Fluxbranes from p -branes

AbstractIt is shown how magnetic fluxbrane, Fp-brane, solutions are related to electric black p-branes byanalytic continuation. Viewing the transverse space of branes as a warped cone, one finds that thecone base of the p-brane becomes the world-volume of the F(D-p-3)-brane and the world volume ofthe p-brane becomes the conebase of the F(D-p-3)-brane. An explicit example of the correspondenceis given for a 2-brane and F6-brane of 11D supergravity. 1 Introduction A long standing solution to Einstein-Maxwell theory is the Melvin Universe [1], describing how parallellines of magnetic (electric) flux self-gravitates to form a classically stable flux-tube [2]. The solutionwas later extended to dilaton-Einstein-Maxwell theory in arbitrary dimensions in order to give ita place in supergravity theories [3]. It was later discovered that the dilaton-Melvin solution has arather distinguished heritage, as it can be derived from pure gravity in one dimension higher bycompactification of Minkowski space [4]. This aspect of the solution then leads it to being an exactsigma model background for string theory [5]. Further interest in the Melvin solution comes fromduality arguments; it is believed that a Melvin background with field strength B in type 0A and aMelvin background with B