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Exotic Branes, Double Bubbles, & Superstrata

Masaki Shigemori (KMI Nagoya). Exotic Branes, Double Bubbles, & Superstrata. with Iosif Bena, Jan de Boer, Stefano Giusto & Nick Warner 1004.2521, 1107.2650 , 1110.2781. Saclay, 15 Nov 2011. Claim:. Generic microstates of black holes involve exotic branes and thus are non-geometric.

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Exotic Branes, Double Bubbles, & Superstrata

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  1. Masaki Shigemori (KMI Nagoya) Exotic Branes,Double Bubbles,& Superstrata with Iosif Bena, Jan de Boer, Stefano Giusto & Nick Warner • 1004.2521, 1107.2650, 1110.2781 Saclay, 15 Nov 2011

  2. Claim: Generic microstatesof black holes involve exotic branes andthus are non-geometric.

  3. Exotic branes

  4. Exotic branes • “Forgotten” branes in string theory [9707217 Elitzur+Giveon+Kutasov+Rabinovici] [9712047 Blau+O’Loughlin][9809039 Obers+Pioline]

  5. Exotic branes • “Forgotten” branes in string theory • Co-dimension 2 codim-2 hypersurface

  6. Exotic branes • “Forgotten” branes in string theory • Co-dimension 2 • Charge = U-duality monodromy Jump by a U-dualityas one goes around it Generalization of F-theory 7-branes

  7. Exotic branes • “Forgotten” branes in string theory • Co-dimension 2 • Charge = U-duality monodromy • Non-geometric Even metric can jump! “U-fold”

  8. Supertube effect — “bubbling”

  9. Supertube effect — “bubbling” • Spontaneous polarization phenomenon [Mateos+Townsend] puffs up D2(1ψ) F1(1) D0 New dipole charge created

  10. Supertube effect — “bubbling” • Spontaneous polarization phenomenon • Exotic puff-ups standard brane exotic brane U-dual Ordinary branes cangenerate exotic ones!

  11. Supertube effect — “bubbling” • Spontaneous polarization phenomenon • Exotic puff-ups • Exotic branes: ubiquitous • Important for generic non-perturbative physics of string theory! • Notable example: black hole

  12. “Single bubbling” • 2-charge system (“small” BH) D1(5) D5(56789) KKM(6789;5) puff up 1-dim curve geometric microstates (Lunin-Mathur)

  13. “Double bubbling” • 3-charge system: real BH M2(56) M2(78) M2(9A) M5(789A) M5(569A) M5(5678) 53(789A,56) 53(569A,78) 53(5678,9A) 1-dim curve “supertube” 2-dim surface “superstratum” cf. black ring non-geometric microstates ?

  14. Endless puffing-up?? ? Presumably, a black hole is made of an extremely complicated structure (fuzzball) of exotic branes.

  15. ...Really?

  16. Susy in supertube [Bena+deBoer+Warner+MS 1107.2650] supertube F1+D0+D2+P F1+D0 • Preserves susy • Locally BPS • Which is preserved depends on local orientation • Common susy preserved = original susy This is why supertube can be along an arbitrary curve.

  17. Susy in superstratum superstratum 3-charge sys. • Preserves susy • Locally BPS • Which is preserved depends on local orientation • Common susy preserved = original susy If true, superstratum can be along an arbitrary surface in principle!

  18. Example: F1-P  D2 F1 P Susy preserved by original config: Tilted and boosted F1-P Projector after puffing up: Same ¼ susy preserved

  19. General formula for 12 puff-up Projectors before puffing up: Projector after puffing up:

  20. D1-D5-P (1) D1 P D5 Original config. Infinite straight superstratum Infinite straight supertube = tilted and boosted D1-D5 Special case; superstratum is purely geometric puffs up just likeD1-D5  KKM(LM geom.)

  21. D1-D5-P (2) D1 P D5 , Same 1/8 susy preserved

  22. Toward backreacted strata • Dynamics of superstrata • Arbitrary surface possible? • 6D sugra (D1-D5-P) • Linear problem if solved in the right order • -dep 4D almost HK base, functions & forms on it • Given superstrum data,should be possible tofind solutions [Gutowski+Martelli+Reall] [Cariglia+MacConamhna] [Bena+Giusto+Warner+MS 1110.2781] E.g. D1-D5-Pd1-d5 supertube

  23. More general superstrata • Non-geometric (exotic) superstrata • More general superstrata • Locally geometric • Generalize susy sol’n ansatz • Generalized geometry, DFT [Berman, Hohm, Hull, Perry, Zwiebach, …]

  24. Conjecture: Generic microstates of black holes involve non-geometric superstrata.

  25. Thanks!

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