Maze topiary in supergravity
Abstract We show that the supergravity solutions for 1 4 $$ \frac{1}{4} $$ -BPS intersecting systems of M2 and M5 branes are completely characterized by a single “maze” function that satisfies a non-linear “maze” equation similar to the Monge-Ampère equation. We also show that the near-brane limit o...
| Published in: | Journal of High Energy Physics |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2025)120 |
| Summary: | Abstract We show that the supergravity solutions for 1 4 $$ \frac{1}{4} $$ -BPS intersecting systems of M2 and M5 branes are completely characterized by a single “maze” function that satisfies a non-linear “maze” equation similar to the Monge-Ampère equation. We also show that the near-brane limit of certain intersections are AdS3×S3×S3 solutions warped over a Riemann surface, Σ. There is an extensive literature on these subjects and we construct mappings between various approaches and use brane probes to elucidate the relationships between the M2-M5 and AdS systems. We also use dualities to map our results onto other systems of intersecting branes. This work is motivated by the recent realization that adding momentum to M2-M5 intersections gives a supermaze that can reproduce the black-hole entropy without ever developing an event horizon. We take a step in this direction by adding a certain type of momentum charges that blackens the M2-M5 intersecting branes. The near-brane limit of these solutions is a BTZextremal×S3×S3 × Σ geometry in which the BTZ momentum is a function of the Riemann surface coordinates. |
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| ISSN: | 1029-8479 |