exotic branes, double bubbles, & superstrata
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Exotic Branes,Double Bubbles,& Superstrata
Saclay, 15 Nov 2011
Masaki Shigemori(KMI Nagoya)
with Iosif Bena, Jan de Boer, Stefano Giusto & Nick Warner
1004.2521, 1107.2650, 1110.2781
Claim:Generic microstates
of black holes involveexotic branes and
thus are non-geometric.
3
Exotic branes
Exotic branes
3
“Forgotten” branes in string
theory[9707217 Elitzur+Giveon+Kutasov+Rabinovici][9712047 Blau+O’Loughlin][9809039 Obers+Pioline]
Exotic branes
3
“Forgotten” branes in string
theory
Co-dimension 2
codim-2 hypersurface
Exotic branes
3
“Forgotten” branes in string
theory
Co-dimension 2
Charge = U-duality monodromyJump by a U-dualityas one goes around itGeneralization of F-theory 7-branes
Exotic branes
3
“Forgotten” branes in string theory
Co-dimension 2
Charge = U-duality monodromy
Non-geometric Even metric can jump!
“U-fold”
Supertube effect — “bubbling”
4
Supertube effect — “bubbling”
4
Spontaneous polarization
phenomenonD0F1(1
)D2(1ψ)𝜓
puffs up
𝑥1 𝑥1 New dipole
charge created
[Mateos+Townsend]
Supertube effect — “bubbling”
4
Spontaneous polarization
phenomenon
Exotic puff-ups
D 4 (6789 )+D 4 (4589 )→522(4567𝜓 ,89)
F1 (1 )+D 0→D 2(1𝜓)
U-dual
Ordinary branes cangenerate exotic ones! standard
braneexotic brane
Supertube effect — “bubbling”
4
Spontaneous polarization
phenomenon
Exotic puff-ups
Exotic branes: ubiquitous Important for generic non-
perturbative physics of string theory!
Notable example: black hole
“Single bubbling”
5
2-charge system (“small” BH)
puff up
D1(5)D5(56789)
KKM(6789;5)
1-dim curve geometric
microstates(Lunin-Mathur)𝑆micro=𝑆geom
𝜓
“Double bubbling”
6
3-charge system: real BHM2(56)M2(78)M2(9A)
cf. black ring
M5(789A)M5(569A)M5(5678)
1-dim curve “supertube”
non-geometricmicrostates
53(789A,56)53(569A,78)53(5678,9A)
2-dim surface “superstratum”
𝑆micro=𝑆nongeom?
Endless puffing-up??
⋮
Presumably, a black hole is made of an extremely
complicated structure (fuzzball) of exotic branes.
7
?
⋮
...Really?
Susy in supertube
8
F1+D0
Preserves susy
Locally BPS Which is preserved
depends on local orientation
Common susy preserved = original susy
F1+D0+D2+P
supertube
This is why supertube can be along an arbitrary curve.
[Bena+de Boer+Warner+MS 1107.2650]
Susy in superstratum
9
3-charge sys.
Preserves susy
Locally BPS Which is preserved
depends on local orientation
Common susy preserved = original susy
superstratum
If true, superstratum can be along an arbitrary surface in principle!
Example: F1-P D2
10
F1
P
Susy preserved by original
config:
Tilted and boosted F1-P
Projector after puffing up:
Same ¼ susy preserved
General formula for 12 puff-up
11
¿𝑐 (𝑐−𝑠 Γ 0𝜓 )Π 1+𝑠 (𝑠−𝑐 Γ0𝜓 )Π 2+2𝑠𝑐 Γ 0𝜓 Π 1Π 2
Projectors before puffing up:
Π 1=12 (1+𝑃1 ) , Π 2=
12 (1+𝑃2 )
Projector after puffing up: 𝜓
Π=12 [1+𝑐
2 𝑃1+𝑠2𝑃2−𝑠𝑐 Γ 0𝜓+𝑠𝑐 Γ 0𝜓 𝑃1 𝑃2]
D1-D5-P (1)
12
D1 PD5
Original config. Infinite straight supertube
= tilted and boosted D1-D5
Infinite straight superstratum
puffs up just likeD1-D5 KKM(LM geom.)
Special case; superstratum is
purely geometric
D1-D5-P (2)
13
D1 PD5
,
Same 1/8 susy preserved
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
Toward backreacted strata
14
�⃗�=�⃗� 𝑖 (𝑡−𝑥5 )
E.g. D1-D5-Pd1-d5 supertube
[Gutowski+Martelli+Reall] [Cariglia+Mac Conamhna][Bena+Giusto+Warner+MS 1110.2781]
Non-geometric (exotic) superstrata More general superstrata Locally geometric Generalize susy sol’n ansatz Generalized geometry, DFT
More general superstrata
15
[Berman, Hohm, Hull, Perry, Zwiebach, …]
Conjecture:Generic
microstates of black holes involve non-geometric
superstrata.
Thanks!