Abstract
Abstract We analyze the basic M2-M5 intersection in the supergravity regime using the blackfold approach. This approach allows us to recover the 1/4-BPS self-dual string soliton solution of Howe, Lambert and West as a three-funnel solution of an effective fivebrane worldvolume theory in a new regime, the regime of a large number of M2 and M5 branes. In addition, it allows us to discuss finite temperature effects for non-extremal self-dual string soliton solutions and wormhole solutions interpolating between stacks of M5 and anti-M5 branes. The purpose of this paper is to exhibit these solutions and their basic properties.
Highlights
(2) As a three-funnel solution of the Basu-Harvey equation [3], which has been proposed as an M-theoretic generalization of the Nahm equations for the BIon
It allows us to discuss finite temperature effects for non-extremal self-dual string soliton solutions and wormhole solutions interpolating between stacks of M5 and anti-M5 branes
In the present case we will be interested in the effective fivebrane worldvolume dynamics of the M2-M5 bound state [13,14,15,16,17]
Summary
Our starting point is a well-known exact solution of the eleven dimensional supergravity equations of motion that describes the black M2-M5 bound state [13,14,15,16,17]. The solution, which describes M2 brane charge dissolved into the worldvolume of the black fivebrane along the (012) plane, is parameterized by the constants r0, α and θ which control the temperature, the M2 and the M5 brane charge. Ε denotes the energy density, T the temperature, s the entropy density, Q5 the fivebrane charge, Q2 the twobrane charge density, and Φ5, Φ2 the corresponding chemical potentials. We will reserve the notation Q for charges and Q for charge densities. Where, following closely the notation of [10], ua denotes a unit 6-velocity field, ηab the flat induced worldvolume metric, and h(aqb) (q = 2, 5) is a projector along the worldvolume directions of the M2 and M5 branes respectively.
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