Exotic Branes, - PowerPoint Presentation

Slide1

Exotic Branes,Double Bubbles,& Superstrata

Saclay, 15 Nov 2011

Masaki Shigemori(KMI Nagoya)

with Iosif Bena, Jan de Boer, Stefano Giusto & Nick Warner1004.2521, 1107.2650, 1110.2781Slide2

Claim:Generic microstates

of black holes involveexotic branes andthus are non-geometric.Slide3

Exotic branes3Slide4

Exotic branes3

“Forgotten” branes in string theory

[9707217 Elitzur+Giveon+Kutasov+Rabinovici][9712047 Blau+O’Loughlin][9809039 Obers+Pioline]Slide5

Exotic branes3

“Forgotten” branes in string theoryCo-dimension 2

codim-2

hypersurfaceSlide6

Exotic branes3

“Forgotten” branes in string theoryCo-dimension 2Charge = U-duality monodromy

Jump by a U-duality

as one goes around it

Generalization of F-theory 7-branesSlide7

Exotic branes3

“Forgotten” branes in string theoryCo-dimension 2Charge = U-duality monodromy

Non-geometric

Even metric can jump!

“U-fold”Slide8

Supertube effect — “bubbling”4Slide9

Supertube effect — “bubbling”4

Spontaneous polarization phenomenon

D0F1(1)

D2(1ψ)

puffs up

New dipole charge created

[

Mateos+Townsend

]Slide10

Supertube effect — “bubbling”4

Spontaneous polarization phenomenonExotic puff-ups

U-dual

Ordinary branes can

generate exotic ones!

standard

brane

e

xotic

braneSlide11

Supertube effect — “bubbling”4

Spontaneous polarization phenomenonExotic puff-upsExotic branes: ubiquitous

Important for generic non-perturbative physics of string theory!Notable example: black holeSlide12

“Single bubbling”5

2-charge system (“small” BH)

puff upD1(5)D5(56789)

KKM(6789

;5)

1-dim curve

geometric microstates

(Lunin-Mathur)

 Slide13

“Double bubbling”6

3-charge system: real BH

M2(56)M2(78)M2(9A)

cf. black ring

M5(789A

)

M5(569A

)

M5(5678

)

1-dim curve “supertube”

non-geometric

microstates

5

3

(789A

,56

)

5

3

(569A

,

78

)

5

3

(5678

,

9A

)

2-dim surface

“superstratum”

?Slide14

Endless puffing-up??

Presumably, a black hole is made of an extremely complicated structure (fuzzball) of exotic branes.

7

?

 Slide15

...Really?Slide16

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]Slide17

Susy in superstratum9

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!Slide18

Example: F1-P  D210

F1

P

Susy preserved by original

config

:

Tilted and boosted F1-P

Projector after puffing up:

Same ¼ susy preservedSlide19

General formula for 12 puff-up11

Projectors before puffing up:

Projector after puffing up:

 Slide20

D1-D5-P (1)12

D

1

PD5

Original

config

.

Infinite straight supertube

= tilted and boosted D1-D5

Infinite straight superstratum

puffs up just like

D1-D5

 KKM

(LM geom.)

Special case; superstratum is purely geometricSlide21

D1-D5-P (2)13

D

1

PD5

,

Same 1/8 susy preservedSlide22

Dynamics of

superstrataArbitrary surface possible?

6D sugra (D1-D5-P)Linear problem if solved in the right order-dep 4D almost HK base, functions & forms on itGiven superstrum data,should be possible to

find solutions Toward backreacted strata14

E.g. D1-D5-P

d1-d5 supertube

[

Gutowski+Martelli+Reall

] [

Cariglia+Mac

Conamhna

]

[

Bena+Giusto+Warner+MS

1110.2781]Slide23

Non-geometric (exotic) superstrataMore general superstrata

Locally geometricGeneralize susy sol’n ansatz

Generalized geometry, DFTMore general superstrata15

[Berman,

Hohm

, Hull, Perry, Zwiebach, …]Slide24

Conjecture:Generic microstates of black holes involve non-geometric

superstrata.Slide25

Thanks!