Aarhus Universitets segl

Non-Holomorphic Cycles and Non-BPS Black Branes

Publikation: Working paper/Preprint Working paperForskning


  • Cody Long, Harvard University, USA
  • Artan Sheshmani, Harvard University, Higher School of Economics
  • ,
  • Cumrun Vafa, Harvard University, USA
  • Shing-Tung Yau, Harvard University
We study extremal non-BPS black holes and strings arising in M-theory compactifications on Calabi-Yau threefolds, obtained by wrapping M2 branes on non-holomorphic 2-cycles and M5 branes on non-holomorphic 4-cycles. Using the attractor mechanism we compute the black hole mass and black string tension, leading to a conjectural formula for the asymptotic volumes of connected, locally volume-minimizing representatives of non-holomorphic, even-dimensional homology classes in the threefold, without knowledge of an explicit metric. In the case of divisors we find examples where the volume of the representative corresponding to the black string is less than the volume of the minimal piecewise-holomorphic representative, predicting recombination for those homology classes and leading to stable, non-BPS strings. We also compute the central charges of non-BPS strings in F-theory via a near-horizon AdS3 limit in 6d which, upon compactification on a circle, account for the asymptotic entropy of extremal non-supersymmetric 5d black holes (i.e., the asymptotic count of non-holomorphic minimal 2-cycles).
Antal sider57
StatusUdgivet - apr. 2021

Se relationer på Aarhus Universitet Citationsformater

ID: 216561091