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Abstract
We derive a non-BPS linear ansatz using the charged Weyl formalism in string and M-theory backgrounds. Generic solutions are static and axially-symmetric with an arbitrary number of non-BPS sources corresponding to various brane, momentum and KKm charges. Regular sources are either four-charge non-extremal black holes or smooth non-BPS bubbles. We construct several families such as chains of non-extremal black holes or smooth non-BPS bubbling geometries and study their physics. The smooth horizonless geometries can have the same mass and charges as non-extremal black holes. Furthermore, we find examples that scale towards the four-charge BPS black hole when the non-BPS parameters are taken to be small, but the horizon is smoothly resolved by adding a small amount of non-extremality.
Highlights
We find examples that scale towards the four-charge BPS black hole when the non-BPS parameters are taken to be small, but the horizon is smoothly resolved by adding a small amount of non-extremality
The construction of solitons with non-trivial topologies and matter fields in supergravity theories has generally been limited to the frontier of supersymmetry
Supersymmetry provides BPS conditions that force the sources to have an electromagnetic potential that is equal to the gravitational potential
Summary
The construction of solitons with non-trivial topologies and matter fields in supergravity theories has generally been limited to the frontier of supersymmetry. Supersymmetry provides BPS conditions that force the sources to have an electromagnetic potential that is equal to the gravitational potential This allows linearization of the equations of motion and generation of backgrounds with multiple sources that do not interact strongly. In this context, BPS equations led to “floating brane” ansatz where BPS brane sources “float” relative to each other, preventing gravitational collapse by electromagnetic flux. BPS equations led to “floating brane” ansatz where BPS brane sources “float” relative to each other, preventing gravitational collapse by electromagnetic flux It is an interesting and important question to ask whether such ansatz can survive the non-BPS regime where the electromagnetic forces are not canceled by the gravitational force. This would require non-trivial novel mechanisms to allow for non-collapsing sources
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