Waves on Mazes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917647686303744 |
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| author | Bena, Iosif Dulac, Raphaël Houppe, Anthony Toulikas, Dimitrios Warner, Nicholas P. |
| author_facet | Bena, Iosif Dulac, Raphaël Houppe, Anthony Toulikas, Dimitrios Warner, Nicholas P. |
| contents | One way to describe the entropy of black holes comes from partitioning momentum charge across fractionated intersecting brane systems. Here we construct $\frac{1}{8}$-BPS solutions by adding momentum to a maze of M2-brane strips stretched between M5 branes. Before the addition of momentum, the $\frac{1}{4}$-BPS supergravity solution describing the maze is governed by a master function obeying a complicated Monge-Ampère equation. Given such a solution, we show that one can add momentum waves without modifying the $\frac{1}{4}$-BPS M2-M5 background. Remarkably, these excitations are fully determined by a layered set of $\textit{linear}$ equations. The fields responsible for carrying the momentum are parameterized by arbitrary functions of a null direction, and have exactly the same structure as in brane world-volume constructions. The fact that the momentum and flux excitations of the M2-M5-P system are governed by a linear structure brings us one step closer to using supergravity solutions to capture the entropy of supersymmetric black-holes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Waves on Mazes Bena, Iosif Dulac, Raphaël Houppe, Anthony Toulikas, Dimitrios Warner, Nicholas P. High Energy Physics - Theory One way to describe the entropy of black holes comes from partitioning momentum charge across fractionated intersecting brane systems. Here we construct $\frac{1}{8}$-BPS solutions by adding momentum to a maze of M2-brane strips stretched between M5 branes. Before the addition of momentum, the $\frac{1}{4}$-BPS supergravity solution describing the maze is governed by a master function obeying a complicated Monge-Ampère equation. Given such a solution, we show that one can add momentum waves without modifying the $\frac{1}{4}$-BPS M2-M5 background. Remarkably, these excitations are fully determined by a layered set of $\textit{linear}$ equations. The fields responsible for carrying the momentum are parameterized by arbitrary functions of a null direction, and have exactly the same structure as in brane world-volume constructions. The fact that the momentum and flux excitations of the M2-M5-P system are governed by a linear structure brings us one step closer to using supergravity solutions to capture the entropy of supersymmetric black-holes. |
| title | Waves on Mazes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.14477 |