Автор |
Davide Gaiotto |
Автор |
Andrew Strominger |
Автор |
Xi Yin |
Дата выпуска |
2007-09-01 |
dc.description |
The elliptic genus Z<sub>BH</sub> of a large class of 4D black holes can be expressed as an M-theory partition function on an AdS<sub>3</sub> × S<sup>2</sup> × CY<sub>3</sub> attractor. We approximate this partition function by summing over multiparticle chiral primary states of membranes which wrap curves in the CY<sub>3</sub> and tile Landau levels on the horizon S<sup>2</sup>. Significantly, membranes and antimembranes can preserve the same supercharges if they occupy antipodal points on the horizon. It is shown the membrane contribution to Z<sub>BH</sub> gives precisely the topological string partition function Z<sub>top</sub> while the antimembranes give Z̅<sub>top</sub>, implying Z<sub>BH</sub> = |Z<sub>top</sub>|<sup>2</sup> in this approximation. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
From AdS<sub>3</sub>/CFT<sub>2</sub> to black holes/topological strings |
Тип |
paper |
DOI |
10.1088/1126-6708/2007/09/050 |
Electronic ISSN |
1029- 8479 |
Print ISSN |
1126-6708 |
Журнал |
Journal of High Energy Physics |
Том |
2007 |
Первая страница |
50 |
Последняя страница |
050 |
Аффилиация |
Davide Gaiotto; Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, U.S.A. |
Аффилиация |
Andrew Strominger; Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, U.S.A. |
Аффилиация |
Xi Yin; Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, U.S.A. |
Выпуск |
09 |