5D fuzzball geometries and 4D polar states

Joris Raeymaekers; Walter Van Herck; Bert Vercnocke; Thomas Wyder

doi:10.1088/1126-6708/2008/10/039

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arXiv · 0805.3506

5D fuzzball geometries and 4D polar states

Joris Raeymaekers·Walter Van Herck·Bert Vercnocke·Thomas Wyder

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Abstract

We analyze the map between a class of `fuzzball' solutions in five dimensions and four-dimensional multicentered solutions under the 4D-5D connection, and interpret the resulting configurations in the framework of Denef and Moore. In five dimensions, we consider Kaluza-Klein monopole supertubes with circular profile which represent microstates of a small black ring. The resulting four-dimensional configurations are, in a suitable duality frame, polar states consisting of stacks of D6 and anti-D6 branes with flux. We argue that these four-dimensional configurations represent zero-entropy constituents of a 2-centered configuration where one of the centers is a small black hole. We also discuss how spectral flow transformations in five dimensions, leading to configurations with momentum, give rise to four-dimensional D6 anti-D6 polar configurations with different flux distributions at the centers.

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Joris Raeymaekers, Walter Van Herck, Bert Vercnocke, Thomas Wyder. 2008-11-03. 5D fuzzball geometries and 4D polar states. https://doi.org/10.1088/1126-6708%2F2008%2F10%2F039

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