Maze Topiary in Supergravity
Iosif Bena, Anthony Houppe, Dimitrios Toulikas, Nicholas P. Warner

TL;DR
This paper introduces a unified 'maze' function framework to characterize 1/4-BPS intersecting M2 and M5 brane solutions in supergravity, revealing connections to AdS geometries and black hole entropy without horizons.
Contribution
It presents a novel 'maze' equation for supergravity solutions and explores their relations to AdS spaces, brane probes, and dualities, advancing understanding of black-hole microstates.
Findings
Supergravity solutions are characterized by a single maze function.
Near-brane limits relate to warped AdS3 x S3 x S3 geometries.
Adding momentum charges leads to blackening and BTZ geometries.
Abstract
We show that the supergravity solutions for 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-Amp\`ere equation. We also show that the near-brane limit of certain intersections are solutions warped over a Riemann surface, . 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…
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Taxonomy
TopicsBlack Holes and Theoretical Physics
