D(p + 2) branes, whereas the NSNS channel corresponds to $$ \overline{\mathrm{D}p} $$ branes polarising into NS5 branes or KK5 branes. We illustrate this with the decay of antibranes probing local toroidal throat geometries obtained from T-duality of the D6 solution in massive type IIA. We show that $$ \overline{\mathrm{D}p} $$ branes are metastable against annihilation in these backgrounds, at least at the probe level.

Highlights

  • Following the original work of Brown and Teitelboim (BT) [4] we anticipate the presence of nonperturbative processes that lower the flux quanta

  • The RR channel is accompanied by brane annihilation that can be understood from the Dp branes polarising into D(p + 2) branes, whereas the NSNS channel corresponds to Dp branes polarising into NS5 branes or KK5 branes

  • This suggests that the BT bubble is the thin wall limit of a more complicated process where the finite thickness of the bubble has to account for the dynamics that change the brane charge [5]

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Summary

Preliminaries and notation

Consider a compactification of type II supergravity which is supported by NSNS 3-form flux H and RR flux F6−p on a compact space M to some lower-dimensional maximally symmetric vacuum. The NSNS channel is slightly more involved and requires a generalisation of the Myers effect where Dp branes polarise into an NS5 filling spacetime and wrapping a trivial cycle inside the A-cycle.. The NSNS channel is slightly more involved and requires a generalisation of the Myers effect where Dp branes polarise into an NS5 filling spacetime and wrapping a trivial cycle inside the A-cycle.2 In both cases the polarised brane can move either perturbatively or by the means of tunnelling inside the A- or Bcycle to a point where the wrapped trivial cycle pinches off. At this point the flux has been lowered by one unit and the brane charge changes according to (2.5), (2.6). In the subsequent section we analyse the more involved NSNS channel

The decay of RR flux
The decay of NSNS flux
NS5 Wess-Zumino action
D6 annihilation
Tunneling rates
Dp-probes in T-duals of the dissolved D6
Brane nucleation on tori
D3 probes
D4 probes
D5 probes
Discussion
A Different types of brane-flux decay

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