Maze Topiary in Supergravity
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912195096346624 |
|---|---|
| author | Bena, Iosif Houppe, Anthony Toulikas, Dimitrios Warner, Nicholas P. |
| author_facet | Bena, Iosif Houppe, Anthony Toulikas, Dimitrios Warner, Nicholas P. |
| contents | 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-Ampère equation. We also show that the near-brane limit of certain intersections are $AdS_3 \times S^3 \times S^3$ 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 BTZ$^{extremal} \times S^3 \times S^3 \times Σ$ geometry in which the BTZ momentum is a function of the Riemann surface coordinates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02286 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maze Topiary in Supergravity Bena, Iosif Houppe, Anthony Toulikas, Dimitrios Warner, Nicholas P. High Energy Physics - Theory 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-Ampère equation. We also show that the near-brane limit of certain intersections are $AdS_3 \times S^3 \times S^3$ 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 BTZ$^{extremal} \times S^3 \times S^3 \times Σ$ geometry in which the BTZ momentum is a function of the Riemann surface coordinates. |
| title | Maze Topiary in Supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.02286 |